In a magnetic field of $0.05\,T$,the area of a coil changes from $101\,cm^2$ to $100\,cm^2$ without changing the resistance,which is $2\,\Omega$. The amount of charge that flows during this period is:
- A$2.5 \times 10^{-6}\,C$
- B$2 \times 10^{-6}\,C$
- C$10^{-6}\,C$
- D$8 \times 10^{-6}\,C$
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Magnetic flux $\phi$ (in weber) linked with a closed circuit of resistance $10\, \Omega$ varies with time $t$ (in seconds) as $\phi = 5t^2 - 4t + 1$. The induced electromotive force in the circuit at $t = 0.2\, s$ is ......... $V$.
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View Solution$A$ 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?
$A$ coil of resistance $250 \Omega$ is placed in a magnetic field. If the magnetic flux $(\phi)$ linked with the coil varies with time $t$ $(s)$ as $\phi = 50t^2 + 7$,the current in the coil at $t = 4 \ s$ is: (in $A$)
Assertion $(A)$: It is more difficult to move a magnet into a coil with more loops.
Reason $(R)$: This is because the emf induced in each current loop resists the motion of the magnet.
Reason $(R)$: This is because the emf induced in each current loop resists the motion of the magnet.
Assertion : Faraday's laws are consequences of conservation of energy.
Reason : In a purely resistive $A.C.$ circuit,the current lags behind the $e.m.f.$ in phase.
Reason : In a purely resistive $A.C.$ circuit,the current lags behind the $e.m.f.$ in phase.
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