⚡ Average EMF Induced in a Circular Loop
📘 Question:
A circular loop of radius 12 cm is placed perpendicular to a magnetic field. The field increases from 0.2 T to 0.6 T in 0.30 seconds. What is the average emf induced in the loop?
✅ Step-by-Step Explanation:
🔹 Step 1: Given Values
- Radius = 0.12 m
- Initial B = 0.2 T
- Final B = 0.6 T
- Time = 0.30 s
- Turns = 1
🔹 Step 2: Area of the Loop
A = πr² = π × (0.12)² = 0.0452 m²
🔹 Step 3: Change in Magnetic Flux
ΔΦ = (Bf – Bi) × A = (0.6 – 0.2) × 0.0452 = 0.01808 Wb
🔹 Step 4: Faraday’s Law
EMFavg = (N × ΔΦ) / Δt = (1 × 0.01808) / 0.30 = 0.0603 V
🎯 Final Answer:
The average induced EMF is 0.0603 V.