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? (2021)

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Q: 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? (2021)

Solution: Average induced EMF = -ΔΦ/Δt = -(0.5 Wb - 0.2 Wb) / 2 s = -0.15 Wb/s = 150 V.

Steps: 9

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) by subtracting the initial flux from the final flux: ΔΦ = Φ_final - Φ_initial = 0.5 Wb - 0.2 Wb.
Step 4: Calculate ΔΦ: ΔΦ = 0.3 Wb.
Step 5: Identify the time interval (Δt) which is 2 seconds.
Step 6: Use the formula for average induced EMF: Average induced EMF = -ΔΦ/Δt.
Step 7: Substitute the values into the formula: Average induced EMF = -0.3 Wb / 2 s.
Step 8: Calculate the average induced EMF: Average induced EMF = -0.15 Wb/s.
Step 9: Convert Wb/s to volts (1 Wb/s = 1 V): Average induced EMF = 150 V.