Starting from the expression

PHYSICS · Subjective · CBSE · Physics · Alternating Current · Alternating Current

Problem

Starting from the expression Z=R2+(XL−XC)2Z = \sqrt{R^{2}+(X_L-X_C)^{2}}, where XL=ωLX_L = \omega L and XC=1/(ωC)X_C = 1/(\omega C), show that the rms current in a series LCR circuit attains its maximum value when XL=XCX_L = X_C.

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