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
Step 1: The magnitude of the induced emf E in the N-turn coil is given by Faraday's law, where the magnetic flux changes due to the area leaving the field: E = N B l v Here, N = 100 (dimensionless turns), B = 0.2 T (tesla), l = 10 cm = 0.10 m (length of side perpendicular to v), v = 0.5 m/s (speed). Step 2: Substitute the values into the formula: E = 100 × 0.2 \, T × 0.10 \, m × 0.5 \, m/s Step 3: Simplify step-by-step: 0.2 × 0.10 = 0.02 \, T · m 0.02 × 0.5 = 0.01 \, T · m^2/s 100 × 0.01 = 1 \, V So, the induced emf is E = 1 V. Step 4: The magnitude of the induced current I in the loop is given by Ohm's law: I = ER Here, R = 0.1 \, (ohms). Step 5: Substitute the values: I = 1 \, V0.1 \, Step 6: Simplify: I = 10 \, A Induced emf = 1 V, induced current = 10 A.