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Q1.A square coil of wire with 15 turns and an area of 0.40 m2 are placed parallel to a magnetic field of 0.75 T. The coil is flipped so its plane is vertical to the magnetic field in 0.050 s. What is the magnitude of the average induced emf?
Q2. A constant torque of 25.0 N · m is applied to a grindstone whose moment of inertia is 0.130 kg · m2. Using energy principles and neglecting friction, find out the angular speed after the grindstone has made 15.0 revolutions. (Hint: The angular equivalent of Wnet = FΔx = 1/2 mvf2 - 1/2 mvi2 is Wnet = τΔθ = 1/2 Iωf2 - 1/2 Iωi2. You must convince yourself that this relationship is correct.)
Q3. An ocean liner leaves New York City and travels 36.0° north of east for 112 km. How distant east and how far north has it gone? In other words, what are the magnitudes of the components of the ship's displacement vector in following directions?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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