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A 100 μF capacitor is in series with a 40Ω  resistor and is connected to a 100 V, 50 Hz AC source. Calculate the following 

(a) Maximum current in the circuit. 

(b) Time lag between current maximum and voltage maximum.

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Given , Vrms = 100 V , C = 100F = 100 x 106 F , R = 40 Ω

Total impedance of the circuit

(b) For pure capacitor, phase difference ϕ = p/2

Time difference = T/2Phase difference 

Time lag between current maximum and voltage maximum = 1/200s.

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