A 60.0-m length of insulated copper wire is wound toform a solenoid of radius 2.0 cm. The copper wire has a radiusof 0.50 mm. (a) What is the resistance of the wire? (b) Treatingeach turn of the solenoid as a circle, how many turns canbe made with the wire? (c) How long is the resulting solenoid?(d) What is the self-inductance of the solenoid? (e) If the solenoidis attached to a battery with an emf of 6.0 V and internalresistance of 350 mΩ, compute the time constant of the circuit. (f ) What is the maximum current attained? (g) Howlong would it take to reach 99.9% of its maximum current?(h) What maximum energy is stored in the inductor?

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter13: Electromagnetic Induction
Section: Chapter Questions
Problem 89CP: A long solenoid of radius a with n turns per unit length is carrying a tune-dependent current...
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A 60.0-m length of insulated copper wire is wound to
form a solenoid of radius 2.0 cm. The copper wire has a radius
of 0.50 mm. (a) What is the resistance of the wire? (b) Treating
each turn of the solenoid as a circle, how many turns can
be made with the wire? (c) How long is the resulting solenoid?
(d) What is the self-inductance of the solenoid? (e) If the solenoid
is attached to a battery with an emf of 6.0 V and internal
resistance of 350 mΩ, compute the time constant of the

circuit. (f ) What is the maximum current attained? (g) How
long would it take to reach 99.9% of its maximum current?
(h) What maximum energy is stored in the inductor?

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