Two Identical Circuits Have a Capacitor in Series with a Resistor

question 24

Multiple Choice

Two identical circuits have a capacitor in series with a resistor and a switch. In circuit A, the resistor has resistance R, while in circuit B, its resistance is 4R. The capacitors are identical. Each capacitor begins fully charged, and each circuit is open. When each circuit is completed (i.e., the switch in them is closed) , the capacitor will begin to discharge. If a time t is required for circuit A's capacitor to fully discharge (say, by 99%) , what time will be required for circuit B's capacitor to do the same?

• A) 4t
• B) 2t
• C) t
• D) 0.5t
• E) 0.25t

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