Asquare loop of side 12 cm with its sides parallel to X and Y axes ismoved with a velocity of 8 cm s−1in the positive x-directionin an environment containing a magnetic field in the positivez-direction.The field is neither uniform in space nor constant in time. It has agradient of 10−3T cm−1along the negative x-direction(that is it increases by 10−3 T cm−1as one moves in the negative x-direction),and it is decreasing in time at the rate of 10−3T s−1.Determine the direction and magnitude of the induced current in theloop if its resistance is 4.50 mΩ.

Asquare loop of side 12 cm with its sides parallel to X and Y axes ism

1.	Asquare loop of side 12 cm with its sides parallel to X and Y axes ismoved with a velocity of 8 cm s−1in the positive x-directionin an environment containing a magnetic field in the positivez-direction.The field is neither uniform in space nor constant in time. It has agradient of 10−3T cm−1along the negative x-direction(that is it increases by 10−3 T cm−1as one moves in the negative x-direction),and it is decreasing in time at the rate of 10−3T s−1.Determine the direction and magnitude of the induced current in theloop if its resistance is 4.50 mΩ.
Answer» A square loop of side 12 cm with its sides parallel to X and Y axes is moved with a velocity of 8 cm s⁻¹ in the positive x-direction in an environment containing a magnetic field in the positive z-direction. The field is neither uniform in space nor constant in time. It has a gradient of 10⁻³ T cm⁻¹ along the negative x-direction (that is it increases by 10^− 3 T cm⁻¹ as one moves in the negative x-direction), and it is decreasing in time at the rate of 10⁻³ T s⁻¹. Determine the direction and magnitude of the induced current in the loop if its resistance is 4.50 mΩ.

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