Suppose the RC time constant for the combination in Figure 19.37A is 2.4 ms. A s

Question

Suppose the RC time constant for the combination in Figure 19.37A is 2.4 ms. A second capacitor is the nplaced in parallel with the original capacitor as in Figure 19.37B. If these capacitors are identical, what is the new value of the time constant r?

(a) 2.4 ms

(b) 4.8 ms

Suppose the RC time constant for the combination in Figure 19.37A is 2.4 ms. A second capacitor is the nplaced in parallel with the original capacitor as in Figure 19.37B. If these capacitors are identical, what is the new value of the time constant r? (a) 2.4 ms (b) 4.8 ms (c) 1.2 ms

Explanation / Answer

Time constant of an RC circuit = RC

In first circuit, time constant is R*C = 2.4 mS

In second Circuit

Cnew = C1 + C2 (in parallel) = C + C = 2C

Time constant for new circuit = R*Cnew = R*2C = 2*2.4 = 4.8

Hence time constant for new circuit is 4.8 ms

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