An RC circuit with resistance R=3.29 M and capacitance C=0.34 F is initially cha

Question

An RC circuit with resistance R=3.29 M and capacitance C=0.34 F is initially charged to V= 82 V. A switch was closed at t=0 sec and the capacitor started to discharge. What is the voltage accross the capacitor at t=2.73 sec? Express the answer to two decimal places.

please use these numbers and show a step by step process

An RC circuit with resistance R 3.29 M2 and capacitance C-0.34 HF is initially charged to V- 82 V A switch was closed at t 0 sec and the capacitor started to discharge. What is the voltage accross the capacitor at t-2.73 Express the answer to two decimal places.

Explanation / Answer

formula for time constant of RC circuit is

T = RC = 3.28 * 10^6 ( 0.34 * 10^-6)=1.1152 s

formula for voltage across capacitor in RC circuit after time t is ,

V = Vo e^-t/T

= 82V * e^-2.73/1.152 s

=7.7 V

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