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1) A particle of charge +2.56 x 10-6 C is 12.4 cm distant from a second particle of charge -1.55 x 10-6 C. Calculate the magnitude of the electrostatic force between the particles.
2) Two equally charged particles, held 4.1 x 10-3 m apart, are released from rest. The initial acceleration of the first particle is observed to be 6.7 m/s2 and that of the second to be 13 m/s2. If the mass of the first particle is 6.7 x 10-7 kg, what are
(a) the mass of the second particle and
(b) the magnitude of the charge (in C) of each particle?
3) Three particles are fixed on an x axis. Particle 1 of charge q1 is at x = -a and particle 2 of charge q2 is at x = +a. If their net electrostatic force on particle 3 of charge Q is to be zero, what must be the ratio q1/q2 when particle 3 is at (a) x = +0.722a and (b) x = +1.87a?
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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