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Question

Question: A straight conductor of mass m and carrying a current i is hinged at one end and placed in a plane p...

A straight conductor of mass m and carrying a current i is hinged at one end and placed in a plane perpendicular to the magnetic field B as shown in figure. At any moment if the conductor is let free, then the angular acceleration of the conductor will be (neglect gravity) –

A
B

23iBm\frac { 2 } { 3 } \frac { \mathrm { iB } } { \mathrm { m } }

C

3iB2 m\frac { 3 \mathrm { iB } } { 2 \mathrm {~m} }

D

3i2mB\frac { 3 \mathrm { i } } { 2 \mathrm { mB } }

Answer

3iB2 m\frac { 3 \mathrm { iB } } { 2 \mathrm {~m} }

Explanation

Solution

Torque dt = dF × r = iBdr × r t = a =

= =