1.

The magnetic field due to a narrow solenoid 50 cm long with 4000 turns and current of 2a.

Answer»

Magnetic field inside inside the solenoid 

\(B = \mu_0ni\)

\(∵\) \(n = \frac Nl\)

\(B = \frac{\mu_0Ni}{l}\)

\(B = 4\pi \times 10^{-7} \times \frac{4000}{.50}\times 2\)

\(B = 200960 \times 10^{-7}\)

\(B = 2.0 \times 10^{-2} T\)

Magnetic field at the end of solenoid

\(B_{end} = \frac{\mu_0ni}{2}\)

\(B_{end} = \frac{2.0 \times 10^{-2}}{2}\)

\(B_{end} = 1 \times 10^{-2} T\)



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