Find the current through galvanometer for the circuit shown below

Find the current through galvanometer for the circuit shown below
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Find the current through galvanometer for the circuit shown below:

A. 0.22 A

B. 0.08 A

C. 0.14 A

D. 0.3 A

Please scroll down to see the correct answer and solution guide.

Right Answer is: C

SOLUTION

\({I_1} = \frac{{36}}{{10\; + \;30}} = 0.9\;A\)

\({I_2} = \frac{{36}}{{40\; + \;50}} = 0.4\;A\)

V10Ω = 0.9 × 10 = 9 V ; V40Ω = 0.4 × 40 = 16 V

Vth = 16 – 9 = 7V

For RTh :

Rth = (10 ∥ 30) + (40 ∥ 50) = 29.72 Ω

With Vth and Rth, the equivalent circuit will:

DIAGRAM

\({I_G} = \frac{{{V_{th}}}}{{{R_{th}}\; + \;20}} \) 

\(I_G= \frac{7}{{20\; + \;29.72}} = 0.14\;A\)