This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Welcome back — missed you this week. 1. Step 1: Convert the velocity from km/hr to m/s. v = 80 km/hr × 1000 m1 km × 1 hr3600 s v = (80000)/(3600) m/s = (800)/(36) m/s = (200)/(9) m/s ≈ 22.22 m/s Step 2: Convert the magnetic field from microtesla to tesla. B = 40 µT = 40 × 10^-6 T Step 3: Calculate the induced EMF using the formula E = B L v. E = (40 × 10^-6 T) × (2 m) × ((200)/(9) m/s) E = 40 × 10^-6 × 2 × 2009 V E = 16000 × 10^-69 V E = (16)/(9) × 10^-3 V E ≈ 1.777 × 10^-3 V E ≈ 1.78 mV The induced EMF is 1.78 mV. 2. Step 1: Identify the initial and final magnetic flux. Initial magnetic flux _1 = 400 µWb. Since the flux is reversed, the final magnetic flux _2 = -400 µWb. Step 2: Calculate the change in magnetic flux . = _2 - _1 = (-400 µWb) - (400 µWb) = -800 µWb = -800 × 10^-6 Wb Step 3: Apply Faraday's Law of Induction, E = -N ( )/( t). Given N = 1200 turns and t = 0.1 s. E = -(1200) × -800 × 10^-6 Wb0.1 s E = (1200) × 800 × 10^-60.1 V E = 1200 × 8000 × 10^-6 V E = 9600000 × 10^-6 V E = 9.6 V The induced EMF is 9.6 V. Send me the next one 📸