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For each quantity listed below, state and explain your reasoning for what happen

ID: 1450406 • Letter: F

Question

For each quantity listed below, state and explain your reasoning for what happens to it when the change described is made independently while the battery is NOT connected. Also, what happens to the electric field detector(reading electric field E in between the plates) when: Charge on each plate is doubled, Plate area is doubled and the plate separation is doubled?

Charge on each plate is doubled Plate Area is doubled Plate separation is doubled Capacitance Plate charge Surface charge density Stored Energy Voltmeter(reading voltage across the capacitor           

Explanation / Answer

when Charge on each plate is doubled:
Capacitance will remain same as it is independent of charge
Plate charge will double
surface charge density = charge / Area will double
Stored energy = 0.5*Q^2/C will become 4 times
voltmeter reading, V = Q/C will double

when plate area is doubles,
Capacitance, C = ebsoleneo*A/d will double
Plate charge will not change
surface charge density = charge / Area will be half
Stored energy = 0.5*Q^2/C will become half
voltmeter reading, V = Q/C will become half

when plate separation is doubled,
Capacitance, C = ebsoleneo*A/d will become half
Plate charge will not change
surface charge density = charge / Area will not change
Stored energy = 0.5*Q^2/C will become double
voltmeter reading, V = Q/C will become double