A series RC circuit has a time constant of0.950 s. The battery has an emf of45.0

Question

A series RC circuit has a time constant of0.950 s. The battery has an emf of45.0 V, and the maximum current in thecircuit is 490 mA.
(a) What is the value of the capacitance?
F
(b) What is the charge stored in the capacitor1.92 s after the switch is closed?
C A series RC circuit has a time constant of0.950 s. The battery has an emf of45.0 V, and the maximum current in thecircuit is 490 mA.
(a) What is the value of the capacitance?
F
(b) What is the charge stored in the capacitor1.92 s after the switch is closed?
C

Explanation / Answer

time constant T = RC = 0.95 s emf E = 45 V Maximum curerent   I = 0.49 A (a). Resistance R = E / I = 91.83 ohm we know RC = 0.95 So, capaciatnce C = 0.95 / R = 0.010344 F (b). time t= 1.92 s charge after time t is q = Q [ 1- e -t / T]                                   = CE [ 1- e -1.92 /0.95 ]                                   = 0.46548 [ 1- 0.1325 ]                                   = 0.4037 C

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