The capacitor in an RC circuit(R = 110 , C = 50 F)is initially uncharged. a)Find the charge on the capacitor in the circuit one timeconstant (=RC) after the circuit is connected to a 9.0-Vbattery. b)Find the current in the circuit one timeconstant (=RC) after the circuit is connected to a 9.0-Vbattery. The capacitor in an RC circuit(R = 110 , C = 50 F)is initially uncharged. a)Find the charge on the capacitor in the circuit one timeconstant (=RC) after the circuit is connected to a 9.0-Vbattery. b)Find the current in the circuit one timeconstant (=RC) after the circuit is connected to a 9.0-Vbattery.
Explanation / Answer
R = 110 ohm C = 50 * 10 ^ -6 F (a). In CR circuit charge after time t is q = Q [1- e -t / RC ] time constant = RC time t = time constant = RC plug it we get q = Q [ 1- e -1 ] = 0.632 Q = 0.632 CV = 0.632 * 50 * 10 ^ -6 * 9 = 284.45 * 10 ^ -6 C (b). Current i = I e -t /RC = I e -1 Since t = RC = I / e = ( V / R ) / e =( 9 / 110 ) / 2.718 = 0.0301 A