Kirchhoff's Loop Rule - AP Physics 2
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State the formula for Kirchhoff's Loop Rule.
State the formula for Kirchhoff's Loop Rule.
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$\text{Sum of } V = 0$ for a closed loop. Mathematical expression of Kirchhoff's Loop Rule.
$\text{Sum of } V = 0$ for a closed loop. Mathematical expression of Kirchhoff's Loop Rule.
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In a loop with a $10 \text{V}$ battery and $7 \text{V}$, $2 \text{V}$ drops, find missing voltage.
In a loop with a $10 \text{V}$ battery and $7 \text{V}$, $2 \text{V}$ drops, find missing voltage.
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$1 \text{V}$. Missing voltage: $10 - 7 - 2 = 1\text{V}$.
$1 \text{V}$. Missing voltage: $10 - 7 - 2 = 1\text{V}$.
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How are resistances considered in Kirchhoff's Loop Rule?
How are resistances considered in Kirchhoff's Loop Rule?
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As potential drops. Voltage drops according to Ohm's law.
As potential drops. Voltage drops according to Ohm's law.
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Find the error: Loop equation $3 \text{V} + 4 \text{V} = 8 \text{V}$.
Find the error: Loop equation $3 \text{V} + 4 \text{V} = 8 \text{V}$.
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Correct: $3 \text{V} + 4 \text{V} = 7 \text{V}$. Addition error: $3 + 4 = 7$, not $8$.
Correct: $3 \text{V} + 4 \text{V} = 7 \text{V}$. Addition error: $3 + 4 = 7$, not $8$.
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In a loop with a $10 \text{V}$ battery and $7 \text{V}$, $2 \text{V}$ drops, find missing voltage.
In a loop with a $10 \text{V}$ battery and $7 \text{V}$, $2 \text{V}$ drops, find missing voltage.
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$1 \text{V}$. Missing voltage: $10 - 7 - 2 = 1\text{V}$.
$1 \text{V}$. Missing voltage: $10 - 7 - 2 = 1\text{V}$.
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What does the loop rule imply for a series circuit?
What does the loop rule imply for a series circuit?
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Sum of voltage drops equals source voltage. Consequence of Kirchhoff's Loop Rule in series circuits.
Sum of voltage drops equals source voltage. Consequence of Kirchhoff's Loop Rule in series circuits.
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What is the potential change in a loop with a $5 \text{V}$ battery and $5 \text{V}$ drop?
What is the potential change in a loop with a $5 \text{V}$ battery and $5 \text{V}$ drop?
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Zero. Voltage gain equals voltage drop, net change is zero.
Zero. Voltage gain equals voltage drop, net change is zero.
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Identify the error: Loop equation $10 \text{V} - 5 \text{V} = 6 \text{V}$.
Identify the error: Loop equation $10 \text{V} - 5 \text{V} = 6 \text{V}$.
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Correct: $10 \text{V} - 5 \text{V} = 5 \text{V}$. Basic subtraction error: $10 - 5 = 5$, not $6$.
Correct: $10 \text{V} - 5 \text{V} = 5 \text{V}$. Basic subtraction error: $10 - 5 = 5$, not $6$.
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In a loop with two batteries, how do you determine the net emf?
In a loop with two batteries, how do you determine the net emf?
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Add emfs algebraically considering direction. Consider polarity when combining multiple voltage sources.
Add emfs algebraically considering direction. Consider polarity when combining multiple voltage sources.
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Calculate $V_3$: $V_1 = 8 \text{V}$, $V_2 = 1 \text{V}$, total $= 10 \text{V}$.
Calculate $V_3$: $V_1 = 8 \text{V}$, $V_2 = 1 \text{V}$, total $= 10 \text{V}$.
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$V_3 = 1 \text{V}$. $V_3 = 10 - 8 - 1 = 1\text{V}$.
$V_3 = 1 \text{V}$. $V_3 = 10 - 8 - 1 = 1\text{V}$.
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Calculate the total voltage in a loop with $10 \text{V}$ gain and $10 \text{V}$ drop.
Calculate the total voltage in a loop with $10 \text{V}$ gain and $10 \text{V}$ drop.
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Zero. Voltage gain equals voltage drop, net is zero.
Zero. Voltage gain equals voltage drop, net is zero.
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State the formula for Kirchhoff's Loop Rule.
State the formula for Kirchhoff's Loop Rule.
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$\text{Sum of } V = 0$ for a closed loop. Mathematical expression of Kirchhoff's Loop Rule.
$\text{Sum of } V = 0$ for a closed loop. Mathematical expression of Kirchhoff's Loop Rule.
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What must the sum of potential differences in a closed circuit equal?
What must the sum of potential differences in a closed circuit equal?
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Zero. Follows from conservation of energy principle.
Zero. Follows from conservation of energy principle.
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In Kirchhoff's Loop Rule, what is the sum of emfs and potential drops in a loop?
In Kirchhoff's Loop Rule, what is the sum of emfs and potential drops in a loop?
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Zero. Consequence of energy conservation principle.
Zero. Consequence of energy conservation principle.
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In Kirchhoff's Loop Rule, what is the net change in electric potential?
In Kirchhoff's Loop Rule, what is the net change in electric potential?
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Zero. Starting and ending at same point yields zero net change.
Zero. Starting and ending at same point yields zero net change.
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What is Kirchhoff's Loop Rule?
What is Kirchhoff's Loop Rule?
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The total voltage around a closed loop is zero. Based on conservation of energy in electric circuits.
The total voltage around a closed loop is zero. Based on conservation of energy in electric circuits.
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Find the missing voltage if the loop sum must be zero: $V_1 = 6 \text{V}$, $V_2 = 4 \text{V}$.
Find the missing voltage if the loop sum must be zero: $V_1 = 6 \text{V}$, $V_2 = 4 \text{V}$.
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$V_3 = -10 \text{V}$. Loop sum must be zero: $V_3 = 0 - 6 - 4 = -10\text{V}$.
$V_3 = -10 \text{V}$. Loop sum must be zero: $V_3 = 0 - 6 - 4 = -10\text{V}$.
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How is Kirchhoff's Loop Rule used in mesh analysis?
How is Kirchhoff's Loop Rule used in mesh analysis?
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To set up equations for unknown currents. Creates system of equations for circuit analysis.
To set up equations for unknown currents. Creates system of equations for circuit analysis.
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What happens to total potential in a loop with equal voltage gains and drops?
What happens to total potential in a loop with equal voltage gains and drops?
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It remains zero. Gains and drops cancel each other out.
It remains zero. Gains and drops cancel each other out.
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If a loop has a $15 \text{V}$ battery and $5 \text{V}$, $3 \text{V}$ drops, what is the remaining drop?
If a loop has a $15 \text{V}$ battery and $5 \text{V}$, $3 \text{V}$ drops, what is the remaining drop?
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$7 \text{V}$. Remaining drop: $15 - 5 - 3 = 7\text{V}$.
$7 \text{V}$. Remaining drop: $15 - 5 - 3 = 7\text{V}$.
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What is the value of missing voltage if loop sum is zero: $V_1 = 5 \text{V}$, $V_2 = 7 \text{V}$?
What is the value of missing voltage if loop sum is zero: $V_1 = 5 \text{V}$, $V_2 = 7 \text{V}$?
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$V_3 = -12 \text{V}$. For zero sum: $V_3 = 0 - 5 - 7 = -12\text{V}$.
$V_3 = -12 \text{V}$. For zero sum: $V_3 = 0 - 5 - 7 = -12\text{V}$.
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In a loop with $12 \text{V}$ gain, $4 \text{V}$ drop, find the remaining voltage drop.
In a loop with $12 \text{V}$ gain, $4 \text{V}$ drop, find the remaining voltage drop.
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$8 \text{V}$. Remaining drop: $12 - 4 = 8\text{V}$.
$8 \text{V}$. Remaining drop: $12 - 4 = 8\text{V}$.
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Which component's voltage is considered positive in the loop equation?
Which component's voltage is considered positive in the loop equation?
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Battery in the direction of emf. EMF increases potential when traversed from negative to positive terminal.
Battery in the direction of emf. EMF increases potential when traversed from negative to positive terminal.
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Identify the loop equation for a $6 \text{V}$ battery and $2 \text{V}$, $4 \text{V}$ drops.
Identify the loop equation for a $6 \text{V}$ battery and $2 \text{V}$, $4 \text{V}$ drops.
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$6 \text{V} - 2 \text{V} - 4 \text{V} = 0$. Battery voltage equals sum of resistor drops.
$6 \text{V} - 2 \text{V} - 4 \text{V} = 0$. Battery voltage equals sum of resistor drops.
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How does Kirchhoff's Loop Rule apply to AC circuits?
How does Kirchhoff's Loop Rule apply to AC circuits?
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It applies to instantaneous voltages. Rule applies at each instant in time.
It applies to instantaneous voltages. Rule applies at each instant in time.
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What does Kirchhoff's Loop Rule say about net emf and potential difference in a loop?
What does Kirchhoff's Loop Rule say about net emf and potential difference in a loop?
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They must sum to zero. Energy conservation requires zero net potential change.
They must sum to zero. Energy conservation requires zero net potential change.
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What is Kirchhoff's Loop Rule used for in electrical circuits?
What is Kirchhoff's Loop Rule used for in electrical circuits?
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Analyzing voltage distribution. Determines how voltage is distributed in circuits.
Analyzing voltage distribution. Determines how voltage is distributed in circuits.
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How are resistances considered in Kirchhoff's Loop Rule?
How are resistances considered in Kirchhoff's Loop Rule?
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As potential drops. Voltage drops according to Ohm's law.
As potential drops. Voltage drops according to Ohm's law.
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Which physical quantity is conserved according to Kirchhoff's Loop Rule?
Which physical quantity is conserved according to Kirchhoff's Loop Rule?
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Energy. Electric potential energy is conserved around closed loops.
Energy. Electric potential energy is conserved around closed loops.
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What role do resistors play in Kirchhoff's Loop Rule?
What role do resistors play in Kirchhoff's Loop Rule?
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Contribute voltage drops. Current through resistance creates voltage drop.
Contribute voltage drops. Current through resistance creates voltage drop.
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