Question

(a) What is the voltage output of a transformer used for rechargeable flashlight batteries, if its primary has 500 turns, its secondary 4 turns, and the input voltage is 120 V? (b) What input current is required to produce a 4.00 A output? (c) What is the power input?

Final Answer

- $0.960 \textrm{ V}$
- $0.0320 \textrm{ A}$
- $3.84 \textrm{ W}$

### Solution video

# OpenStax College Physics for AP® Courses, Chapter 23, Problem 47 (Problems & Exercises)

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Video Transcript

This is College Physics Answers with Shaun Dychko. A transformer is being plugged into a wall outlet at 120 volts and the number of turns in the primary is 500 and the number of turns in the secondary is four. So the question is what voltage will that be in the secondary. Now since this is a chance for me being used to charge flashlight batteries we're expecting the secondary voltage to be very small because batteries are only one and a half volts. So we have voltage in the secondary divided by voltage in the primary equals the number of turns in the secondary divided by number of turns in the primary. This is the transformer equation and we’ll solve this for

*Vs*by multiplying both sides by*Vp*. And so the voltage in the he secondary will be that of the primary times the secondary turns divided by primary turns. So it’s 120 volts times four divided by 500 which gives 0.960 volts. Now as for the currents, current in the primary divided by the current in the secondary equals the number of turns in the secondary divided by the number of turns in the primary. And so we’ll multiply both sides by*Is*to solve for*Ip*and so we end up with four amps because that's what we're told is the current in the secondary. So that's the current in the output. And that's multiplied by four turns in the secondary divided by 500 turns in the primary which is 0.032 amps. The power input is the current in the primary times voltage in the primary. So that's 0.032 amps times 120 volts which is 3.84 watts.