Redistribution of Charge Between Conductors - AP Physics C: Electricity and Magnetism
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What is the effect of connecting two conductors of different sizes?
What is the effect of connecting two conductors of different sizes?
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Charge redistributes to equalize surface potential. Larger conductor gets more charge but same final potential.
Charge redistributes to equalize surface potential. Larger conductor gets more charge but same final potential.
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What is the formula for capacitance?
What is the formula for capacitance?
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$C = \frac{Q}{V}$. Ratio of stored charge to potential difference.
$C = \frac{Q}{V}$. Ratio of stored charge to potential difference.
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Identify the principle that explains why charge resides on the surface of conductors.
Identify the principle that explains why charge resides on the surface of conductors.
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Electrostatic repulsion. Like charges repel, forcing charges to conductor surface.
Electrostatic repulsion. Like charges repel, forcing charges to conductor surface.
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Define insulator.
Define insulator.
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Material that resists the flow of electric charge. Bound electrons prevent free charge movement through material.
Material that resists the flow of electric charge. Bound electrons prevent free charge movement through material.
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How does charge transfer affect potential energy?
How does charge transfer affect potential energy?
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Redistribution lowers potential energy. System moves toward minimum energy configuration naturally.
Redistribution lowers potential energy. System moves toward minimum energy configuration naturally.
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What happens when two conductors touch?
What happens when two conductors touch?
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Charge redistributes to equalize potential. Charge flows until both conductors reach the same potential.
Charge redistributes to equalize potential. Charge flows until both conductors reach the same potential.
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Define conductor.
Define conductor.
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Material with free electrons that allow charge flow. Electrons move freely, allowing redistribution of charge.
Material with free electrons that allow charge flow. Electrons move freely, allowing redistribution of charge.
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State Coulomb's Law formula.
State Coulomb's Law formula.
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$F = k \frac{|q_1 q_2|}{r^2}$. Force is proportional to product of charges, inversely proportional to distance squared.
$F = k \frac{|q_1 q_2|}{r^2}$. Force is proportional to product of charges, inversely proportional to distance squared.
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What is the principle of charge conservation?
What is the principle of charge conservation?
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Total charge in an isolated system is constant. Charge can neither be created nor destroyed in isolation.
Total charge in an isolated system is constant. Charge can neither be created nor destroyed in isolation.
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What happens when two conductors touch?
What happens when two conductors touch?
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Charge redistributes to equalize potential. Charge flows until both conductors reach the same potential.
Charge redistributes to equalize potential. Charge flows until both conductors reach the same potential.
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Define electric potential.
Define electric potential.
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Work done per unit charge to move a charge from infinity. Energy per unit charge required to bring charge from infinite distance.
Work done per unit charge to move a charge from infinity. Energy per unit charge required to bring charge from infinite distance.
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What is electric field inside a conductor in electrostatic equilibrium?
What is electric field inside a conductor in electrostatic equilibrium?
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Zero. Free electrons rearrange to cancel any internal field.
Zero. Free electrons rearrange to cancel any internal field.
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Identify the effect of electrostatic shielding.
Identify the effect of electrostatic shielding.
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Prevents external electric fields from affecting the interior. Conductor surface blocks field penetration into protected region.
Prevents external electric fields from affecting the interior. Conductor surface blocks field penetration into protected region.
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Define insulator.
Define insulator.
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Material that resists the flow of electric charge. Bound electrons prevent free charge movement through material.
Material that resists the flow of electric charge. Bound electrons prevent free charge movement through material.
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Identify the principle that explains why charge resides on the surface of conductors.
Identify the principle that explains why charge resides on the surface of conductors.
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Electrostatic repulsion. Like charges repel, forcing charges to conductor surface.
Electrostatic repulsion. Like charges repel, forcing charges to conductor surface.
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What is the effect of connecting two conductors of different sizes?
What is the effect of connecting two conductors of different sizes?
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Charge redistributes to equalize surface potential. Larger conductor gets more charge but same final potential.
Charge redistributes to equalize surface potential. Larger conductor gets more charge but same final potential.
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How does charge transfer affect potential energy?
How does charge transfer affect potential energy?
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Redistribution lowers potential energy. System moves toward minimum energy configuration naturally.
Redistribution lowers potential energy. System moves toward minimum energy configuration naturally.
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State the relationship between charge and electric field direction.
State the relationship between charge and electric field direction.
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Electric field points from positive to negative charge. Field lines originate on positive charges and terminate on negative.
Electric field points from positive to negative charge. Field lines originate on positive charges and terminate on negative.
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What happens to charge on a conductor in electrostatic equilibrium?
What happens to charge on a conductor in electrostatic equilibrium?
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Charge resides on the surface. Internal charges would create fields, violating electrostatic equilibrium.
Charge resides on the surface. Internal charges would create fields, violating electrostatic equilibrium.
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Describe the charge distribution on a hollow conductor.
Describe the charge distribution on a hollow conductor.
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Charge resides only on the outer surface. Interior charge would create internal field, violating equilibrium.
Charge resides only on the outer surface. Interior charge would create internal field, violating equilibrium.
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What is electrostatic induction?
What is electrostatic induction?
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Redistribution of charge in a conductor by nearby charge. External charge causes charge separation without direct contact.
Redistribution of charge in a conductor by nearby charge. External charge causes charge separation without direct contact.
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How do charges distribute on irregularly shaped conductors?
How do charges distribute on irregularly shaped conductors?
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Concentrated at points of smallest radius curvature. Higher curvature creates stronger local electric fields.
Concentrated at points of smallest radius curvature. Higher curvature creates stronger local electric fields.
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Identify the effect of bringing a charged object near a conductor.
Identify the effect of bringing a charged object near a conductor.
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Induces opposite charge on the nearest surface. Polarization occurs through electrostatic attraction and repulsion.
Induces opposite charge on the nearest surface. Polarization occurs through electrostatic attraction and repulsion.
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What does Gauss's Law relate to?
What does Gauss's Law relate to?
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Electric flux through a closed surface to charge enclosed. Fundamental relationship between electric field and charge distribution.
Electric flux through a closed surface to charge enclosed. Fundamental relationship between electric field and charge distribution.
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State Coulomb's Law formula.
State Coulomb's Law formula.
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$F = k \frac{|q_1 q_2|}{r^2}$. Force is proportional to product of charges, inversely proportional to distance squared.
$F = k \frac{|q_1 q_2|}{r^2}$. Force is proportional to product of charges, inversely proportional to distance squared.
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Calculate the total charge after connecting conductors with $Q_1 = 3\text{C}$ and $Q_2 = -1\text{C}$.
Calculate the total charge after connecting conductors with $Q_1 = 3\text{C}$ and $Q_2 = -1\text{C}$.
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Total charge is $2\text{C}$. Charge conservation: total equals sum of initial charges.
Total charge is $2\text{C}$. Charge conservation: total equals sum of initial charges.
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What is electric field inside a conductor in electrostatic equilibrium?
What is electric field inside a conductor in electrostatic equilibrium?
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Zero. Free electrons rearrange to cancel any internal field.
Zero. Free electrons rearrange to cancel any internal field.
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What is the electric potential inside a conductor?
What is the electric potential inside a conductor?
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Constant. No potential difference exists between any two internal points.
Constant. No potential difference exists between any two internal points.
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Identify the effect of grounding a conductor.
Identify the effect of grounding a conductor.
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Excess charge is transferred to or from Earth. Conductor reaches zero potential by charge exchange with Earth.
Excess charge is transferred to or from Earth. Conductor reaches zero potential by charge exchange with Earth.
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What is the electric field just outside a charged conductor's surface?
What is the electric field just outside a charged conductor's surface?
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Perpendicular to the surface. Tangential field components would cause charge motion.
Perpendicular to the surface. Tangential field components would cause charge motion.
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