An ac circuit consists of a series combination of circuit elements X and Y The current is ahead of - Physics - Alternating Current

Question

An ac circuit consists of a series combination of circuit elements
X and Y The current is ahead of the voltage by phase pi/4 If the
element X is a pure resistor of 100 Ohm, (i) identify the circuit
element Y and (ii) calculate the rms current if rms voltage is 141
V

Jegannathan Anandaraman · Answer

Hello Ankit Vijay dear, as current is ahead then the circuit is
capacitive Hence element Y has to be a
capacitor
Impedance Z = ​√R^2 + Xc^2
R = 100 Ω
Xc / R = tan pi/4
==> Xc = R = 100 Ω
Z = 100 √2 Ω
Therefore I rms = Erms / Z = (141 / 100√2) A = 0 9987 A =
1 A nearly

An ac circuit consists of a series combination of circuit elements X and Y. The current is ahead of the voltage by phase pi/4. If the element X is a pure resistor of 100 Ohm, (i) identify the circuit element Y and (ii) calculate the rms current if rms voltage is 141 V.