The GATE Grind

GATE 2023 IN – Question 27

Electricity and Magnetism · Magnetic fields and induction · 1 mark · Numerical answer

The force per unit length between two infinitely long parallel conductors, with a gap of 2 cm between them is 10 µN/m. When the gap is doubled, the force per unit length will be __________ µN/m (rounded off to one decimal place).

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 4.9 to 5.1

Explanation

For fixed currents, $F/\ell=\mu I_1I_2/(2\pi d)$. Doubling separation halves the force: $10/2=\boxed{5.0}$ μN/m.