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(B) The magnetic flux $\phi$ through the plate is given by $\phi = B \cdot A$, where $A = 4\,m^2$ is the area and $B$ is the magnetic field.From the g

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$8$

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(B) The magnetic flux $\phi$ through the plate is given by $\phi = B \cdot A$, where $A = 4\,m^2$ is the area and $B$ is the magnetic field.From the graph, the magnetic field $B$ is a linear function of time $t$ (in seconds) with $B$ in $mT$ (milliTesla).The slope of the line is $m = \frac{dB}{dt} = \frac{10\,mT - 0\,mT}{5\,s - 0\,s} = 2\,mT/s$.According to Faraday's law of induction, the magnitude of the induced $emf$ $(\varepsilon)$ is given by $\varepsilon = \left| \frac{d\phi}{dt} ight| = A \left| \frac{dB}{dt} ight|$.Substituting the values: $\varepsilon = 4\,m^2 	imes 2\,mT/s = 8\,mV$.Thus, the magnitude of the induced $emf$ is $8\,mV$.

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

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