A coil with 100 turns has a magnetic flux of 0.02 Wb passing through it. If the

A coil with 100 turns has a magnetic flux of 0.02 Wb passing through it. If the flux changes to 0.01 Wb in 2 seconds, what is the induced EMF? (2022)

A coil with 100 turns has a magnetic flux of 0.02 Wb passing through it. If the flux changes to 0.01 Wb in 2 seconds, what is the induced EMF? (2022)

Step 1: Identify the number of turns in the coil, which is 100.
Step 2: Identify the initial magnetic flux (Φ_initial) as 0.02 Wb.
Step 3: Identify the final magnetic flux (Φ_final) as 0.01 Wb.
Step 4: Calculate the change in magnetic flux (ΔΦ) using the formula ΔΦ = Φ_final - Φ_initial.
Step 5: Substitute the values: ΔΦ = 0.01 Wb - 0.02 Wb = -0.01 Wb.
Step 6: Identify the time interval (Δt) over which the change occurs, which is 2 seconds.
Step 7: Use the formula for induced EMF: Induced EMF = -N * (ΔΦ/Δt).
Step 8: Substitute the values into the formula: Induced EMF = -100 * (-0.01 Wb / 2 s).
Step 9: Calculate the value: Induced EMF = -100 * (-0.005) = 0.5 V.

Faraday's Law of Electromagnetic Induction – 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).
Induced EMF Calculation – The formula for induced EMF is given by EMF = -N * (ΔΦ/Δt), where N is the number of turns, ΔΦ is the change in magnetic flux, and Δt is the time interval.