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Magnetic flux associated with a coil of 200 turns decrease to 0.5 weber from 1 weber in 1 second. find out induced e.m.f. between the ends of coil due to above change. Please give the complete solution not only answer.
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Magnetic flux associated with a coil of 200 turns decrease to 0.5 webe...
The Problem:
We are given a coil with 200 turns. The magnetic flux associated with the coil decreases from 1 Weber to 0.5 Weber in 1 second. We need to find the induced electromotive force (emf) between the ends of the coil due to this change.
The Solution:
To find the induced emf, we can use Faraday's law of electromagnetic induction, which states that the induced emf is equal to the rate of change of magnetic flux through the coil.
Step 1: Finding the change in magnetic flux:
The change in magnetic flux (ΔΦ) can be calculated by subtracting the initial flux (Φi) from the final flux (Φf).
ΔΦ = Φf - Φi
ΔΦ = 0.5 Wb - 1 Wb
ΔΦ = -0.5 Wb
Step 2: Finding the rate of change of magnetic flux:
The rate of change of magnetic flux (dΦ/dt) can be calculated by dividing the change in magnetic flux by the time taken (Δt).
dΦ/dt = ΔΦ / Δt
dΦ/dt = -0.5 Wb / 1 s
dΦ/dt = -0.5 Wb/s
Step 3: Finding the induced emf:
Using Faraday's law, we know that the induced emf (ε) is equal to the rate of change of magnetic flux.
ε = -dΦ/dt
ε = -(-0.5 Wb/s)
ε = 0.5 V
Therefore, the induced electromotive force (emf) between the ends of the coil due to the change in magnetic flux is 0.5 Volts.
Conclusion:
The induced emf between the ends of the coil is 0.5 Volts. This emf is generated due to the change in magnetic flux through the coil, which is calculated using Faraday's law of electromagnetic induction.
We are given a coil with 200 turns. The magnetic flux associated with the coil decreases from 1 Weber to 0.5 Weber in 1 second. We need to find the induced electromotive force (emf) between the ends of the coil due to this change.
The Solution:
To find the induced emf, we can use Faraday's law of electromagnetic induction, which states that the induced emf is equal to the rate of change of magnetic flux through the coil.
Step 1: Finding the change in magnetic flux:
The change in magnetic flux (ΔΦ) can be calculated by subtracting the initial flux (Φi) from the final flux (Φf).
ΔΦ = Φf - Φi
ΔΦ = 0.5 Wb - 1 Wb
ΔΦ = -0.5 Wb
Step 2: Finding the rate of change of magnetic flux:
The rate of change of magnetic flux (dΦ/dt) can be calculated by dividing the change in magnetic flux by the time taken (Δt).
dΦ/dt = ΔΦ / Δt
dΦ/dt = -0.5 Wb / 1 s
dΦ/dt = -0.5 Wb/s
Step 3: Finding the induced emf:
Using Faraday's law, we know that the induced emf (ε) is equal to the rate of change of magnetic flux.
ε = -dΦ/dt
ε = -(-0.5 Wb/s)
ε = 0.5 V
Therefore, the induced electromotive force (emf) between the ends of the coil due to the change in magnetic flux is 0.5 Volts.
Conclusion:
The induced emf between the ends of the coil is 0.5 Volts. This emf is generated due to the change in magnetic flux through the coil, which is calculated using Faraday's law of electromagnetic induction.
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Magnetic flux associated with a coil of 200 turns decrease to 0.5 weber from 1 weber in 1 second. find out induced e.m.f. between the ends of coil due to above change. Please give the complete solution not only answer.
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