Concept explainers
The electric power in the circuit at
Answer to Problem 78PQ
The electric power in the circuit at
Explanation of Solution
Write the expression for the induced emf.
Here,
Write the expression for the magnetic flux.
Here,
Write the expression for the electric power.
Here,
Substitute
Substitute
Here,
Differentiate the above equation with respect to time.
Conclusion:
Substitute
Substitute
Therefore, the electric power in the circuit at
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Chapter 32 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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- A flat loop of wire consisting of a single turn of cross-sectional area 8.00 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.50 T in 1.00 s. What is the resulting induced current if the loop has a resistance of 2.00 ?arrow_forwardReview. Figure P31.31 shows a bar of mass m that can slide without friction on a pair of rails separated by a distance and located on an inclined plane that makes an angle with respect to the ground. The resistance of the resistor is R. and a uniform magnetic field of magnitude H is directed downward, perpendicular to the ground, over the entire region through which the bar moves. With what constant speed v does the bar slide along the rails?arrow_forwardYou wish to move a rectangular loop of wire into a region of uniform magnetic field at a given speed so as to induce an emf in the loop. The plane of the loop must remain perpendicular to the magnetic field lines. In which orientation should you hold the loop while you move it into the region of magnetic field so as to generate the largest emf? (a) with the long dimension of the loop parallel to the velocity vector (b) with the short dimension of the loop parallel to the velocity vector (c) either way because the emf is the same regardless of orientationarrow_forward
- A thin conducting bar (60.0 cm long) aligned in the positive y direction is moving with velocity v=(1.25m/s)i in a region with a spatially uniform 0.400-T magnetic field directed at an angle of 36.0 above the xy plane. a. What is the magnitude of the emf induced along the length of the moving bar? b. Which end of the bar is positively charged?arrow_forwardA constant magnetic field of 0.275 T points through a circular loop of wire with radius 3.50 cm as shown in Figure P32.1. a. What is the magnetic flux through the loop? b. Is a current induced in the loop? Explain. FIGURE P32.1arrow_forward
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