A long ai-core slenoid of 320 turns, length 25cm and diaeter3.0 cm carries a cur

Question

A long ai-core slenoid of 320 turns, length 25cm and diaeter3.0 cm carries a currnt 2.0 A at certain time. The current isinreasing at a rate of 15 A/s. a.)Find the self-inductance fthe solenoid b) the magnetic field in he olnoid at that time c.)the magnetic energy toed in the solenoid. A long ai-core slenoid of 320 turns, length 25cm and diaeter3.0 cm carries a currnt 2.0 A at certain time. The current isinreasing at a rate of 15 A/s. a.)Find the self-inductance fthe solenoid b) the magnetic field in he olnoid at that time c.)the magnetic energy toed in the solenoid.

Explanation / Answer

No.of truns N = 320

Length L = 25 cm = 0.25 m

Diameter d= 3 cm =0.03 m

Area A = (pi) d ^ 2/ 4

             = 7.068 * 10 ^ -4 m^ 2

Current I = 2A

Rate of current di / dt = 15 A / s

(a). Self inductance L ‘ = N ^ 2 AL

Where   = 4(pi) * 10 ^ -7 H / m

Plug the values we get L ‘ = 0.0227 H

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