CH-27 WEB - Ch-27 Sources of the Magnetic Field(Additional...

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Ch-27: Sources of the Magnetic Field: (Additional Questions) 1-) In figure, the long straight wire carries a current of 30A and the rectangular loop carries a current of 20A. Calculate the resultant force acting on the loop.Assume that a = 1 cm, b = 8 cm, and L = 30 cm. Solution: The magnitudes of the forces on the sides of the rectangle which are paralel to the long straight wire ( with i = 30 A ) are calculated as follows. The force on each of the sides lying perpendicular to it ( along our y axis, with the origin at the top wire and + y downward ) would be figured by integrating as follows: Fortunately, these forces on the two perpendicular sides of lenght b cancels out. For the remaining two ( paralel ) sides of lenght L, we obtain and F points towards the wire.
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2-) Find the magnetic field B at point P in figure. Solution: We see that the current in the straight segments colinear with P do not contribute to the field at that point. We use the result to evaluate the contributions to the field at point P, noting that
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