$A$ coil having $n$ turns and resistance $R \ \Omega$ is connected with a galvanometer of resistance $4 R \ \Omega$. This combination is moved in time $t$ seconds from a magnetic flux $\phi_1$ Weber to $\phi_2$ Weber. The induced current in the circuit is

  • A
    $\frac{\phi_2-\phi_1}{5 Rnt}$
  • B
    $-\frac{n(\phi_2-\phi_1)}{5 Rt}$
  • C
    $-\frac{(\phi_2-\phi_1)}{Rnt}$
  • D
    $-\frac{n(\phi_2-\phi_1)}{Rt}$

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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 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:

Some magnetic flux is changed through a coil of resistance $10 \, \Omega$. As a result,an induced current is developed in it,which varies with time as shown in the figure (assuming a triangular pulse with base $0.1 \, s$ and height $4 \, A$). The magnitude of the change in flux through the coil in Webers is:

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$A$ wire loop of area $0.2 \, m^2$ has a resistance of $20 \, \Omega$. $A$ magnetic field pointing normal to the loop has a magnitude of $0.25 \, T$ and is reduced to zero at a uniform rate in $10^{-4} \, s$. What is the induced emf and the resulting current?

As shown in the figure, two identical conducting rings of radius $r$ are placed in a magnetic field. In figure $(a)$, the magnetic field is increasing at the rate of $0.3 \text{ T/s}$, and in figure $(b)$, the magnetic field is decreasing at the rate of $0.2 \text{ T/s}$. The direction of the current in ring $(a)$ and ring $(b)$, when observed from the top, is . . . . . .

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