Question:

A rectangular loop of sides 12 cm and 5 cm, with its sides parallel to the x-axis and y-axis respectively moves with a velocity of 5 cm/s in the positive x axis direction in a space containing a variable magnetic field in the positive z direction. The field has a gradient of 10^–3T/cm along the negative x direction and it is decreasing with time at the rate of 10^–3 T/s. If the resistance of the loop is 6 m ohm, the power dissipated by the loop as heat is _______ × 10^–9 W.

                                             JEE-2024         

Solution:                
A rectangular loop of sides 12 cm and 5 cm, with its sides parallel to the x-axis and y-axis respectively moves with a velocity of 5 cm/s in the positive x axis direction in a space containing a variable magnetic field in the positive z direction. The field has a gradient of 10^–3T/cm along the negative x direction and it is decreasing with time at the rate of 10^–3 T/s. If the resistance of the loop is 6 m ohm, the power dissipated by the loop as heat is _______ × 10^–9 W. JEE-2024

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