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A transformer having efficiency of 90% i...

A transformer having efficiency of `90%` is working on `200 V` and `3 kW` power supply. If the current in the secondary coil is `6A`, the voltage across the secondary coil and current in the primary coil respectively are

A

450V, 13.5A

B

600V, 15A

C

300V, 15A

D

450V, 15A

Text Solution

Verified by Experts

The correct Answer is:
D
Input power `(P_i) = V_(p)i_(p)`
`:. 3 xx 1000 = 200 xx i_(p) :. i_(p) = 15 A`
`:.` The efficiency `eta = (P_o)/(P_i)`
`:. P_(0) = eta xx P_(i) = 9/10 xx 3000 = 2700`
`:. V_(s) = (P_o)/(I_s) = (2700)/6`
`V_(s) = 450 V`
Thus, `V_(s) = 450V and I_(p) = 15A`.
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MARVEL PUBLICATION-ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS -TEST YOUR GRASP - 16
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