First slide

KVL

Question

Find the reading of the ideal ammeter connected in the given circuit. Assume that the cells have negligible internal resistance.

Moderate

A

0.8 A
B

0.25 A
C

1.95 A
D

0.05 A

Solution

$\begin{array}{l} In loop efhge, - 4 I_{2} + 2 I_{1} + 8 = 0 \Rightarrow \\ In loop cdfec, - 8 I_{3} + 4 I_{2} - 4 = 0 \Rightarrow \\ In loop abdca, - 10 I_{4} + 8 I_{3} + 10 = 0 \end{array} i n l o o p a b j i a - 10 I_{4} - 6 + 8 - 4 + 10 = 0 I_{4} = \frac{8}{10} = \frac{4}{5} A, I_{3} = - \frac{1}{4} A, I_{2} = \frac{1}{2} A, I_{1} = - 3 A$
Current through ammeter $= I_{1} + I_{2} + I_{3} + I_{4}$
$= \frac{- 60 + 10 - 5 + 16}{20} = \frac{39}{20} A = 1 .95 A$

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