First slide

KVL

Question

In the circuit shown, the variable resistance X is to be adjusted such that the ideal ammeter reads the same in both the positions of the key,
when connected independently to 1 and then to 2. The reading of the ammeter is 2 A. If E = 10 V then X is

Moderate

A

$5 Ω$
B

$20 Ω$
C

$50 Ω$
D

cannot be determined

Solution

In position (1) : $ε - i r = 0 \Rightarrow ε = 2 r$
Now, in position (2): $ε - i r + E - i X = 0$
$\Rightarrow 2 r - 2 r + 10 - 2 X = 0 \Rightarrow X = 5 Ω$

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