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Question

Three resistors 2Ω,4Ω and 5Ω are combined in parallel. This combination is connected to a battery of emf 20V and negligible internal resistance. The total current drawn from the battery is?

A
10A
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B
15A
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C
19A
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D
23A
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Solution

The correct option is B 19A
Since the three resistances are connected in parallel to each other, the net resistance can be obtained as:
1Rnet=1R1+1R2+1R3

1Rnet=12+14+15
Rnet=2×4×52×4+4×5+5×2=2×4×58+20+10=2×4×538=2019

So, the current drawn from the battery is:
I=VR=2020×19=19A


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