Two parallel plate capacitors with different capacitance but the same plate sepa

Question

Two parallel plate capacitors with different capacitance but the same plate separation are connected in series to a battery. Both capacitors are filled with air. The quantity that is the same for both capacitors when they are fully charged is: A) the potential difference across their plates B) the energy stored in each capacitor C) the energy density between the plates of the capacitors D) the electric field between the plates of the capacitors E) the charge on their positive plates Two parallel plate capacitors with different plate separation but the same capacitance are connected in series to a battery. Both capacitors are filled with air. The quantity that is NOT the same for both capacitors when they are fully charged is: A) the potential difference across their plates B) the energy stored in each capacitor C) the energy density between the plates of the capacitors D) the electric field between the plates of the capacitors E) the charge on their positive plates An unknown resistor dissipates 0.5 w when connected across a 3.0 v power supply (3.0 v potential difference). When connected across a 1.0 v power supply (1.0 v potential difference), this same resistor will dissipate: A) 0.5 W B) 0.167 W C) 1.5 W D) 0.056 W Suppose you have a series RC circuit. The resistance of the resistor is R and the capacitance of the capacitor is C. Suppose you put a second resistor with the same resistance R in parallel with the original resistor, and a second capacitor with the same capacitance C in parallel with the original capacitor. The new time constant of the circuit will be A) 1/4 of the original time constant B) 1/2 of the original time constant C) the same as the original time constant D) 2 times the original time constant E) 4 times the original time constant

Explanation / Answer

13) Answer E: charge on the positive plates

Solution: Capacitors in series have the same charge ---charge on each capacitor is same for any value of capacitance and equal to the charge across the combination .

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