⚡ Average EMF Induced in a Square Loop
📘 Question:
A square loop of wire with side length 0.25 m lies in a plane perpendicular to a uniform magnetic field of strength 0.35 T. The magnetic field is suddenly reduced to zero in 0.120 seconds. What is the average emf induced in the loop?
✅ Step-by-Step Explanation:
🔹 Step 1: Given Data
- Side length of square: 0.25 m
- Magnetic field: 0.35 T → 0 T
- Time interval: 0.120 s
🔹 Step 2: Calculate Area of the Loop
A = s² = (0.25 m)² = 0.0625 m²
🔹 Step 3: Compute Change in Magnetic Flux (Φ)
Φinitial = B × A = 0.35 T × 0.0625 m² = 0.021875 Wb
Φfinal = 0 → ΔΦ = 0.021875 Wb
Φfinal = 0 → ΔΦ = 0.021875 Wb
🔹 Step 4: Use Faraday’s Law to Find EMF
EMFavg = ΔΦ / Δt = 0.021875 Wb / 0.120 s = 0.182 V
🎯 Final Answer:
The average induced EMF is 0.182 V.