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SAT® Subject Test in Physics

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Moderate

Time to Charge Capacitor

SATPHY-R141QC

The circuit below shows a resistor, $R$, an initially uncharged capacitor, $C$, and a battery with a voltage $V$.

The following tables give the resistance, capacitance, and voltage values for the resistor, capacitor, and battery respectively.

Which of the following tables describes the set of values for the circuit in which the capacitor will take the longest time to charge?

A
Capacitance Voltage Resistance
100 mF 3.0 V 25, 000 $\Omega$
B
Capacitance Voltage Resistance
100 mF 1.0 V 50, 000 $\Omega$
C
Capacitance Voltage Resistance
10 mF 2.0 V 250, 000 $\Omega$
D
Capacitance Voltage Resistance
100 mF 10.0 V 10, 000 $\Omega$
E
Capacitance Voltage Resistance
100 mF 4.0 V 25, 000 $\Omega$