112.A potentiometer circuit is set up as shown. The potential gradient, across the potentiometer
wire, is k volt/cm and the ammeter, present in
the circuit, reads 1.0 A when two way key is
switched off. The balance points, when the key
between the terminals (i) 1 and 2 (ii) 1 and 3, is
plugged in, are found to be at lengths l₁ cm and
l₂ cm respectively. The magnitudes, of the resistors R
and X, in ohms, are then, equal, respectively, to
wire, is k volt/cm and the ammeter, present in
the circuit, reads 1.0 A when two way key is
switched off. The balance points, when the key
between the terminals (i) 1 and 2 (ii) 1 and 3, is
plugged in, are found to be at lengths l₁ cm and
l₂ cm respectively. The magnitudes, of the resistors R
and X, in ohms, are then, equal, respectively, to
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I HOPE THIS HELPS YOU... =)
When key between the terminals 1 and 2 is plugged in,
P.D. across R = IR = k l1
⇒ R = k l1 as I = 1A
(ii)When key between terminals 1 and 3 is plugged in,
P.D. across (X + R) = I(X + R) = k l2
⇒ X + R = k l2
∴ X = k (l2 – l1)
∴ R = kl1 and X = k (l2 – l1)
hope it help u moderate sir