A long solenoid produces magnetic field B₀ in vacuum. It is completely filled with a linear magnetic material of susceptibility χₘ=0.25, while the current remains unchanged. Neglect end effects. The new field is:
Options

Question

A long solenoid produces magnetic field B₀ in vacuum. It is completely filled with a linear magnetic material of susceptibility χₘ=0.25, while the current remains unchanged. Neglect end effects. The new field is:

Options

G1 Physics · Accepted Answer

For a long solenoid, H = n I c u r r e n t . I_current. I c ​ u r r e n t . Since the current is unchanged, H is unchanged. In vacuum, B₀ = μ₀H. With the magnetic material, B = μ₀(1+χₘ)H. Given χₘ=0.25, B = 1.25 μ₀H = 1.25B₀. Hence option C is correct.