Two coaxial solenoids of different radii carr | vedclass

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Question

(C) For two coaxial solenoids carrying current $I$ in the same direction,the magnetic field produced by the outer solenoid is uniform inside it and ze

Vedclass · Accepted Answer

$\vec{F}_1 = \vec{F}_2 = 0$

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(C) For two coaxial solenoids carrying current $I$ in the same direction,the magnetic field produced by the outer solenoid is uniform inside it and zero outside. Since the inner solenoid is placed in a uniform magnetic field,the net magnetic force on it is zero because the forces on opposite sides of the current loops cancel each other out. Similarly,the magnetic field produced by the inner solenoid is confined within its volume and is zero outside. Therefore,the outer solenoid experiences no magnetic force from the inner one. According to Newton's third law of motion,the action and reaction forces must be equal and opposite. Since both forces are zero,they satisfy the condition $\vec{F}_1 = \vec{F}_2 = 0$.

Two coaxial solenoids of different radii carry current $I$ in the same direction. Let $\vec{F}_1$ be the magnetic force on the inner solenoid due to the outer one and $\vec{F}_2$ be the magnetic force on the outer solenoid due to the inner one. Then:

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