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Q1. A very long non conducting cylinder of diameter 10.0 cm carries charge distributed uniformly over its surface. Each meter of length carries +5.50 C of charge. A proton is released from rest just outside the surface. How far will it be from the surface of the cylinder when its speed has reached 2550 km/s? The mass of the proton is 1.67 x 10^-27 kg and e = 1.60 x 10^-19 C.
Q2. A projectile is fired horizontally from a gun that is 54.0 m above flat ground; emerging from the gun with a speed of 200 m/s. (a) how long does the projectile remain in the air? (b) At what horizontal distance from the firing point does it strike ground? (c) What is the magnitude of the vertical component of its velocity as it strikes ground?
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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