Question

A solenoid having length 1.3 m and 2 cm in diameter has 5 turns in each 1 cm of length. A current of 10 A is flowing through it then magnetic field at one end of solenoid on the axis is

Answer 1

A solenoid having length 1.3 m and 2 cm diameter has 5 turns in each 1 cm of length. A current of 10A is flowing through it.

To find : The magnetic field at one end of solenoid on the axis.

solution : number of turns per cm = 5

so, number of turns in 1.3 m, N = 5 × 130 = 650 turns

current, i = 10 A

now magnetic field at one end on the axis of solenoid is given by, B = μ₀Ni/2

= (4π × 10^-7 × 650 × 10)/2

= 2π × 6500 × 10^-7 T

= 40820 × 10^-7 T

= 4.082 × 10¯³ T

Therefore the magnetic field at one end on the axis of solenoid is 4.082 × 10¯³ T