If the magnetic flux through a coil changes from 0.2 Wb to 0.5 Wb in 2 seconds,

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Question: If the magnetic flux through a coil changes from 0.2 Wb to 0.5 Wb in 2 seconds, what is the average induced EMF in the coil? (2021)

Options:

Correct Answer: 100 V

Exam Year: 2021

Solution:

Average induced EMF (ε) = -ΔΦ/Δt = -(0.5 Wb - 0.2 Wb) / 2 s = -0.3 Wb / 2 s = -0.15 V. The absolute value is 0.15 V or 150 mV.

If the magnetic flux through a coil changes from 0.2 Wb to 0.5 Wb in 2 seconds, what is the average induced EMF in the coil? (2021)

If the magnetic flux through a coil changes from 0.2 Wb to 0.5 Wb in 2 seconds, what is the average induced EMF in the coil? (2021)

Step 1: Identify the initial magnetic flux (Φ_initial) which is 0.2 Wb.
Step 2: Identify the final magnetic flux (Φ_final) which is 0.5 Wb.
Step 3: Calculate the change in magnetic flux (ΔΦ) using the formula ΔΦ = Φ_final - Φ_initial.
Step 4: Substitute the values: ΔΦ = 0.5 Wb - 0.2 Wb = 0.3 Wb.
Step 5: Identify the time interval (Δt) which is 2 seconds.
Step 6: Use the formula for average induced EMF (ε): ε = -ΔΦ / Δt.
Step 7: Substitute the values: ε = -0.3 Wb / 2 s.
Step 8: Calculate the average induced EMF: ε = -0.15 V.
Step 9: The absolute value of the average induced EMF is 0.15 V or 150 mV.

Faraday's Law of Electromagnetic Induction – This law states that the induced EMF in a coil is proportional to the rate of change of magnetic flux through the coil.
Magnetic Flux – Magnetic flux is the product of the magnetic field and the area through which it passes, measured in Webers (Wb).
Average Induced EMF – The average induced EMF can be calculated using the formula ε = -ΔΦ/Δt, where ΔΦ is the change in magnetic flux and Δt is the change in time.