Physics

Problem

A resistor of

40\,\Omega

is connected in series with an unknown inductor

L

and an unknown capacitor

C

. The circuit is supplied with 100 V (r.m.s.). At a frequency of 50 Hz the current leads the supply voltage by

45^{\circ}

, while at 200 Hz the current lags behind the supply voltage by

45^{\circ}

. a. (i) For each of the two frequencies write the mathematical condition relating the net reactance to the resistance. b. (ii) Using the two conditions, solve for the numerical values of

L

and

C

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