Two coaxial solenoids are made on a pipe of area A = 10 cm^2 and length L = 20 cm . If solenoids have N_1 = 300 and N_2 = 400 turns, their mutual indu - Physics MCQ AIEEE 2026 | ExamTest.live

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Two coaxial solenoids are made on a pipe of area A = 10 cm^{2} and length L = 20 cm . If solenoids have N_{1} = 300 and N_{2} = 400 turns, their mutual inductance is (μ_{0} = 4 π \times 1 0^{- 7} Tm/A):

Solution & Step-by-step Explanation

Mutual inductance M = \frac{μ _{0} N _{1} N _{2} A}{L} . A = 10 \times 1 0^{- 4} m^{2} = 1 0^{- 3} m^{2} . L = 0.2 m . M = \frac{4 π \times 1 0 ^{- 7} \times 300 \times 400 \times 1 0 ^{- 3}}{0.2} M = \frac{4 π \times 12 \times 1 0 ^{4} \times 1 0 ^{- 10}}{0.2} = \frac{48 π \times 1 0 ^{- 6}}{0.2} = 240 π \times 1 0^{- 6} = 2.4 π \times 1 0^{- 4} H

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Two coaxial solenoids are made on a pipe of area A = 10 cm^{2} and length L = 20 cm . If solenoids have N_{1} = 300 and N_{2} = 400 turns, their mutual inductance is (μ_{0} = 4 π \times 1 0^{- 7} Tm/A):

2.4 π \times 1 0^{- 5} H

4.8 π \times 1 0^{- 4} H

4.8 π \times 1 0^{- 5} H

2.4 π \times 1 0^{- 4} H

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