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Q.

A conductor ABCDE, shaped as shown, carries current I. It is placed in the x-y plane with the end s A and E on the x-axis. A uniform magnetic field of magnitude B exists in the region, The force acting on it will be

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a

λaBI if B is in the x-direction

b

zero, if B is in the x-direction

c

λBI in the negative y-direction, if B is in the z-direction

d

λBI in the z-direction, if B is in the y-direction

answer is A, B, C.

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Detailed Solution

To find the Ampere's force on a conductor of any shape, replace the conductor by an imaginary straight conductor joining the two ends of the given conductor. So, if B is in x-direction, then the imaginary straight conductor will be along the field and the force acting on it will be zero. If B is in y direction, then the force will be λBI acting along the z direction. Similarly, if B is in the z direction, then the force will be λBI, acting along the negative y direction.

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