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Question

Question: Current supplied by the cell in the adjoining figure is ...

Current supplied by the cell in the adjoining figure is

A

1.5 A

B

1 A

C

0.1 A

D

0.5 A

Answer

0.1 A

Explanation

Solution

The circuit has two branches connected across a 2 V cell:

  • One branch: a single 30 Ω resistor.
  • Other branch: two 30 Ω resistors in series giving 60 Ω.

Their equivalent resistance is

Req=(130+160)1=(2+160)1=603=20Ω.R_{eq} = \left(\frac{1}{30}+\frac{1}{60}\right)^{-1} = \left(\frac{2+1}{60}\right)^{-1} = \frac{60}{3} = 20\,\Omega.

Thus, the current supplied by the cell is

I=VReq=2V20Ω=0.1A.I = \frac{V}{R_{eq}} = \frac{2\,V}{20\,\Omega} = 0.1\,A.