Target Exam

CUET

Subject

Physics

Chapter

Current Electricity

Question:

The magnetic flux ($\phi$) through the area of cross-section of a current-carrying coil is proportional to the current (i) ie., $\phi= Li$

(A) L is self-inductance of the coil
(B) The self-inductance of the coil does not depend on its geometry
(C) self-inductance is the electromagnetic analogue of mass in mechanics
(D) The self-inductance of the coil depends on the permeability of the medium inside coil

Choose the correct answer from the options given below:

Options:

(A), (B) and (D) only

(A), (C) and (D) only

(B), (C) and (D) only

(A), (B), (C) and (D)

Correct Answer:

(A), (C) and (D) only

Explanation:

The correct answer is Option (2) → (A), (C) and (D) only

Given: Magnetic flux through a coil $\phi$ is proportional to current $i$, i.e., $\phi = L i$

(A) $L$ is the self-inductance of the coil — Correct, by definition

(B) The self-inductance does not depend on geometry — Incorrect, it depends on number of turns, area, and length of coil

(C) Self-inductance is the electromagnetic analogue of mass — Correct, as it resists change in current similar to how mass resists change in velocity

(D) Self-inductance depends on the permeability of the medium inside the coil — Correct, as $\mu$ affects the magnetic flux for a given current

Correct statements: (A), (C), (D)