Using same diagram, Switch S is closed at time t = 0, to begin charging aninitially uncharged capacitor of capacitance C = 15.0 µF through a resistor of resistance R = 15.0 . At what time is theelectric potential across the capacitor equal is that across theresistor? t= ms Using same diagram, Switch S is closed at time t = 0, to begin charging aninitially uncharged capacitor of capacitance C = 15.0 µF through a resistor of resistance R = 15.0 . At what time is theelectric potential across the capacitor equal is that across theresistor? t= ms t= ms
Explanation / Answer
Let t be the required time Potential difference across C = Potentialdifference across R V cap =Vres q / C = i R = V C ( 1 - e -t / RC) / C = V / R* e-t /RC * R e-t /RC = ( 1 - e -t / RC) e-t/RC = 1 /2 e t / RC = 2 t = R C ln 2 = 15.0 * 15.0F ln 2 = 0.067 m s