If magnetic flux associated with a coil varies at the rate of 1Wb/s,th...
Introduction
When magnetic flux associated with a coil changes at a certain rate, it induces an electromotive force (EMF) in the coil. This is known as Faraday's law of electromagnetic induction.
Lenz's Law
Lenz's law states that the direction of the induced EMF is such that it opposes the change that produced it. This means that if the magnetic flux through a coil is increasing, the induced EMF will be in the opposite direction to the current that would be produced by the increase in flux. Similarly, if the flux is decreasing, the induced EMF will be in the same direction as the current that would be produced by the decrease in flux.
Conservation of Energy
According to the law of conservation of energy, energy cannot be created or destroyed, only converted from one form to another. When an EMF is induced in a coil, it represents a conversion of energy from the magnetic field into electrical energy. This means that the total energy in the system remains constant.
Explanation
If the magnetic flux associated with a coil varies at the rate of 1Wb/s, the induced EMF can be calculated using the formula:
EMF = -N(dΦ/dt)
Where EMF is the induced electromotive force, N is the number of turns in the coil, and dΦ/dt is the rate of change of magnetic flux.
Substituting the given values, we get:
EMF = -N(1 Wb/s)
This means that the induced EMF is equal to the negative of the product of the number of turns in the coil and the rate of change of magnetic flux.
Since the EMF is negative, it means that the induced current will flow in the opposite direction to the change in flux. This is in accordance with Lenz's law.
The energy converted from the magnetic field into electrical energy is given by:
Energy = EMF x Charge
Since the charge is not given, we cannot calculate the exact amount of energy converted. However, we can say that the total energy in the system remains constant, in accordance with the law of conservation of energy.
Conclusion
In conclusion, when the magnetic flux associated with a coil varies at a certain rate, it induces an EMF in the coil, which is governed by Faraday's law of electromagnetic induction. Lenz's law states that the direction of the induced EMF opposes the change that produced it, while the law of conservation of energy states that the total energy in the system remains constant.
If magnetic flux associated with a coil varies at the rate of 1Wb/s,th...
Induced emf = -d(phi)\dt
lenz law comes here in just opposing what ever is happening i.e why there is negetive sign (its a simple understanding of lenz law )