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JEE Main202311 Apr 2023Morning ShiftPhysicsElectromagnetic InductionActual

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 .

Correct answer

0

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

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