Charge is distributed along the entire x axis with uniform density λx and along the entire y axis with uniform density λy .
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Charge is distributed along the entire x axis with uniform density λx and along the entire y axis with uniform density λy .
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- A circular plastic disk with radius R = 2.00 cm has a uniformly distributed charge Q = +(2.00 x 106)e on one face. A circular ring of width 30 µm is centered on that face, with the center of that width at radius r = 0.50 cm. In coulombs, what charge is contained within the width of the ring?A small spherical insulator of mass 3.41 × 10-2 kg and charge +0.600 μC is hung by a thin wire of negligible mass. A charge of -0.900 μC is held 0.150 m away from the sphere and directly to the right of it, so the wire makes an angle θ with the vertical (see the drawing). Find (a) the angle θ and (b) the tension in the wire.A conducting sphere of radius R has an amount of electric charge Q_0 and is brought into contact with a second conducting sphere of radius 3R that initially has no electric charge. Determine the fraction of electric charge Q_0 that the first sphere will have when electrostatic equilibrium is reached.
- a) A charge 4Q is located at x = −2l on the x-axis, and a charge Q is located at x = l on the x-axis. Q > 0. Near the origin, a positive test charge q with mass m undergoes small oscillations along the x-axis. What is the frequency ω of these oscillations? (Remember that if F = ma = −kx, then ω2 = k/m).A ring of radius R that lies in the xy plane carries a positive charge Q uniformly distributed over its lerigth. A particle of mass m that carries a negative charge of magnitude q is at the center of the ring. (a) Show that if x << R, the electric field along the axis of the ring is proportional to z. (b) Find the force on the particle of mass m as a function of z. (c) Show that if m is given a small displacement in the x direction, it will perform simple harmonic motion. Calculate the period of that motion