A solenoid has a core of a material with a relative permeability of 500. The windings of the solenoid are insulated from the core and carry a current of 0.5 A. If the number of turns is 2000 per metre, the magnetic intensity is

$10^3\, A m^{-1}$

The correct answer is Option (2) → $10^3\, A m^{-1}$

Given:

Relative permeability: $\mu_r = 500$

Current: $I = 0.5$ A

Number of turns per unit length: $n = 2000 \ \text{turns/m}$

Magnetic field intensity inside solenoid (independent of core material):

$H = nI$

$H = 2000 \times 0.5 = 1000 \ \text{A/m}$

Answer: $H = 1000 \ \text{A/m}$