a-525-omega-resistor-and-a-295-mathrmmh-inductor-are-connected-in-series-with-an-ac-generator-with-a

Question

A $525-\Omega$ resistor and a $295-\mathrm{mH}$ inductor are connected in series with an ac generator with an rms voltage of 20.0 $\mathrm{V}$ and a frequency
of 60.0 $\mathrm{Hz}$ . What is the rms current in this circuit?

João Gabriel Alencar Caribé · Accepted Answer

the relation between the aromas, voltage and the Aramis current is the following. The IRA man&#x27;s voltage is he goes to the Ari Mass. Current times impudence. And in the situation, the impedance has two contributions. Contribution coming from the resister, which is R squared, and another contribution coming from the doctor, which is two pi frequents times in luck tints squared. Then we can solve this equation for the current to get i r. A mass is equals two. The square root off our square plus to buy f l squared This is all under the voltage the your mess Now we can plug in the values given by the problem to get ah, you&#x27;re a mess is equals two the square root off 5 25 squared Plus to buy times the frequency 60 time thing Look tense 295 merely Henry squared and this is all under the voltage which is equal to 20. And finally this is approximately 0.37 to 6, which can be written as 37.3. I really am Piers

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

the relation between there are mass current and the arguments voltage is the following v Are you mad? Is he goes to why our lives times they look to reactors and now the inductive reactors is equals. Truth to pride. Jeff Times They looked at us then, unless he&#x27;s in close to Why our Unless times two pi times the frequency times, the victims them the current is he close to involved, divided by to pi times the frequency times named Milton, Finally plumbing in the values that we&#x27;re even we have 135 divided by two pi times 60 times 97.5 Really, and it is approximately tree 0.6 to 7 and peers.

João Gabriel Alencar Caribé · Answer

in the first item. We have to evaluate the power factor of the circuit. So we have to evaluate the co sign other fees and the music goes to the resistance divided by BNP. This and in this case, the impudence has two contributions, one coming from the resistance and another one coming from they looked at us. So the feelings is it goes to the square it off squares plus the inductive reactors. Where&#x27;d they looked? Reactant is given by two quiet times the frequency times, the induct ins. No, we can plug in the values given by the problem in this equation and get the power factor. We choose the square root off two times, stand to the turns. There is a kilo there squared plus to pi times 1.55 Again there is a kilo times 292 merely squared. This is old under the resistance reaches two times 10 to return and these things approximately 0.5 seven 52 which we can for the approximate to 0.575 in the next item we have to complete. What is the average power consumers by that stir Great the average power is given by the are a mess voltage times the arguments current times the power factor. Now remember that there is a relation between the aromas voltage on the Aramis current and that relation is the following. The remans voltage is of course, to ari mass current. Multiply it biting Peters, then solving for the R. M s current, we get that the Aramis current is equals two The aromatase voltage divided by eating peanuts. No, the average power is then the remans voltage squared divided by they impede us and multiply it by the power factor and disease equals truth. A square root off the resistance is squared. Plus to buy f l squared under a square root under the aromatics voltage squared times the power factor This is just impedance which we have already calculated here. So we know just have to put in their values given by the problem on the power factor that we have completed before To get the following square root off two times 10 to the third squared plus to five times 1.55 time stand to deterred times 292 times 10 to the minus tree squared This is all under 20 points. Eight squared times the power factor, which is 0.575 and disease approximately 0.715 five, which we can write as 71.6. Really, What?

Luis Mendoza · Answer

So here we have on a sitter. Good would use capacity on the duck tins on nothing serious generator. Given the valley of the capacitance here, also giving the value of staying doctors right here or but told, frequency of the generator built a cultish across the capacitor. So here is doing two volts. Does it also noticing Siri&#x27;s. You can just find a current in the circuit by doing be bolder shippers the capacity or departed about the positive reactions. And then the voltage across the doctor is going to eat this current, which we just replaced with the expression stands inductive records. So Mundy&#x27;s bring out the appropriate expression for hmp. React insists who are left but the voltage perfect capacitor to bypass differences. Square time. See Time&#x27;s L. And it&#x27;s on long quantities in the problem. And it was our fault. It occurs in DR Off 5.95 votes

João Gabriel Alencar Caribé · Answer

we begin the first item by calculating the impudence of the circuit. The Penis is given by the square root off the resistance squared. Plus they took the reactant squared. They looked Reactors is given by to pi times the frequency times in doctors. Then the impudence is he goes to the square it off r squared plus to buy times the frequency times they looked at us squared finally putting the value was given in the problem We get the following value for the impudence Z is he calls to 1.15. Don&#x27;t forget about this kilo here Time stand to the turn squared Plus to buy times 1250 times they&#x27;re five 05 times 10 to the minus street Because there is a feeling here squared And these is approximately four one to mine 0.62 homes And now we can calculate the current that flows from that circuit. Remember, Holmes? Well, we are Romance is a costa Why are a mass times impedance? Therefore I r a mass is equals two busy Ramesses divided by the impedance. From then, we can just plug in the value of impudence. We have just calculated and the value of the voltage. That was even money problem to get 14.2 divided by 4129.62 to get a value off approximately 3.44. Really Mm years on the second item. We want to include a capacitor in Siri&#x27;s lifting brokered such that the new current Hi are a mass is he goes to have off the old current No, don&#x27;t achieve this result. We know that the only thing we have to do if this capacitor is get a new impedance z prime that is he close to two times the old impudence. So we want to double the value off impedance. Then we begin to solve the question and you impudence! Is it close to the square root off r squared? Plus the difference between the react Ince&#x27;s squared? No, we have a capacitor and these must be question to times square it off r squared plus exhale squared then with solve this equation for XY and this is as follows squaring both sides. We have power squared plus XY minus x l squared is equals 24 r squared plus exile squared Dan, move. These are to the other side and we got X l x c minus x l squared He&#x27;s equals True for R squared minus R squared plus four eggs l squared them. That next step is to move these exponents to the other side of the square root and then we got accede mines. Excel is equal to the square it off three R squared plus four eggs Ill squared Damn! We move Excel to the other side XY is equal to the square root off three R squared bliss for that was that was squared plus excel There is an important detail your had music which is the following when they move exponents to the other side and think this square it We have to consider both values So plus or minus the square root then exceed musicals to plus or minus to the square root plus excel Now we can plug in the values that were given by the problem So we got XY easy cause too excel how much he&#x27;s excel You&#x27;re a tease This expression to pipe times the frequency times they booked us time Stand to the ministry because there is Emilie in look tense plus or minus the square root off tree times The resistance is 1.15 kilo warms so there is a 10 to the turn here squared plus four times again eggs ill which is to pie times 1 to 50 times 55 Thanks. 10 to the minus three squared. Finally, we get the following results. For the capacity of reactions, it will be equals. True, 12 063 point servant 85 or my news for 131 point to six free. Well, the reactor&#x27;s can&#x27;t negative. So we just throw the solution or wait, then these is capacity. Reactor&#x27;s off the new capacity we have two, including the circuit. But then this is not the whole story. We have now to remember that capacity reactant is equals two word divided by two pipe the frequency times the capacitance. So Indians for the capacitance we get that past tense. Is it close to one? Divided by two pi times the frequency times the reactors Damn, we get that the capacitance is ICO stoop to pi times 1 to 5 old times ones is true. 063 0.785 under one and finally leaving approximately 10 0.5 Nano fire. It&#x27;s

Problem

The rms current in an $R L$ circuit is 0.26 A whe…

Problem 35 Easy Difficulty

A $525-\Omega$ resistor and a $295-\mathrm{mH}$ inductor are connected in series with an ac generator with an rms voltage of 20.0 $\mathrm{V}$ and a frequency
of 60.0 $\mathrm{Hz}$ . What is the rms current in this circuit?

Answer

$= 37.3 \mathrm{mA}$

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$= 37.3 \mathrm{mA}$

Physics

Marshall S.

Farnaz M.

Zachary M.

Meghan M.

Electric Charge

The Electric Force

James S. WalkerPhysics

Marshall S.

Farnaz M.

Zachary M.

Meghan M.

James S. Walker

Physics