What is the resistance in this circuit? MasteringPhysics: Assignment 2 (Ch.22 -C

Question

What is the resistance in this circuit?

MasteringPhysics: Assignment 2 (Ch.22 -Ch. 24) https://session.masteringphysics.com/myct/itemView?assignmentProblemID-50123939 PHYS 1402 SII 2015 Assignment 2 (Ch.22-Ch.24Problem 24.21 Help | Close Resources « previous 76 of 88 next» Problem 24.21 Part A The rms current in an RC circuit is 0.67 A. The capacitor in this circuit has a capacitance of 13 F and the ac generator has a frequency of 170 Hz and an rms voltage of 90 V What is the resistance in this circuit? Express your answer using two significant figures. Submit My Answers Give Up ovide Feedback Continue

Explanation / Answer

capacitive impedance=1/(2*pi*170*13*10^(-6))=72.0158 ohm

net impedance=rms voltage/rms current=90/0.67=134.3284 ohms

as we know, net impedance of an RC circuit=sqrt(R^2+capacitive impedance^2)

hence

134.3284=sqrt(R^2+72.0158^2)

solving for R, we get R=113.3924 ohms

hence, the value of resistance in the circuit is 113.3924 ohms.

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