For a circuit shown below calculate the value of i 1?

For a circuit shown below calculate the value of i₁?

A. \(\frac{{43}}{{160}}mA\)

B. \(\frac{{117}}{{32}}\;mA\)

C. \(\frac{{117}}{{22}}mA\)

D. \(\frac{{117}}{{11}}mA\)

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Diagram

Let i₁ and i₂ are in mA.

By applying KVL in loop 1,

10 (i₂ – i₁) – 0.7 - (11 i₁) = 0

⇒ 10 i₂ – 21 i₁ = 0.7 ---(1)

By applying KVL in loop 2,

10 i₂ + 10 (i₂ – i₁) – 10 = 0

2 i₂ – i₁ = 1 ---(2)

From equations (1) and (2),

\({i_1} = \frac{{43}}{{160}}\;mA\)