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Question: A transformer is used to light 140 *watt*, 24 *volt* lamp from 240 *volts* ac mains. If the current ...

A transformer is used to light 140 watt, 24 volt lamp from 240 volts ac mains. If the current in the mains is 0.7 A,

then the efficiency of transformer is

A

63.8%

B

84%

C

83.3%

D

48%

Answer

83.3%

Explanation

Solution

Pout=Vsis=140W,Vs=24V,Vp=240V,ip=0.7Aη=PoutPin×100=PoutVpip×100=140240×0.7×100=83.3%.P_{out} = V_{s}i_{s} = 140W,V_{s} = 24V,V_{p} = 240V,i_{p} = 0.7A\eta = \frac{P_{out}}{P_{in}} \times 100 = \frac{P_{out}}{V_{p}i_{p}} \times 100 = \frac{140}{240 \times 0.7} \times 100 = 83.3\%.