The magnetic field B crossing normally a square metallic plate of area 4 m 2 is changing with time as shown in figure. The magnitude of induced emf in the plate during t = 2 s to t = 4 s , is _____ m V .

Step-by-step solution

From the graph, it can be seen that the value of the magnetic field at t = 2 s is 4 mT , whereas the magnetic field at t = 4 s is 8 mT . The formula to calculate the magnitude of the induced emf is given by ε ind = d ϕ d t = d d t B A = A d B d t . . . 1 d B d t is the slope of the given graph. Hence, the value of the induced emf can be calculated as follows: ε ind = 4 m 2 × 8 mT - 4 mT 4 s - 2 s = 8 mV