The area of a coil is $A$. The coil is placed in a magnetic field which changes from $B_{0}$ to $4 B_{0}$ in time $t$. The magnitude of the induced e.m.f. in the coil will be:

  • A
    $\frac{3 AB_{0}}{t}$
  • B
    $\frac{4 AB_{0}}{t}$
  • C
    $\frac{3 B_{0}}{At}$
  • D
    $\frac{4 B_{0}}{At}$

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Similar Questions

$A$ coil has an area of $0.05\, m^2$ and it has $800$ turns. It is placed perpendicularly in a magnetic field of strength $4 \times 10^{-5}\, Wb/m^2$. It is rotated through $90^o$ in $0.1\, s$. The average $e.m.f.$ induced in the coil is (in $, V$)

Assertion : Lenz's law violates the principle of conservation of energy.
Reason : Induced $emf$ always opposes the change in magnetic flux responsible for its production.

The magnitude of induced emf is directly proportional to the rate of change of magnetic flux linked with the coil. This statement is known as

$A$ coil of effective area $3 \,m^2$ is placed at right angles to a magnetic field of induction $0.05 \,Wb/m^2$. If the field is decreased to $20 \%$ of its original value in $10 \,s$, the e.m.f. induced in the coil will be: (in $\,mV$)

The magnetic field in a coil of $100$ turns and $40 \text{ cm}^2$ area is increased from $1 \text{ T}$ to $6 \text{ T}$ in $2 \text{ s}$. The magnetic field is perpendicular to the coil. The $e.m.f.$ generated in it is $...... \text{ V}$.

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