Two coaxial solenoids of different radii carry current I in the same direction. Let be the magnetic force on the inner solenoid due to the outer one and be the magnetic force on the outer solenoid due to the inner one. Then:

Engineering

Physics

Solenoid and Toroid

Question

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:

${\vec{F}}_{1}$ is radially inwards and ${\vec{F}}_{2}$ is radially outwards

${\vec{F}}_{1}$ is radialy inwards and ${\vec{F}}_{2}$ = 0

${\vec{F}}_{1} = {\vec{F}}_{2} = 0$

${\vec{F}}_{1}$ is radially outwards and ${\vec{F}}_{2}$ = 0

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Field due to solenoid 2 outside the solenoid is zero \[ \vec{f}_1 = 0 \] Due to action–reaction: \[ \vec{f}_2 = 0 \] or solenoid 2 behaves as a magnetic dipole \begin{align*} \vec{f}_2 &= \frac{A \, dB}{dx} \end{align*}