Asolenoid 28.0 cm long with a cross sectional area 0.475 cm^2 contains 645 turns and carries a current 85.0 a. a. find the inductance of this solenoid. b. find the total energy contained in the coil's magnetic field (assuming that the field is uniform throughout).

Explanation:

It is given that,

Length of solenoid, l = 28 cm = 0.28 m

Area of cross section, A = 0.475 cm² = 4.75 × 10⁻⁵ m²

Current, I = 85 A

(a) The inductance of the solenoid is given by :

L = 0.0000886 H

(b) Energy contained in the coil's magnetic field is given by :

U = 0.3200675 Joules

or

U = 0.321 Joules

Hence, this is the required solution.

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