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Exercise 30.15 A metallic laboratory spring is typically 5.00 cmlong and 0.150 c

ID: 1378012 • Letter: E

Question

Exercise 30.15

A metallic laboratory spring is typically 5.00 cmlong and 0.150 cm in diameter and has 50 coils.

Part A

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?

Express your answer to three significant figures and include the appropriate units.

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Exercise 30.15

A metallic laboratory spring is typically 5.00 cmlong and 0.150 cm in diameter and has 50 coils.

Part A

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?

Express your answer to three significant figures and include the appropriate units.

L =

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Explanation / Answer

N = 50 (no of loops)

A = area

A = pi*d^2/4

= pi*(0.15*10^-2)^2/4

= 1.767*10^-6 m^2

l = 0.05 m (length )

self inductnace, L = mue*N^2*A/l

= 4*pi*10^-7*50^2*1.767*10^-6/0.05

= 1.11*10^-7 H