If the magnetic flux through a coil changes from 0.2 Wb to 0.5 Wb in 2 seconds,
Practice Questions
Q1
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)
150 V
100 V
75 V
50 V
Questions & Step-by-Step Solutions
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)
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.
Faraday's Law of Electromagnetic Induction – This law states that a change in magnetic flux through a coil induces an electromotive force (EMF) in the coil.
Average Induced EMF Calculation – The average induced EMF can be calculated using the formula EMF = -ΔΦ/Δt, where ΔΦ is the change in magnetic flux and Δt is the time interval.
