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Home » 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.
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.
CBSE | Class 12 | Moving Charges and Magnetism | NCERT | Physics
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.

The length of the solenoid (l) is 80 cm (0.8 m).

On the solenoid, there are five levels of windings, each with 400 turns.

∴ Total number of solenoid rotations, N = 5 x 400 = 2000

Diameter of the solenoid (D) = 1.8 cm = 0.018 m

The current carried by the solenoid (I) is equal to 8.0 A.

The following is the relationship that determines the magnitude of the magnetic field within the solenoid at its centre:

B = \frac{{{\mu _o}NI}}{l}

Where,

{\mu _o} =Permeability of free space

{\mu _o} = 4\pi \times {10^{ - 7}}Tm{A^{ - 1}}

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

B = 2.5 \times {10^{ - 2}}T

As a result, the magnitude of B within the solenoid at its centre is 2.5 \times {10^{ - 2}}T.

i

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