- #1

dibilo

- 47

- 0

i received this problem from my lecturer

A solenoid is wound with 2200 turns per meter, and carries a current 2.5A. Take the axis of the solenoid to the solenoid to be parallel to the z-axis. A magnetic dipole moment given (m)=(20A.m^2)i+ (30A.m^2)k is located inside the solenoid.

i)how much energy would be required to rotate this magnetic dipole until (m) is parallel to the x-axis?

what i did was to find the magnetic dipole using |m|=sprt(20^2+30^2)= 36A.m^2

then i find the B field to be 6.9x10^-3 k

Uinitial = -(m).B= -(mxBx + myBy + mzBz), where by Bx and By =0 due to the solenoid being // to z-axis = -mzBz = -0.21J

Here is where my problem lies...

i wrote

Ufinal = -(20i).(6.9x10^-3) = 0 , due to Bx = 0 and mz = 0

but my tutor wrote on my worksheet that i should be using 36A.m^2 instead of 20, while in the 1st part, when finding Uinitial, i can use mzBz (30 x 6.9x10^3).

can anyone help me out on this? please as far as possible explain as simple as you can why is this so? thank you very much

A solenoid is wound with 2200 turns per meter, and carries a current 2.5A. Take the axis of the solenoid to the solenoid to be parallel to the z-axis. A magnetic dipole moment given (m)=(20A.m^2)i+ (30A.m^2)k is located inside the solenoid.

i)how much energy would be required to rotate this magnetic dipole until (m) is parallel to the x-axis?

what i did was to find the magnetic dipole using |m|=sprt(20^2+30^2)= 36A.m^2

then i find the B field to be 6.9x10^-3 k

Uinitial = -(m).B= -(mxBx + myBy + mzBz), where by Bx and By =0 due to the solenoid being // to z-axis = -mzBz = -0.21J

Here is where my problem lies...

i wrote

Ufinal = -(20i).(6.9x10^-3) = 0 , due to Bx = 0 and mz = 0

but my tutor wrote on my worksheet that i should be using 36A.m^2 instead of 20, while in the 1st part, when finding Uinitial, i can use mzBz (30 x 6.9x10^3).

can anyone help me out on this? please as far as possible explain as simple as you can why is this so? thank you very much

Last edited: