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Question

Physics Question on Alternating current

A current of 5A5\,A is flowing at 220V220 \,V in the primary coil of a transformer. If the voltage produced in the secondary coil is 2200V2200\, V and 50%50\% of power is lost, then the current in the secondary will be

A

2.5 A

B

5 A

C

0.25 A

D

0.5 A

Answer

0.25 A

Explanation

Solution

Vp=220V,Vs=2200V,Ip=5A,Is=?V_{p}=220 V , V_{s}=2200 V , I_{p}=5 A , I_{s}=?
Power loss =50%=50 \%
Efficiency of transformer (η)(\eta) is defined as the ratio of output power and input power
ie, η%=Pout Pin ×100=VsIsVpIp×100\eta \%=\frac{P_{\text {out }}}{P_{\text {in }}} \times 100 =\frac{V_{s} I_{s}}{V_{p} I_{p}} \times 100
50=2200×Is220×5×10050 =\frac{2200 \times I_{s}}{220 \times 5} \times 100
Is=0.25AI_{s} =0.25 \,A