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A conductor ABCDE, shaped as shown, carr...

A conductor ABCDE, shaped as shown, carries current I. It is placed in the x-y plane with the end 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

A

zero, if B is in the x-direction

B

`lambdaBI` in the z-direction, if B is in the y-direction

C

`lambdaBI` in the negative y-direction,if B is in the z-direction

D

`lambdaaBI`, if B is in the x-direction

Text Solution

Verified by Experts

The correct Answer is:
(a,b,c)
To find the Ampere's force on a conductor of any shape, replace
the conductor by an imagninary straight conductor joining the
two ends of the given conductor. So, if B is in x-direction, then
the imaginary staright 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 `lambdaBI` acting along the x direction. Similarly, if B is in the
z direction, then the force will be `lambdaBI`, acting along the negative
y direction.
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