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

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

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The magnitude of the magnetic field at the centre of a solenoid of length l, total turns N and carrying current I is given by

B=\frac{\mu _{o}NI}{l} , where \mu _{o} is the permeability of free space.

In the given question,

N = number of layers of winding \times number of turns per winding

N = 5 \times 400 = 2000

I = 8.0 A

l = 80 cm

B=\frac{4\pi \times 10^{-7}\times 2000\times 8}{0.8}

\\B=2.51\times10^{-2} T

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Sayak

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