Electric Potential Energy - MCAT Chemical and Physical Foundations of Biological Systems
Card 1 of 35
For the following:
e = 1.60 times $10^{-19}$
k = 8.99 times $10^{9}$
If a charge of magnitude +4e is being held in place 3 nm from a charge of -5e which is also being held in place. What is the potential energy of the system?
For the following:
e = 1.60 times $10^{-19}$
k = 8.99 times $10^{9}$
If a charge of magnitude +4e is being held in place 3 nm from a charge of -5e which is also being held in place. What is the potential energy of the system?
Tap to reveal answer
U= $\frac{kQq}{r}$
Given the equation and plugging in the values of e and k, we get that
U= 1.53times $10^{-18}$
It is important to keep in mind that the charge e is given in the question and must be incorporated into the formula by multiplying each charge by that value.
U= $\frac{kQq}{r}$
Given the equation and plugging in the values of e and k, we get that
U= 1.53times $10^{-18}$
It is important to keep in mind that the charge e is given in the question and must be incorporated into the formula by multiplying each charge by that value.
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If the electrical potential energy between two equal charges quadruples, describe the change in the distance between the particles.
If the electrical potential energy between two equal charges quadruples, describe the change in the distance between the particles.
Tap to reveal answer
Electrical potential energy is given by the equation 
.
Electrical potential energy is inversely proportional to the distance between the two charges. If the energy is quadrupled, then 
(the distance between the two equal charges) must have decreased proportionally.
For the energy to be quadrupled, the radius must be quartered.
Electrical potential energy is given by the equation
Electrical potential energy is inversely proportional to the distance between the two charges. If the energy is quadrupled, then
For the energy to be quadrupled, the radius must be quartered.
← Didn't Know|Knew It →
Which of the following is not true regarding electric potential?
Which of the following is not true regarding electric potential?
Tap to reveal answer
A positive test charge will naturally move from high potential to low potential. If it is moved in the opposite direction, then the electric field will do work against its motion (negative work). This be seen from the equation for electric field work:
is the work done by the electric field, 
is the charge, and 
is the potential difference. If 
is positive (the final potential is higher than the initial potential) and 
is also positive, then work done by the field is negative.
A positive test charge will naturally move from high potential to low potential. If it is moved in the opposite direction, then the electric field will do work against its motion (negative work). This be seen from the equation for electric field work:
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How much work is required to bring together the three given charges from infinity to the corners of an equilateral triangle of side length 1cm?
How much work is required to bring together the three given charges from infinity to the corners of an equilateral triangle of side length 1cm?
Tap to reveal answer
Relevant equations:
Step 1: Since the work done to assemble the charges equals their potential energy in this arrangment, find the potential energy between each pair of charges. Work is equal to change in potential energy; since the charges start at infinite distance, initially potential energy is equal to zero.
Charges 1 and 2
Charges 1 and 3
Charges 2 and 3
Step 2: Add together all these potential energies to find the total energy of the arrangement.
Relevant equations:
Step 1: Since the work done to assemble the charges equals their potential energy in this arrangment, find the potential energy between each pair of charges. Work is equal to change in potential energy; since the charges start at infinite distance, initially potential energy is equal to zero.
Charges 1 and 2
Charges 1 and 3
Charges 2 and 3
Step 2: Add together all these potential energies to find the total energy of the arrangement.
← Didn't Know|Knew It →
A standard AC outlet is capable of delivering 
of current. What is the maximum possible voltage given by the outlet.
A standard AC outlet is capable of delivering
Tap to reveal answer
Since the given voltage is the root mean squared voltage we must multiply the voltage by 
to find the maximum voltage.
We determine that the maximum voltage delivered by the outlet is 
.
Since the given voltage is the root mean squared voltage we must multiply the voltage by
We determine that the maximum voltage delivered by the outlet is
← Didn't Know|Knew It →
For the following:
e = 1.60 times $10^{-19}$
k = 8.99 times $10^{9}$
If a charge of magnitude +4e is being held in place 3 nm from a charge of -5e which is also being held in place. What is the potential energy of the system?
For the following:
e = 1.60 times $10^{-19}$
k = 8.99 times $10^{9}$
If a charge of magnitude +4e is being held in place 3 nm from a charge of -5e which is also being held in place. What is the potential energy of the system?
Tap to reveal answer
U= $\frac{kQq}{r}$
Given the equation and plugging in the values of e and k, we get that
U= 1.53times $10^{-18}$
It is important to keep in mind that the charge e is given in the question and must be incorporated into the formula by multiplying each charge by that value.
U= $\frac{kQq}{r}$
Given the equation and plugging in the values of e and k, we get that
U= 1.53times $10^{-18}$
It is important to keep in mind that the charge e is given in the question and must be incorporated into the formula by multiplying each charge by that value.
← Didn't Know|Knew It →
If the electrical potential energy between two equal charges quadruples, describe the change in the distance between the particles.
If the electrical potential energy between two equal charges quadruples, describe the change in the distance between the particles.
Tap to reveal answer
Electrical potential energy is given by the equation .
Electrical potential energy is inversely proportional to the distance between the two charges. If the energy is quadrupled, then (the distance between the two equal charges) must have decreased proportionally.
For the energy to be quadrupled, the radius must be quartered.
Electrical potential energy is given by the equation
Electrical potential energy is inversely proportional to the distance between the two charges. If the energy is quadrupled, then
For the energy to be quadrupled, the radius must be quartered.
← Didn't Know|Knew It →
Which of the following is not true regarding electric potential?
Which of the following is not true regarding electric potential?
Tap to reveal answer
A positive test charge will naturally move from high potential to low potential. If it is moved in the opposite direction, then the electric field will do work against its motion (negative work). This be seen from the equation for electric field work:
is the work done by the electric field, is the charge, and is the potential difference. If is positive (the final potential is higher than the initial potential) and is also positive, then work done by the field is negative.
A positive test charge will naturally move from high potential to low potential. If it is moved in the opposite direction, then the electric field will do work against its motion (negative work). This be seen from the equation for electric field work:
← Didn't Know|Knew It →
How much work is required to bring together the three given charges from infinity to the corners of an equilateral triangle of side length 1cm?
How much work is required to bring together the three given charges from infinity to the corners of an equilateral triangle of side length 1cm?
Tap to reveal answer
Relevant equations:
Step 1: Since the work done to assemble the charges equals their potential energy in this arrangment, find the potential energy between each pair of charges. Work is equal to change in potential energy; since the charges start at infinite distance, initially potential energy is equal to zero.
Charges 1 and 2
Charges 1 and 3
Charges 2 and 3
Step 2: Add together all these potential energies to find the total energy of the arrangement.
Relevant equations:
Step 1: Since the work done to assemble the charges equals their potential energy in this arrangment, find the potential energy between each pair of charges. Work is equal to change in potential energy; since the charges start at infinite distance, initially potential energy is equal to zero.
Charges 1 and 2
Charges 1 and 3
Charges 2 and 3
Step 2: Add together all these potential energies to find the total energy of the arrangement.
← Didn't Know|Knew It →
A standard AC outlet is capable of delivering of current. What is the maximum possible voltage given by the outlet.
A standard AC outlet is capable of delivering
Tap to reveal answer
Since the given voltage is the root mean squared voltage we must multiply the voltage by to find the maximum voltage.
We determine that the maximum voltage delivered by the outlet is .
Since the given voltage is the root mean squared voltage we must multiply the voltage by
We determine that the maximum voltage delivered by the outlet is
← Didn't Know|Knew It →
For the following:
e = 1.60 times $10^{-19}$
k = 8.99 times $10^{9}$
If a charge of magnitude +4e is being held in place 3 nm from a charge of -5e which is also being held in place. What is the potential energy of the system?
For the following:
e = 1.60 times $10^{-19}$
k = 8.99 times $10^{9}$
If a charge of magnitude +4e is being held in place 3 nm from a charge of -5e which is also being held in place. What is the potential energy of the system?
Tap to reveal answer
U= $\frac{kQq}{r}$
Given the equation and plugging in the values of e and k, we get that
U= 1.53times $10^{-18}$
It is important to keep in mind that the charge e is given in the question and must be incorporated into the formula by multiplying each charge by that value.
U= $\frac{kQq}{r}$
Given the equation and plugging in the values of e and k, we get that
U= 1.53times $10^{-18}$
It is important to keep in mind that the charge e is given in the question and must be incorporated into the formula by multiplying each charge by that value.
← Didn't Know|Knew It →
If the electrical potential energy between two equal charges quadruples, describe the change in the distance between the particles.
If the electrical potential energy between two equal charges quadruples, describe the change in the distance between the particles.
Tap to reveal answer
Electrical potential energy is given by the equation .
Electrical potential energy is inversely proportional to the distance between the two charges. If the energy is quadrupled, then (the distance between the two equal charges) must have decreased proportionally.
For the energy to be quadrupled, the radius must be quartered.
Electrical potential energy is given by the equation
Electrical potential energy is inversely proportional to the distance between the two charges. If the energy is quadrupled, then
For the energy to be quadrupled, the radius must be quartered.
← Didn't Know|Knew It →
Which of the following is not true regarding electric potential?
Which of the following is not true regarding electric potential?
Tap to reveal answer
A positive test charge will naturally move from high potential to low potential. If it is moved in the opposite direction, then the electric field will do work against its motion (negative work). This be seen from the equation for electric field work:
is the work done by the electric field, is the charge, and is the potential difference. If is positive (the final potential is higher than the initial potential) and is also positive, then work done by the field is negative.
A positive test charge will naturally move from high potential to low potential. If it is moved in the opposite direction, then the electric field will do work against its motion (negative work). This be seen from the equation for electric field work:
← Didn't Know|Knew It →
How much work is required to bring together the three given charges from infinity to the corners of an equilateral triangle of side length 1cm?
How much work is required to bring together the three given charges from infinity to the corners of an equilateral triangle of side length 1cm?
Tap to reveal answer
Relevant equations:
Step 1: Since the work done to assemble the charges equals their potential energy in this arrangment, find the potential energy between each pair of charges. Work is equal to change in potential energy; since the charges start at infinite distance, initially potential energy is equal to zero.
Charges 1 and 2
Charges 1 and 3
Charges 2 and 3
Step 2: Add together all these potential energies to find the total energy of the arrangement.
Relevant equations:
Step 1: Since the work done to assemble the charges equals their potential energy in this arrangment, find the potential energy between each pair of charges. Work is equal to change in potential energy; since the charges start at infinite distance, initially potential energy is equal to zero.
Charges 1 and 2
Charges 1 and 3
Charges 2 and 3
Step 2: Add together all these potential energies to find the total energy of the arrangement.
← Didn't Know|Knew It →
A standard AC outlet is capable of delivering of current. What is the maximum possible voltage given by the outlet.
A standard AC outlet is capable of delivering
Tap to reveal answer
Since the given voltage is the root mean squared voltage we must multiply the voltage by to find the maximum voltage.
We determine that the maximum voltage delivered by the outlet is .
Since the given voltage is the root mean squared voltage we must multiply the voltage by
We determine that the maximum voltage delivered by the outlet is
← Didn't Know|Knew It →
For the following:
e = 1.60 times $10^{-19}$
k = 8.99 times $10^{9}$
If a charge of magnitude +4e is being held in place 3 nm from a charge of -5e which is also being held in place. What is the potential energy of the system?
For the following:
e = 1.60 times $10^{-19}$
k = 8.99 times $10^{9}$
If a charge of magnitude +4e is being held in place 3 nm from a charge of -5e which is also being held in place. What is the potential energy of the system?
Tap to reveal answer
U= $\frac{kQq}{r}$
Given the equation and plugging in the values of e and k, we get that
U= 1.53times $10^{-18}$
It is important to keep in mind that the charge e is given in the question and must be incorporated into the formula by multiplying each charge by that value.
U= $\frac{kQq}{r}$
Given the equation and plugging in the values of e and k, we get that
U= 1.53times $10^{-18}$
It is important to keep in mind that the charge e is given in the question and must be incorporated into the formula by multiplying each charge by that value.
← Didn't Know|Knew It →
If the electrical potential energy between two equal charges quadruples, describe the change in the distance between the particles.
If the electrical potential energy between two equal charges quadruples, describe the change in the distance between the particles.
Tap to reveal answer
Electrical potential energy is given by the equation .
Electrical potential energy is inversely proportional to the distance between the two charges. If the energy is quadrupled, then (the distance between the two equal charges) must have decreased proportionally.
For the energy to be quadrupled, the radius must be quartered.
Electrical potential energy is given by the equation
Electrical potential energy is inversely proportional to the distance between the two charges. If the energy is quadrupled, then
For the energy to be quadrupled, the radius must be quartered.
← Didn't Know|Knew It →
Which of the following is not true regarding electric potential?
Which of the following is not true regarding electric potential?
Tap to reveal answer
A positive test charge will naturally move from high potential to low potential. If it is moved in the opposite direction, then the electric field will do work against its motion (negative work). This be seen from the equation for electric field work:
is the work done by the electric field, is the charge, and is the potential difference. If is positive (the final potential is higher than the initial potential) and is also positive, then work done by the field is negative.
A positive test charge will naturally move from high potential to low potential. If it is moved in the opposite direction, then the electric field will do work against its motion (negative work). This be seen from the equation for electric field work:
← Didn't Know|Knew It →
How much work is required to bring together the three given charges from infinity to the corners of an equilateral triangle of side length 1cm?
How much work is required to bring together the three given charges from infinity to the corners of an equilateral triangle of side length 1cm?
Tap to reveal answer
Relevant equations:
Step 1: Since the work done to assemble the charges equals their potential energy in this arrangment, find the potential energy between each pair of charges. Work is equal to change in potential energy; since the charges start at infinite distance, initially potential energy is equal to zero.
Charges 1 and 2
Charges 1 and 3
Charges 2 and 3
Step 2: Add together all these potential energies to find the total energy of the arrangement.
Relevant equations:
Step 1: Since the work done to assemble the charges equals their potential energy in this arrangment, find the potential energy between each pair of charges. Work is equal to change in potential energy; since the charges start at infinite distance, initially potential energy is equal to zero.
Charges 1 and 2
Charges 1 and 3
Charges 2 and 3
Step 2: Add together all these potential energies to find the total energy of the arrangement.
← Didn't Know|Knew It →
A standard AC outlet is capable of delivering of current. What is the maximum possible voltage given by the outlet.
A standard AC outlet is capable of delivering
Tap to reveal answer
Since the given voltage is the root mean squared voltage we must multiply the voltage by to find the maximum voltage.
We determine that the maximum voltage delivered by the outlet is .
Since the given voltage is the root mean squared voltage we must multiply the voltage by
We determine that the maximum voltage delivered by the outlet is
← Didn't Know|Knew It →