In the circuit shown, the current through the 4 Ω Ω resistor is 1 A when the points P and M are connected to a DC voltage source. The potential difference between the points M and N is

Text Solution
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In parallel resistances potential difference across them is same.
Potential difference across PM
V = 4 × 1 = 4 volt (i,e., across 4 Ω Ω )
Equivalent resistance of lower side arm,
Req = 1 +
= 1.25 Ω Ω
Now the circuit can be shown as

Let current I flows in lower branch, so
1.25 I = 4 V
or I =
= 3.2 A
Therefore, 3.2 A current flows in 1 Ω Ω resistance, hence potential difference between M and N is
V' = 3.2 × 1 = 3.2 volt
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