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Question -

A closely wound solenoid 80 cmlong has 5 layers of windings of 400 turns each. The diameter of the solenoidis 1.8 cm. If the current carried is 8.0 A, estimate the magnitude of B inside the solenoid near itscentre.



Answer -

Length of the solenoid, l =80 cm = 0.8 m

There are five layers of windingsof 400 turns each on the solenoid.

Total number of turns on thesolenoid, N = 5 × 400 = 2000

Diameter of the solenoid, D =1.8 cm = 0.018 m

Current carried by thesolenoid, I = 8.0 A

Magnitudeof the magnetic field inside the solenoid near its centre is given by therelation,

Where,

 = Permeability of freespace = 4π × 10–7 T m A–1

Hence, the magnitude of themagnetic field inside the solenoid near its centre is 2.512 × 10–2 T.

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