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 length $l$1 cm and $l$2 cm respectively. The magnitudes, of the resistors R and X, in ohms, are then, equal, respectively, to

Question

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 length $l$₁ cm and $l$₂ cm respectively. The magnitudes, of the resistors R and X, in ohms, are then, equal, respectively, to

$k({l_2} - {l_1})$ and $k{l_2}$

$k{l_1}$ and $k({l_2} - {l_1})$

$k\left( {{l_2} - {l_1}} \right)$ and $k{l_1}$

$k{l_1}$ and $k{l_2}$

Solution

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