Electric Potential - AP Physics C: Electricity and Magnetism
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Find the potential at a point on the perpendicular bisector of a dipole.
Find the potential at a point on the perpendicular bisector of a dipole.
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$V = 0$. Symmetric geometry cancels dipole contributions.
$V = 0$. Symmetric geometry cancels dipole contributions.
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What is the potential at infinity?
What is the potential at infinity?
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$V = 0$. Standard reference point for potential calculations.
$V = 0$. Standard reference point for potential calculations.
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What is the unit of electric potential?
What is the unit of electric potential?
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Volt (V). Standard SI unit for electric potential difference.
Volt (V). Standard SI unit for electric potential difference.
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Which equation relates work, charge, and potential difference?
Which equation relates work, charge, and potential difference?
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$W = q \times \triangle V$. Work equals charge times potential difference.
$W = q \times \triangle V$. Work equals charge times potential difference.
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Identify the condition for zero electric potential energy between two charges.
Identify the condition for zero electric potential energy between two charges.
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Charges are infinitely separated. No interaction when charges infinitely far apart.
Charges are infinitely separated. No interaction when charges infinitely far apart.
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Find the potential at a point on the perpendicular bisector of a dipole.
Find the potential at a point on the perpendicular bisector of a dipole.
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$V = 0$. Symmetric geometry cancels dipole contributions.
$V = 0$. Symmetric geometry cancels dipole contributions.
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What happens to potential energy when a charge moves along an equipotential?
What happens to potential energy when a charge moves along an equipotential?
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Potential energy remains constant. No work done moving along constant potential.
Potential energy remains constant. No work done moving along constant potential.
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How does electric potential vary with distance from a point charge?
How does electric potential vary with distance from a point charge?
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Inversely proportional to distance, $V \thicksim \frac{1}{r}$. Coulomb potential decreases with distance.
Inversely proportional to distance, $V \thicksim \frac{1}{r}$. Coulomb potential decreases with distance.
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State the formula for electric potential due to multiple point charges.
State the formula for electric potential due to multiple point charges.
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$V = \frac{k}{r} \times (q_1 + q_2 + ... + q_n)$. Scalar sum of individual charge contributions.
$V = \frac{k}{r} \times (q_1 + q_2 + ... + q_n)$. Scalar sum of individual charge contributions.
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Calculate electric potential difference in a capacitor.
Calculate electric potential difference in a capacitor.
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$\triangle V = \frac{q}{C}$. Voltage across capacitor depends on stored charge.
$\triangle V = \frac{q}{C}$. Voltage across capacitor depends on stored charge.
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Determine the work done by the electric field on a moving charge.
Determine the work done by the electric field on a moving charge.
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$W = -\triangle U$. Work by field equals negative change in potential energy.
$W = -\triangle U$. Work by field equals negative change in potential energy.
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What is the potential at infinity?
What is the potential at infinity?
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$V = 0$. Standard reference point for potential calculations.
$V = 0$. Standard reference point for potential calculations.
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What is the relation between capacitance and electric potential?
What is the relation between capacitance and electric potential?
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$C = \frac{q}{V}$. Capacitance defined as charge per unit voltage.
$C = \frac{q}{V}$. Capacitance defined as charge per unit voltage.
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Which equation relates work, charge, and potential difference?
Which equation relates work, charge, and potential difference?
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$W = q \times \triangle V$. Work equals charge times potential difference.
$W = q \times \triangle V$. Work equals charge times potential difference.
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What is the unit of electric potential?
What is the unit of electric potential?
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Volt (V). Standard SI unit for electric potential difference.
Volt (V). Standard SI unit for electric potential difference.
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State the relationship between electric field and potential gradient.
State the relationship between electric field and potential gradient.
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$E = -\nabla V$. Field points in direction of steepest potential decrease.
$E = -\nabla V$. Field points in direction of steepest potential decrease.
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Identify the formula for potential energy using capacitance.
Identify the formula for potential energy using capacitance.
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$U = \frac{1}{2}C \times V^2$. Energy stored in capacitor using voltage squared.
$U = \frac{1}{2}C \times V^2$. Energy stored in capacitor using voltage squared.
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What is the potential energy of a charge in a uniform electric field?
What is the potential energy of a charge in a uniform electric field?
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$U = q \times E \times d$. Energy equals charge times field strength times displacement.
$U = q \times E \times d$. Energy equals charge times field strength times displacement.
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Define equipotential surface.
Define equipotential surface.
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A surface where the electric potential is constant. All points have identical potential value.
A surface where the electric potential is constant. All points have identical potential value.
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Calculate the potential energy of a charge in a potential field.
Calculate the potential energy of a charge in a potential field.
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$U = q \times V$. Energy of charge placed in existing potential.
$U = q \times V$. Energy of charge placed in existing potential.
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What is the significance of zero electric potential energy?
What is the significance of zero electric potential energy?
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Reference point for potential energy calculations. Arbitrary zero point for energy measurements.
Reference point for potential energy calculations. Arbitrary zero point for energy measurements.
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Identify the relationship between electric potential and electric field.
Identify the relationship between electric potential and electric field.
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$E = -\nabla V$. Electric field is negative gradient of potential.
$E = -\nabla V$. Electric field is negative gradient of potential.
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Describe how electric potential relates to potential energy.
Describe how electric potential relates to potential energy.
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$U = q \times V$. Potential energy equals charge times potential.
$U = q \times V$. Potential energy equals charge times potential.
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What is the potential energy change when moving charge in a field?
What is the potential energy change when moving charge in a field?
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$\triangle U = q \times \triangle V$. Energy change proportional to potential difference.
$\triangle U = q \times \triangle V$. Energy change proportional to potential difference.
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What is the potential energy of a dipole in a uniform electric field?
What is the potential energy of a dipole in a uniform electric field?
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$U = -p \times E \times \text{cos}(\theta)$. Energy depends on dipole orientation in field.
$U = -p \times E \times \text{cos}(\theta)$. Energy depends on dipole orientation in field.
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Define the electric potential energy of a system of charges.
Define the electric potential energy of a system of charges.
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Energy due to the positions of charges in an electric field. Energy from charge positions in electric field.
Energy due to the positions of charges in an electric field. Energy from charge positions in electric field.
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State the formula for electric potential due to a point charge.
State the formula for electric potential due to a point charge.
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$V = \frac{k \times q}{r}$. Potential from a single source charge at distance $r$.
$V = \frac{k \times q}{r}$. Potential from a single source charge at distance $r$.
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Calculate the potential energy of a charge configuration.
Calculate the potential energy of a charge configuration.
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Sum of potential energies of all pairs. Total system energy from all charge interactions.
Sum of potential energies of all pairs. Total system energy from all charge interactions.
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What is the potential difference in a uniform electric field?
What is the potential difference in a uniform electric field?
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$\triangle V = E \times d$. Simple relation for uniform field geometry.
$\triangle V = E \times d$. Simple relation for uniform field geometry.
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What is the electric potential inside a conductor in electrostatic equilibrium?
What is the electric potential inside a conductor in electrostatic equilibrium?
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Constant throughout the conductor. No electric field inside conductor in equilibrium.
Constant throughout the conductor. No electric field inside conductor in equilibrium.
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