A tightly wound solenoid of radius ‘ a ’ and length ‘ l ’ has n turns per unit length. It carries an electric current i . Magnetic field at a distance l 4 from one of the end (inside the solenoid on its axis) is B = μ 0 n i 5 + 3 K for l =

Question

A tightly wound solenoid of radius ‘ a ’ and length ‘ l ’ has n turns per unit length. It carries an electric current i . Magnetic field at a distance l 4 from one of the end (inside the solenoid on its axis) is B = μ 0 n i 5 + 3 K for l = 4 a . Then find the value of K .

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Correct answer: 40

Hint: B = μ 0 n i 2 s i n θ 1 + s i n θ 2 ⇒ B = μ 0 n i 2 1 2 + 3 10 ⇒ B = μ 0 n i 5 + 3 40 ∴ K = 40

A tightly wound solenoid of radius ‘ a ’ and length ‘ l ’ has n turns per unit length. It carries an electric current i . Magnetic field at a distance l 4 from one of the end (inside the solenoid on its axis) is B = μ 0 n i 5 + 3 K for l = 4 a . Then find the value of K .

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