A square circuit of side lengths 2.0 cm has been shown in the figure. A magnetic field points out of the page; its magnitude is given by , where B is in tesla, t is in seconds, and y is in meters. We have to determine the emf around the square at and give its direction.

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A square loop has sides of length 2.0 cm. A magnetic field points out of the page. Its magnitude is being given by , where B is in tesla and t is in seconds, and y is in meters. We have to determine the emf around the square at and also have to find its direction.

The flux due to the magnetic filed can be calculated by integration. We have

Or

By the Faraday’s law, the emf in the circuit at will be given by

By the Lenz’ law we note that the direction of induced current will be clockwise.