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8. (15 points) A rectangular loop of wire with dimensions 1.5 m by 4.0 m is perpendicular to a uniform magnetic field directed out of page, with half the area of the loop in the field as shown. The wire has a total resistance of 3.2 ?. If the magnitude of the field varies with time according to B = -0.87t + 0.42, with B in Tesla and t in seconds, a) what is the induced emf in the loop? b) What is the magnitude and direction of the induced current in the loop? Write a brief explanation for determining the direction. c) What is the thermal energy produced in an hour? [Hint: P = ?E / ?t] Answers: a) 2.61 V; b) 0.82 A Due to decreasing flux with respect to given direction, Bind will be oriented in the same direction. Using RHR, counter-clockwise current flow generates such Bind. c) ~7.7 kJ

          8. (15 points) A rectangular loop of wire with dimensions 1.5 m by 4.0 m is perpendicular to a uniform magnetic field directed out of page, with half the area of the loop in the field as shown. The wire has a total resistance of 3.2 ?. If the magnitude of the field varies with time according to B = -0.87t + 0.42, with B in Tesla and t in seconds, a) what is the induced emf in the loop? b) What is the magnitude and direction of the induced current in the loop? Write a brief explanation for determining the direction. c) What is the thermal energy produced in an hour? [Hint: P = ?E / ?t]

Answers: a) 2.61 V; b) 0.82 A
Due to decreasing flux with respect to given direction, Bind will be oriented in the same direction. Using RHR, counter-clockwise current flow generates such Bind. c) ~7.7 kJ

8. (15 points) A rectangular loop of wire with dimensions 1.5 m by 4.0 m is perpendicular to a uniform magnetic field directed out of page, with half the area of the loop in the field as shown. The wire has a total resistance of 3.2 ?. If the magnitude of the field varies with time according to B = -0.87t + 0.42, with B in Tesla and t in seconds, a) what is the induced emf in the loop? b) What is the magnitude and direction of the induced current in the loop? Write a brief explanation for determining the direction. c) What is the thermal energy produced in an hour? [Hint: P = ?E / ?t]

Answers: a) 2.61 V; b) 0.82 A
Due to decreasing flux with respect to given direction, Bind will be oriented in the same direction. Using RHR, counter-clockwise current flow generates such Bind. c) 7.7 kJ

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