Question #208087

A transformer with a primary of 400 turns is connected across a 120v a-c line. the secondary circuit has a potential difference of 300v. the secondary 0.06a and the primary current is 1.85a. how many turns are in the secondary winding? b). what is the transformer efficiency?


1
Expert's answer
2021-06-17T15:29:16-0400

Gives

N1=400N_1=400

N2=?N_2=?

V1=120VV_1=120V

V2=300V_2=300

I1=0.06AI_1=0.06A

I2=1.85AI_2=1.85A

P1=I1V1P_1=I_1V_1

P2=V2I2P_2=V_2I_2

We know that


Potential proportional to number of turns

V2V1=N2N1\frac{V_2}{V_1}=\frac{N_2}{N_1}

N2=V2V1×N1N_2=\frac{V_2}{V_1}\times N_1

Put value

N2=300120×400=1000N_2=\frac{300}{120}\times400=1000

P1=120×0.06=7.2WP_1=120\times0.06=7.2W

P2=300×1.85=555WP_2={300}\times1.85=555W

efficiency=P2P1=5557.2=77.08\frac{P_2}{P_1}=\frac{555}{7.2}=77.08



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