Question:
In a magnetic field of $0.05\, T,$ 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 flow during this period is
In a magnetic field of $0.05\, T,$ 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 flow during this period is
Updated On: Apr 15, 2024
- $2.5 � 10^{-6}\, C$
- $2 � 10^{-6}\, C$
- $10^{-6}\,C$
- $8 � 10^{-6}\, C$
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The Correct Option is A
Solution and Explanation
Magnetic Flux, $\phi=B\cdot A$
Change in flux, $d\,\phi=B\cdot dA$
$=0.05\left(101-100\right)\times10^{-4}$
$=5\times10^{-6}\,Wb$
Charge $dQ=\frac{d\phi}{R}$
$=\frac{5\times10^{-6}}{2}=2.5\times10^{-6}\,C$
Change in flux, $d\,\phi=B\cdot dA$
$=0.05\left(101-100\right)\times10^{-4}$
$=5\times10^{-6}\,Wb$
Charge $dQ=\frac{d\phi}{R}$
$=\frac{5\times10^{-6}}{2}=2.5\times10^{-6}\,C$
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Concepts Used:
Faradays Laws of Induction
There are two laws, given by Faraday which explain the phenomena of electromagnetic induction:
Faraday's First Law:
Whenever a conductor is placed in a varying magnetic field, an emf is induced. If the conductor circuit is closed, a current is induced, known as the induced current.
Faraday's Second Law:
The Emf induced inside a coil is equal to the rate of change of associated magnetic flux.
This law can be mathematically written as:
∈\(-N {\triangle \phi \over \triangle t}\)
