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A cassette recorder uses a plug-in transformer to convert 120 V to 12.0 V, with a maximum current output of 200 mA. (a) What is the current input? (b) What is the power input? (c) Is this amount of power reasonable for a small appliance?

240 $\mathrm{w}$

01:43

Averell H.

05:25

Mohammad A.

Physics 102 Electricity and Magnetism

Chapter 23

Electromagnetic Induction, AC Circuits, and Electrical Technologies

Electromagnetic Induction

Cornell University

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University of Sheffield

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Hi. In the given problem, the cassette recorder is using the transformer which is converting 120 world to just 12 volt. So the voltage fed across its primary is 120 volt and voltage obtained across its secondary coil is 12 0.0 volt with a maximum current output off 200 million. Empire means we know the current EC, Rozelle's second recoil which has given us 200 Milly M. Pierre. So in the first part of the problem, we have to find the current input means I p we know in a transformer the current depends inversely on the voltage. So the ratio off current across primary to secondary is equal to Is the inverse off the ratio off the voltage across primary to the secondary. So I p by i s is actually is equal to we s by v p i t v i i e s equals TVs by VP. Hence the expression for i p will become I s into ves by BP. So plugging in the known values for I s This is 200 milli ampere Now for years. This is 12.0 world for weepy This is 120 world canceling this week here, the I p current in the primary coil here will come out to be 21 0 milli ampere. And here it becomes the answer for the first part of the problem. No. In the second part of the problem, we have to find the power input. So input power means P. I can say it will be given by the product off input voltage to the input Current input Voltage means current fed to the primary and input current means current passing through that primary coil. So this is weepy into i p for VP, this is 120 wold for I P This is 20 really ampere we just found in the first part. Or we can say this is 20 by 1000. I am Pierre So canceling this finally we get the means input power to be equal to 2.4 What? Because these two zeros are canceled by these two zeros. So this is 12 to 24 24 divided by 10 will give us 2.4 and here it becomes the answer for the second part off the problem no. In the third part of the problem, we have to discuss whether this amount off power reasonable for a small appliance. So we say, Yes, it is reasonable. This power is reasonable for the small electric appliances, as it is a very less power. This is not much large. Two point for what? And here it becomes the answer for the third and last part off the problem. Thank you.

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