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robert25pl
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Induced emf around a closed path in a time-varying magnetic field.
A magnetic field is given in the xz-plane by B=Bo*cos(pi)(x-Uot)ay Wb/M^2. Consider a rigid square loop situated in the xz-plane with its vertices at (x,0,1), (x,0,2),(x+1,0,2) and (x+1,0,1).
1.What is the expression for the emf induced around the loop in the sense defined by connecting the above points.
2.If the loop is moving with the velocity [tex]V = U_{o}a_{x}[/tex] m/s instead of being stationary what is the induced emf
This is what I got for flux. Can someone check me if I’m doing this right? If it is ok then I can go to next step. I hope, the latex code comes out right. Thanks for help.
Sorry, I should be more specific. This is the exact expression:
[tex]\ B = B_{o}cos{\Pi}(x-U_{0}t)a_{y}[/tex]
So:
[tex]\psi=\int_{s}B\cdot\,ds=\int_{0}^{2} \int_{0}^{1}B_{0}cos{\Pi}(x-U_{0}t)a_{y}\cdot\, dx\,dz\,a_{y}[/tex]
My problem is that I'm not sure that integral limits are correct. Thanks
A magnetic field is given in the xz-plane by B=Bo*cos(pi)(x-Uot)ay Wb/M^2. Consider a rigid square loop situated in the xz-plane with its vertices at (x,0,1), (x,0,2),(x+1,0,2) and (x+1,0,1).
1.What is the expression for the emf induced around the loop in the sense defined by connecting the above points.
2.If the loop is moving with the velocity [tex]V = U_{o}a_{x}[/tex] m/s instead of being stationary what is the induced emf
This is what I got for flux. Can someone check me if I’m doing this right? If it is ok then I can go to next step. I hope, the latex code comes out right. Thanks for help.
Sorry, I should be more specific. This is the exact expression:
[tex]\ B = B_{o}cos{\Pi}(x-U_{0}t)a_{y}[/tex]
So:
[tex]\psi=\int_{s}B\cdot\,ds=\int_{0}^{2} \int_{0}^{1}B_{0}cos{\Pi}(x-U_{0}t)a_{y}\cdot\, dx\,dz\,a_{y}[/tex]
My problem is that I'm not sure that integral limits are correct. Thanks
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