4. The diagram below shows a U-shaped conductor in a uniform magnetic field of magnitude B perpendicular to the plane of

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4 The Diagram Below Shows A U Shaped Conductor In A Uniform Magnetic Field Of Magnitude B Perpendicular To The Plane Of 1 (75.15 KiB) Viewed 34 times

4. The diagram below shows a U-shaped conductor in a uniform magnetic field of magnitude B perpendicular to the plane of the figure and directed into the page. We lay a metal rod (the "slidewire") with length d across the two arms of the conductor, forming a circuit, and move it to the right with constant speed v. This induces an emf and a current, which is why this device is called a slidewire generator. (a) 2 points Use Faraday's law to find the magnitude of the induced emf assuming the magnetic field and conductor continue indefinitely. (b) 3 points Assurne the rod and the conductor both have a cross-sectional area A and are made out the same material with resistance p. What is the current that flows through the circuit as a function of time assuming at time t=0 the circuit forms a square? State the formula for I(t) and sketch I(t). (Hint: explicitly calculate the total length of the circuit L(t) and thus its total resistance R(t) as a function of time.] () 1 point Use Lenz's law to determine the direction of the current. a) 3 points You notice that the force F(t) with which you have to push the rod changes as a function of time. What is the power that you have to deliver to move the rod with constant speed y at a given moment of time I given that you are pushing with a force F(t)? Is that mechanical power larger, smaller, or equal to the electric power dissipated in the circuit? Justify your answer in terms of energy conservation assuming the mechanical friction is negligible. Is the force with which you are pushing increasing or decreasing? (e) I point Comment on the practicality of such a device to generate electricity. X X X X X X X XIX X || X X XX X X X X X X X X X X X X X X X X X