Current Electricity 2 Question 13
13. In the circuit shown below, the current in the $1 \Omega$ resistor is
(a) $1.3 A$, from $P$ to $Q$
(b) $0.13 A$, from $Q$ to $P$
(c) $0 A$
(d) $0.13 A$, from $P$ to $Q$
(2015 Main)
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Solution:
Applying Kirchhoff’s loop law in loops 1 and 2 in the directions shown in figure we have
$$ \begin{array}{r} 6-3\left(i _1+i _2\right)-i _2=0 \\ 9-2 i _1+i _2-3 i _1=0 \end{array} $$
Solving Eqs. (i) and (ii) we get,
$$ i _2=0.13 A $$
Hence, the current in $1 \Omega$ resister is 0.13 A from $Q$ to $P$.
