when-an-ac-generator-with-a-frequency-of-180-mathrmhz-and-an-rms-voltage-of-36-mathrmv-is-connected-

Question

When an ac generator with a frequency of 180 $\mathrm{Hz}$ and an rms
voltage of 36 $\mathrm{V}$ is connected to an $R C$ circuit, the rms current is
0.28 $\mathrm{A}$ . If the resistance has a value of $54 \Omega,$ what is the value of
the capacitance?

João Gabriel Alencar Caribé · Accepted Answer

we begin this question by calculating the impudence off the circuit so we can couple of impudence by using and adapted for off homes low. Which is the r a mass is he goes to Why we mass times p this so I didn&#x27;t do this. These equals two V hurry mass divided by I are a mess which using the information given in the problem. Zico Stoop 36 divided by 0.28. And now we remember that the students is given by the square root off the resistance squared plus and the reactor squared where the reactant is given by one divided by two pie factory frequency times the capacitors squared so we can solve for the capacitance To get Z squared, he&#x27;s equals towards squared Plus to buy FC under one squared. No, we have one Divided by two pi embassy is equal to the square. Root off these words. Minds are squared Then to buy F seat is equals to one divided by the square root off Z squared minus R squared And finally the capacitance is given by to pi times the frequency times the square it off the squared minds are squared this is all under one and now blinking all the values even by the problem on our impudence, we get that the capacitance is the question to pie times 180 times the square root off 36 divided by 0.28 squared, minus 54 squired. This is all in the war, then, is approximately 7.6 times 10 to the minus six for us and 10 for the minor. Six was on my crew then the capacitance is approximately 7.6 me crow forest.

João Gabriel Alencar Caribé · Answer

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&#x27;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&#x27;ll get that the resistance is approximately 103.6 to serve them homes.

Keshav Singh · Answer

for this problem on the topic off alternating current circuits were given the RMS current in an R L C circuit at resonance were also given the RMS voltage off the generator and I asked to Cal calculate the resistance are now. We know at residence we have the react Ince&#x27;s Excel is equal to the accidents exceed. So the reactions off the doctors equals the reactions off the capacitor On this, in turn, means that the impedance said is simply equal to the resistance are so therefore we can calculate this resistance are using the equation Are executives said Is he going to the R. M s divided by I. R M s, both of which are given, and this is 120 volts The RMS voltage divided by the army&#x27;s current or 5 28 and peers, which gives the resistance in the second to be 21 homes

Salamat Ali · Answer

for a human problem. In order to find a C congestions, we used the courage in areas I see is a call to omega Time to be see time&#x27;s capacitance. So capacitance is a cool Teoh. I see divide by omega. We see the next up we substituted values and often substitution. We get, uh, the capacitance to be 0.0 81 the instant to the parlor minus seven. Fare out.

João Gabriel Alencar Caribé · Answer

to solve this question. We begin by using the following equation V. Our romance is he goes through i every mass times z where the is the evidence off the circuit. This is a version off homes role that is valued for arson circuits and engaged have forgot impedance off the circuit is given by the square root off R squared plus exceeds squared. These is the resistance on disease. The reactors the reactor&#x27;s is given by one divided by true pi times the frequency times the capacitance. So putting it all together and solving for the current we get I Every mass is. He calls, too. Our romance divided by the square root off R squared plus to pie see under one squared, no plugging their values given by the problem. We got square root off 10 times. Stand to the third because there is a kilo of warm there and I&#x27;ll do the squared plus to pie piously frequency 125. Hundreds times the capacitance 0.25 me crow fired soldiers attending the minor six. Here we didn&#x27;t have one. I already squared is all under the voltage, which is 42.5. No solving that calculation. We got zero point 00 30 seven nine approximately, and we can write it as tree 0.79 Really, m peers.

João Gabriel Alencar Caribé · Answer

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&#x27;t know miners exceed reach wasn&#x27;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&#x27;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&#x27;s or 4.6 warms. Both solutions are good.

Problem

A 50.0-Hz generator with an rms voltage of 115 V …

Problem 23 Easy Difficulty

When an ac generator with a frequency of 180 $\mathrm{Hz}$ and an rms
voltage of 36 $\mathrm{V}$ is connected to an $R C$ circuit, the rms current is
0.28 $\mathrm{A}$ . If the resistance has a value of $54 \Omega,$ what is the value of
the capacitance?

Answer

7.6$\mu \mathrm{F}$

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7.6$\mu \mathrm{F}$

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Physics