A rectangular loop of copper wire of resistance r has width a and length

b. the loop is stationary in a uniform magnetic field. the magnetic field b at time t = 0 seconds is directed into the page as shown below. the uniform magnetic field varies with time t according to the relationship b = b0 cos ω t, where ω and b0 are positive constants and b is positive when the field is directed into the page. the direction of the induced current in the loop when ω t = π 2, after the magnetic field begins to oscillate is

Question

Maximilian Hamilton

Physics

24 May, 02:53

A rectangular loop of copper wire of resistance r has width a and length

b. the loop is stationary in a uniform magnetic field. the magnetic field b at time t = 0 seconds is directed into the page as shown below. the uniform magnetic field varies with time t according to the relationship b = b0 cos ω t, where ω and b0 are positive constants and b is positive when the field is directed into the page. the direction of the induced current in the loop when ω t = π 2, after the magnetic field begins to oscillate is

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Carsen · Answer 1

b = b₀ cos ω t

When t = 0, magnetic field will be b₀ and positive or directed into the page. This is the maximum value of magnetic field. As times goes ahead, magnetic field decreases so magnetic flux decreases. The induced emf or current will be such that it will opposes this reduction of magnetic field. Hence, current in clockwise direction will be generated in the coil which will generate magnetic flux into the paper.

In this way current will be induced clockwise.