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In the figure below, two parallel-plate capacitors A and B are connected in parallel across a 600 V battery. Each plate has area 70.0 cm2; the plate separations are 3.30mm. Capacitor A is filled with air; capacitor B is filled with a dielectric of dielectric constant ? = 2.80.
(a) Find the magnitude of the electric field within the dielectric of capacitor B.
(b) Find the magnitude of the electric field within the air of capacitor A.
(c) What is the free charge density ? on the higher-potential plate of capacitor A?
(d) What is the free charge density ? on the higher-potential plate of capacitor B?
(e) What is the induced charge density ?' on the top surface of the dielectric?
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Make a drawing of this situation, and choose the best axes for x and y so that you have the least number of components.)
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A toy train is pushed forward and released at x_0 = 2m with a speed of 2m/s. It rolls at a steady speed for 2s, and then one wheel begins to stick. The train comes to a stop 6m from the point at which it was released. What is the magnitude of trai..
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