First slide

KVL

Question

The magnitude of i (in ampere) is

Moderate

A

0.1
B

0.3
C

0.6
D

None of these

Solution

Applying Kirchhoff's law in following figure.
At junction A :
$= i + i_{1} + i_{2} = 1 . ... (i)$
For Loop (1),
$- 60 i + (15 + 5) i_{1} = 0$
$\Rightarrow i_{1} = 3 i . ... (ii)$
For loop (2),
$\begin{array}{l} - (15 + 5) i_{1} + 10 i_{2} = 0 \\ \Rightarrow i_{2} = i_{1} = (3 i) = 6 i . ... (ii) \end{array}$
On solving equations (i), (ii) and (iii), we get i = 0.1 A

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