A 28 nF capacitor is in series with a 1.65 M resistor. The capacitor is initiall

Question

A 28 nF capacitor is in series with a 1.65 M resistor. The capacitor is initially uncharged when the series combination is connected across a 18.0 V battery. Part A What's the maximum charge the capacitor will eventually attain? Express your answer to two significant figures and include the appropriate units. qmax = 5.0×107 C is correct! Part B How much time does it take for the capacitor to reach 91 % of that maximum charge? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

a) The maximum charge the capacitor gain i,e q = CV

                                                                        = (28*10-9F)*(18)

                                                                         = 504*10-9 c = 504 nc

b) Q = Qmax(1 - e-t/RC)

0.91 = 1 - e-t/RC

e-t/RC = 0.09

-t/RC = ln(0.09)

-t/RC= -2.408

t = (1.65*106 * 28*10-9)*(2.408)

t = 0.111 s

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