In the given electrical circuit, which one of the following equation is a correct equation?

Question

In the given electrical circuit, which one of the following equation is a correct equation?, E 2 - i 2 r 2 - E 1 - i 1 r 1 = 0, E 1 - i 1 + i 2 R + i 1 r 1 = 0, E 1 - i 1 + i 2 R - i 1 r 1 = 0, - E 2 - i 1 + i 2 R + i 2 r 2 = 0

MARKS App · Accepted Answer

The given circuit can be drawn as Applying Kirchhoff’s voltage law (KVL) in loop ABCD, we get - i 1 + i 2 R + E 2 - i 2 r 2 = 0 …. (i) Applying KVL in loop ABFEA, we get - i 1 + i 2 R - i 1 r 1 + E 1 = 0 ….. (ii) Applying KVL in Loop EFCDE, we get - E 1 + i 1 r 1 + E 2 - i 2 r 2 = 0 ….. (iii) From the given options, only option (c) satisfies Eq. (ii), hence it is the correct equation.

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