Question:
A magnetic field in a certain region is given by $B=(40\hat{i}-15\hat{k})\times 10^{-4} T$. The magnetic flux passes through a loop of area $5.0 \,cm^2$ is placed flat on xy plane is
A magnetic field in a certain region is given by $B=(40\hat{i}-15\hat{k})\times 10^{-4} T$. The magnetic flux passes through a loop of area $5.0 \,cm^2$ is placed flat on xy plane is
Updated On: Jul 5, 2022
- 750nWb
- -750nWb
- 360nWb
- -360nWb
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The Correct Option is B
Solution and Explanation
$\phi = \overrightarrow{B}.\overrightarrow{A}$
= $[ ( 40 \hat{i} - 15 \hat{k} 10^{-4} ] [ 5 \times 10^{-4} \hat{k} ] $ = - 750 $nWb$
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Concepts Used:
Electromagnetic Induction
Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-
- When we place the conductor in a changing magnetic field.
- When the conductor constantly moves in a stationary field.
Formula:
The electromagnetic induction is mathematically represented as:-
e=N × d∅.dt
Where
- e = induced voltage
- N = number of turns in the coil
- Φ = Magnetic flux (This is the amount of magnetic field present on the surface)
- t = time
Applications of Electromagnetic Induction
- Electromagnetic induction in AC generator
- Electrical Transformers
- Magnetic Flow Meter