The RC circuit of (Figure 1) has R = 7.4 k Ohm and C = 3.0 mu F. The capacitor i

Question

The RC circuit of (Figure 1) has R = 7.4 k Ohm and C = 3.0 mu F. The capacitor is at voltage V_0 at t = 0, when the switch is closed. How long does it take capacitor to discharge to 0.35 % of its initial voltage? Express your answer to two significant figures and include the appropriate units. The RC circuit of has R = 7.4 k Ohm and C = 3.0 mu F. The capacitor is at voltage V_0 at t = 0, when the switch is closed. How long does it take capacitor to discharge to 0.35 % of its initial voltage? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

te decrease of voltage in the discharge of a capacitor in R-C circuit is

v = v0 * e^(-t/Rc)

0.35 * v0 = v0 * e^(-t/(7400*3*10^-6))

t = 23.3 ms

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