Question

(a) A long, straight sole- noid has N turns, uniform cross-sectional area A, and length l. Show that the inductance of this solenoid is given by the equa- tion L = m0 AN2>l. Assume that the magnetic field is uniform inside the solenoid and zero outside. (Your answer is approximate because B is actually smaller at the ends than at the center. For this reason, your answer is actually an upper limit on the induc- tance.) (b) A metallic laboratory spring is typically 5.00 cm long and 0.150 cm in diameter and has 50 coils. If you connect such a spring in an electric circuit, how much self-inductance must you include for it if you model it as an ideal solenoid?

          (a) A long, straight sole-
noid has N turns, uniform cross-sectional area A, and length l.
Show that the inductance of this solenoid is given by the equa-
tion L = m0 AN2>l. Assume that the magnetic field is uniform
inside the solenoid and zero outside. (Your answer is approximate
because B is actually smaller at the ends than at the center. For
this reason, your answer is actually an upper limit on the induc-
tance.) (b) A metallic laboratory spring is typically 5.00 cm long
and 0.150 cm in diameter and has 50 coils. If you connect such a
spring in an electric circuit, how much self-inductance must you
include for it if you model it as an ideal solenoid?

Added by Tom-S V.

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