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?


Expert's answer

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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