Circuit Theorems and Conversions

Find the current through R₁ in the given circuit.

A 0.16 A

B 0.24 A

C 0.2 A

D 0.04 A

ANS:A - 0.16 A

Using Nodal analysis,

At node 1 -> v1/120 - 0.2 + (v1-v2/68) =0.
At node 2 -> (v2- v1)/68 + 0.04 = 0.
Thus solving simultaneously v1 and v2 equations we get v1= 19.2.
And so, at r2, I = 19.2/120 = 0.16.

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