A solenoid of length with turns carries a current of and encloses a soft-iron core

MATHEMATICS · Multi-part · A Level · Mathematics · Quantities and units in mechanics · Quantities and units in mechanics

Problem

A solenoid of length 20 cm20\,\text{cm} with 400400 turns carries a current of 2 A2\,\text{A} and encloses a soft-iron core. After the core is removed, the magnetic field inside the solenoid becomes one-tenth of its former value. (a) Keeping the current and length unchanged, calculate the number of turns required in a new winding to restore the original magnetic field. (b) In one sentence, state why the magnetic field decreased when the core was removed.

Related theory

Browse the problem library