A conducting loop of area 2.0 10⁻³ m ^2 is placed perpendicular to a magnetic field. The field varies over four 10 ms intervals as depicted in the figure. In which intervals is the induced emf not constant? Neglect the behaviour near the ends of the 10 ms intervals.

Step-by-step solution

According to Faraday's law of electromagnetic induction, the induced emf is given by: = - d dt = -A dB dt Since the area A of the loop is constant, the induced emf is directly proportional to the rate of change of the magnetic field, dB dt . The term dB dt represents the slope of the B-t graph. From the given graph, we can observe the following: - In the interval 0 to 10 ms , the graph is a straight line, meaning the slope dB dt is constant. Hence, the induced emf is constant. - In the interval 10 ms to 20 ms , the