A) \[\left( \frac{NA}{kB} \right)l\]
B) \[\left( \frac{N}{kAB} \right)l\]
C) \[\left( \frac{NAB}{k} \right)l\]
D) \[\left( \frac{NAB}{kl} \right)\]
Correct Answer: C
Solution :
(c) \[\left( \frac{NAB}{k} \right)l\] Since magnetic torque on the coil, \[\tau =\text{ }NlAB\] This torque is balanced by counter torque \[\therefore k\phi =NlAB\] or \[\phi =\left( \frac{NAB}{k} \right)l\] where k is torsional constant. It is a scalar quantity having dimension of torque or energy i.e., \[[M{{L}^{2}}{{T}^{-2}}]\].You need to login to perform this action.
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