A transformer is to be used to provide power for a computer disk drive that needs 6.0 V (rms) instead of the 120 V (rms) from the wall outlet. The number of turns in the primary is 400, and it delivers 500 mA (the secondary current) at an output voltage of 6.0 V (rms). Find the number of turns in the secondary.

Respuesta :

Answer:

[tex]N_{2}[/tex]=20 turns

Explanation:

The given case is a step down transformer as we need to reduce 120 V to 6 V.

number of turns on primary coil N_{P}= 400

current delivered by  secondary coil  I_{S}= 500 mA

output voltage = 6 V (rms)

we know that

[tex]I_{p}=\frac{V_{out}}{V_{in}\times I_{s}}[/tex]

putting values we get

[tex]I_{p}=\frac{6}{120\times 0.5}[/tex]

[tex]I_{p}= 0.1 A[/tex]

to calculate number of turns in secondary

[tex]\frac{N_{2}}{400} =\frac{6}{120}[/tex]

therefore, [tex]N_{2}[/tex]=20 turns

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