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JA circular coil enclosing an area of 100 cm is made of 200 turns of copper wire

ID: 1442307 • Letter: J

Question

JA circular coil enclosing an area of 100 cm is made of 200 turns of copper wire. The wire making up the coil bac resistance of 5.0 , and the ends of the wire are connected to form a closed circuit. Initially, a 1.1-T uniform magnetic ty upward through the plane of the coil. The direction of the field then reverses so tha the final magnetic field has a magnitude of 1.1 T and points downward through the coil. If the time required for the field to reverse directions is 0.10s, what average current flows through the coil during that time? A

Explanation / Answer

The area is A = 100 x 10^-4 m².

The change in magnetic flux is = AB = (100 x 10^-4 m²) x (1.10 T - (- 1.10 T)) = (100 x 10^-4 m²) x (1.10 T + 1.10 T)) = 0.022 Wb

The average induced emf is || = N / t = (200 turns x 0.022 Wb) / (0.100 s) = 44.0 V

The average current is I = / R = 44.0 V / 5.00 = 8.80 A