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A generator connected to an RLC circuit has an rms voltage of150 $\mathrm{V}$ and an rms current of 39 $\mathrm{mA}$ . If the resistance in the circuitis 3.3 $\mathrm{k} \Omega$ and the capacitive reactance is $6.6 \mathrm{k} \Omega,$ what is the inductive reactance of the circuit?

8.60 $\mathrm{k} \Omega$

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 some of this question, we have to remember two things. One is the relation between the Aramis Voltage on the R. M s current. Which of these wines and the 2nd 1 is how to calculate impedance, which is known in the following way. Then we have to do the following. So we have both the voltage on the current. Then we concoct anything Peters Pete does. Is he close to default ish, provided by the current and using their value is giving you the problem. We get that impedance is equals to 150 divided by 39 times 10 to the minus treat. Then we can plug in these value these equations to get 150 divided by 39 times 10 to the minus three. His equals to the square root off. No lugging these value for the resistance here. 3.3 times Stand to the turn squared plus excel which we don't know miners exceed reach wasn't even 6.6 times 10 deterred square. And then we just have to solve this equation for excel. Then we do it as follows. So squaring both sides. We got 3.3 time stand to the turn squared plus Excel Mind 6.6 times 10 to the third squared equals to 150 divided by 39 times, 10 to the minus tree squared. Then we move these terms to the other side to get Excel minus 6.6 times. Tend to deterred. Squared being Equals two, 150 divided by 39 times, 10 to the minus. Street squared miners 3.3 times 10 to the third. It's queer. No, we can take the square root off both sides. So taking the square root, we get eggs. L minus 6.6 times 10 to occurred being you close to plus or minus the square root off 150 divided by 39 times, 10 to the minus. Street squared minus 3.3 Time stent littered squared. And finally we move these terms with the other side to get excel. Is it close to 6.6 time? Stand to deterred flows or miles. The square root off. 150 divided by 39 times 10 to the minus. Tree squared minus 3.3 times 10 to the third squared and disease approximately 8.6. The won's or 4.6 warms. Both solutions are good.

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