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The rms current in an $R C$ circuit is 0.72 A. The capacitor in thiscircuit has a capacitance of 13$\mu F$ and the ac generator has a fre-quency of 150 $\mathrm{Hz}$ and an $\mathrm{rms}$ voltage of 95 $\mathrm{V}$ . What is the resis-tance in this circuit?

$R=103.67 \Omega$

Physics 102 Electricity and Magnetism

Chapter 24

Alternating-Current Circuits

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Electromagnetic Induction

Alternating Current

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to complete the resistance in the circuit. We begin by calculating the impedance off the circuit so we can complete the impudence by using the adopted version off as well. So v are a mess. He's equals two. Why are a mass times the impudence? So thank you. This is equals two V. All right. Mass divided by right. I remember plugging the value is given by their problem, these one in these one we got 95 divided by 0.722 And now we remember that impedance is given by the square root off the resistance squared plus the reactant squared. The reactant is one divided by two pi times the frequency times they could pass down squared. Then from these equation we get, that is this word is equals two R squared plus to buy See under one squared. Now we can solve for the resistance to get our is equal to the square. Root off these weird minus to buy F C under one squared, then plugging the value we have calculated for the peters and the order values given by the problem, we get that the resistance is equals to the square root off 95 divided by 0.72 squared miners to PI times 150 times 13 meat group. All right, and this is all under one and squared. Finally, By solving the equation, we'll get that the resistance is approximately 103.6 to serve them homes.

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