You would like to store 8.4 J of energy in the magnetic field of a solenoid. The

Question

You would like to store 8.4 J of energy in the magnetic field of a solenoid. The solenoid has 540 circular turns of diameter 6.6 cm distributed uniformly along its 28 cm length.

Part A

How much current is needed?

Express your answer using two significant figures.

_________

Part B

What is the magnitude of the magnetic field inside the solenoid?

Express your answer using two significant figures.

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Part C

What is the energy density (energy/volume) inside the solenoid?

Express your answer using two significant figures.

You would like to store 8.4 J of energy in the magnetic field of a solenoid. The solenoid has 540 circular turns of diameter 6.6 cm distributed uniformly along its 28 cm length.

Part A

How much current is needed?

Express your answer using two significant figures.

I =

_________

  A

Part B

What is the magnitude of the magnetic field inside the solenoid?

Express your answer using two significant figures.

B = _______T  

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Part C

What is the energy density (energy/volume) inside the solenoid?

Express your answer using two significant figures.

Explanation / Answer

A) Energy Stored =(B/2u)*pi*(d/2)^2 *L

B= 8.4*2*4*pi*10^-7/(pi*0.033^2*0.28)

=0.022 T

B=u*n*I

I=0.022/(4*pi*10^-7*540)

=32.49 A

B) Magnetic field =0.022 T

C) Energy Density =B/2u

=8757.96

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