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Question

(D) For two coaxial solenoids carrying current in the same direction,the magnetic field produced by the outer solenoid is uniform inside it and zero o

Vedclass · Accepted Answer

$\overrightarrow{F_1} = \overrightarrow{F_2} = 0$

Vedclass · Answer

(D) For two coaxial solenoids carrying current in the same direction,the magnetic field produced by the outer solenoid is uniform inside it and zero outside it. The inner solenoid is placed in this uniform magnetic field. Since the current in the inner solenoid is distributed symmetrically,the net magnetic force on the inner solenoid is zero because the forces on opposite sides cancel each other out.Similarly,the magnetic field produced by the inner solenoid is confined within its own volume and is zero outside it. Therefore,the outer solenoid is placed in a region where the magnetic field due to the inner solenoid is zero. Thus,the net magnetic force on the outer solenoid is also zero.Hence,$\overrightarrow{F_1} = 0$ and $\overrightarrow{F_2} = 0$.

Two coaxial solenoids of different radii carry current $I$ in the same direction. Let $\overrightarrow{F_1}$ be the magnetic force on the inner solenoid due to the outer one and $\overrightarrow{F_2}$ be the magnetic force on the outer solenoid due to the inner one. Then

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