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In the dynamo-meter, the deflecting torque is directly proportional to the _______.
Question

In the dynamo-meter, the deflecting torque is directly proportional to the _______.

A.

current in fixed coil

B.

current in both fixed and moving coil

C.

voltage applied

D.

current in moving coil

Correct option is B

 In a dynamometer type instrument, the deflecting torque is produced by the interaction of the magnetic fields created by the currents in the fixed and moving coils.

Deflecting torque (Td) is given byTd=Force×perpendicular distanceTd=(BILN)×bWhere,B=flux density in Wb/m2L=length or depth of coil in mb=breadth of the coil in mN=No. of turns in the coilSince, L×b=AWhere A is area of the coil in m2Td=BINATdI\text{Deflecting torque } (T_d) \text{ is given by} \\T_d = \text{Force} \times \text{perpendicular distance} \\T_d = (B I L N) \times b \\\text{Where,} \\B = \text{flux density in Wb/m}^2 \\L = \text{length or depth of coil in m} \\b = \text{breadth of the coil in m} \\N = \text{No. of turns in the coil} \\\text{Since, } L \times b = A \\\text{Where } A \text{ is area of the coil in m}^2 \\T_d = B I N A \\T_d \propto I

 Therefore, the deflecting torque is proportional to the product of the currents flowing through both the fixed and moving coils.

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