An experiment uses two identical capacitors, a resistor R, and a 6 V source in an RC circuit. When the capacitors are connected in parallel, the time taken for the voltage across the fully charged combination to fall to one-half of its initial value is 10 s. If the same two capacitors are

Question

An experiment uses two identical capacitors, a resistor R, and a 6 V source in an RC circuit. When the capacitors are connected in parallel, the time taken for the voltage across the fully charged combination to fall to one-half of its initial value is 10 s. If the same two capacitors are connected in series, the time required for the voltage across the fully charged series combination to drop to half of its initial value is:

Accepted Answer

2.5 s. Parallel: C_p = 2C, t = R*2C*ln2 = 10 s -> RC*ln2 = 5 s. Series: C_s = C/2, t = R*(C/2)*ln2 = 2.5 s.

Solution

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