Target Exam

CUET

Subject

Physics

Chapter

Magnetism and Matter

Question:

An iron ring of relative permeability $μ_r$, is introduced inside a toroidal solenoid having $η$ turns per meter. If the current in the solenoid is I, then the magnetic field in the ring is:

Options:

$\frac{μ_oμ_rI}{\sqrt{η}}$

$\frac{μ_oμ_rI}{η^2}$

$μ_oμ_rη^2I$

$μ_oμ_rηI$

Correct Answer:

$μ_oμ_rηI$

Explanation:

The correct answer is Option (4) → $μ_oμ_rηI$

Magnetic field inside a toroidal solenoid with an iron core:

$B = \mu H = \mu_0 \mu_r H$

Magnetizing field $H$ of a solenoid: $H = \eta I$

Thus, magnetic field in the iron ring:

$B = \mu_0 \mu_r \eta I$

Final Answer: $B = \mu_0 \mu_r \eta I$