Question

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 A, estimate the

magnitude of B inside the solenoid near its centre.​

Answer 1

Explanation:

Length of solenoid L=80cm=0.8m

Diameter of solenoid d=1.8cm

As d<<L, thus we can treat the solenoid as solenoid of infinite length w.r.t its diameter.

Current flowing through the solenoid I=8.0 A

Total number of turns N=5×400=2000 turns

Number of turns per unit length n= L N

∴ n= 0.82000 =2500

Magnetic field at the center of solenoid B=μ o nI

∴ B=4π×10 −7 ×2500×8.0

We get B=2.5×10 −2 T

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