Two coaxial solenoids 1 and 2 of the same len | vedclass

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(D) The magnetic field inside a long solenoid is given by $B = \mu_0 ni$.Since the two solenoids are coaxial and the currents flow in opposite directi

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Both $(b)$ and $(c)$

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(D) The magnetic field inside a long solenoid is given by $B = \mu_0 ni$.Since the two solenoids are coaxial and the currents flow in opposite directions,the net magnetic field $B_{net}$ inside the inner coil is the difference between the individual magnetic fields: $B_{net} = |B_1 - B_2|$.For the magnetic field to be zero,we must have $B_1 = B_2$.Substituting the formula,we get $\mu_0 n_1 i_1 = \mu_0 n_2 i_2$,which simplifies to $n_1 i_1 = n_2 i_2$.This condition is satisfied if $n_1 i_1 = n_2 i_2$ (Option $b$).Additionally,if $n_1 = n_2$ and $i_1 = i_2$,the condition $n_1 i_1 = n_2 i_2$ is also satisfied (Option $c$).Therefore,both conditions $(b)$ and $(c)$ are correct.

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