A magnet is moved towards the coil (a) quickly and (b) slowly, and the...
A magnet is moved towards the coil (a) quickly and (b) slowly, and then the work done is This is because when the magnet is moved quickly, opposing emf induced in the coil will be more.
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A magnet is moved towards the coil (a) quickly and (b) slowly, and the...
According to Faraday's Law: E=dt/dϕ,if the magnet moves quickly, the rate of change of flux is also higher, hence the EMF induced would belarger in case (a) compared to case (b).so, op D.
A magnet is moved towards the coil (a) quickly and (b) slowly, and the...
Explanation:
When a magnet is moved towards a coil, it induces an electromotive force (EMF) in the coil according to Faraday's law of electromagnetic induction. The work done in this process is the energy transferred to the coil.
(a) Quickly moving the magnet towards the coil:
When the magnet is moved quickly towards the coil, the change in magnetic field is rapid, resulting in a larger rate of change of magnetic flux through the coil. According to Faraday's law, the induced EMF is directly proportional to the rate of change of magnetic flux. Therefore, a larger induced EMF is produced when the magnet is moved quickly.
The work done in moving the magnet quickly towards the coil is given by the product of the induced EMF and the charge transferred. Since the induced EMF is larger in this case, the work done is also larger.
(b) Slowly moving the magnet towards the coil:
When the magnet is moved slowly towards the coil, the change in magnetic field is gradual, resulting in a smaller rate of change of magnetic flux through the coil. As a result, the induced EMF is smaller compared to the case when the magnet is moved quickly.
The work done in moving the magnet slowly towards the coil is given by the product of the induced EMF and the charge transferred. Since the induced EMF is smaller in this case, the work done is also smaller.
Comparison:
Comparing the two cases:
- When the magnet is moved quickly towards the coil, the induced EMF and the work done are both larger.
- When the magnet is moved slowly towards the coil, the induced EMF and the work done are both smaller.
Therefore, the work done in case (a) (quickly moving the magnet towards the coil) is larger than the work done in case (b) (slowly moving the magnet towards the coil).
Hence, the correct answer is option 'D' - larger in case (a).