Mastering Physics - Electromagnetics I HAVE ATTATCHED AN IMAGE OF HOW THE SOLUTI

Question

Mastering Physics - Electromagnetics

I HAVE ATTATCHED AN IMAGE OF HOW THE SOLUTION IS SOLVED WITH DIFFERENT INPUT VALUES. I AM TOO BUSY TO SOLVE THIS FOR MYSELF SO I WILL LEAVE YOU TO USE THE IMAGE AS A TEMPLATE TO CORRECTLY SOLVE FOR THIS SAME PROBLEM BUT WITH DIFFERENT VALUES. THANKS. *THE ASSIGNED QUESTION IS BELOW THIS IMAGE.

NOW HERE IS THE SAME QUESTION BUT WITH DIFFERENT VALUES

A 24mH inductor with 1.7? resistance is connected in series to a 24?F capacitor and a 57Hz , 15V(rms) source

1.) Calculate the rms current.

The current is found from the voltage and impedance. The impedance is given by

Explanation / Answer

Impedence of RLC circuit is given by Z^2 = R^2 + (XL-Xc)^2
Where XL = WL = 2pifL = 2*3.14* 57* 0.024 = 8.591 ohms
Xc= 1/wC = 1/2pifC = 1/(2*3.14* 57* 0.024*10^-3) = 116.4 ohms

so impoedence Z^2 = 1.7^2 + (116.4-8.591)^2

Z = 107.822 ohms

A. Current I = V/Z   = 15/107.822 = 0.139 Amps

B. phase angle tan theta   = XL-XC/R

tan theta = -(116.4-8.591/1.7 = 63.41

theta = phase = - 89.09 deg

C. power Avg   = I^2R

= 0.139 *0.139 * 1.7

= 0.0328 Watts

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