A circular plastic disk with radius R = 4.23 cm has a uniformly distributed charge Q = +(1.79 x106)e on one face. A circular ring of width 29.1 um is centered on that face, with the center of that width at radius r = 0.706 cm. In coulombs, what charge is contained within the width of the ring?
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- A square with a side length Lis placed in the xz plane as in the figure. Four + q charges are placed at the corners of this square. Calculate the electrical force acting on the -Q charge at the point P on the y-axis passing through the center of the square. y 1/2 /2In the figure an electron (e) is to be released from rest on the central axis of a uniformly charged disk of radius R. The surface charge density on the disk is +4.12 µC/m?. What is the magnitude of the electron's initial acceleration - m/s² if it is released at a distance R/148 from the center of the disk? 10. e (a) 3.07x1015 (b) 2.08x1015 (c) 4.52x1015 (d) 5.16x1015 (e) None of the aboveA very long uniform line of charge with charge per unit length λ = +5.00 μC/m lies along the xx-axis, with its midpoint at the origin. A very large uniform sheet of charge is parallel to the xy-plane; the center of the sheet is at z = +0.600 m. The sheet has charge per unit area σ = +8.00 μC/m2, and the center of the sheet is at x=0, y=0. Point A is on the z-axis at z = +0.300 m, and point B is on the z-axis at z = -0.200 m.What is the potential difference VAB=VA−VB between points A and B?
- A very long uniform line of charge with charge per unit length λ = +5.00 μC/m lies along the x-axis, with its midpoint at the origin. A very large uniform sheet of charge is parallel to the xy-plane; the center of the sheet is at z = +0.600 m. The sheet has charge per unit area σ = +8.00 μC/m2, and the center of the sheet is at x=0, y=0. Point A is on the z-axis at z = +0.300 m, and point B is on the z-axis at z = -0.200 m. 1) What is the potential difference VAB=VA−VB between points A and B? 2) Which point, A or B, is at higher potential?A charged sphere in static equilibrium is resting on a horizontal surface. Directly above it is another charged sphere (also in static equilibrium) that is hanging from a string. The 4 kg red sphere has more charge than the 41 kg green sphere. The total charge magnitude on the spheres is 268 µC & they have the same polarity. As a result the tension is 114 N & the centers of the spheres are 0.74 m apart. Determine the charge magnitude on each sphere. Qred (bigger charge) =Qgreen (smaller charge) =A 9-g charged plastic sphere charged to 85 µC is on top of a plastic spring with spring constant k = 400 N/m, which has a relaxed length of 10 cm. You then place another charged object 1 cm above (not touching) the sphere. Now, the spring is 9.5 cm long. Find the charge on the new second object. take into consideration mass of ball.
- Three uniform charge distributions are present in a region: an infinite sheet of charge, a finite line charge, and a ring of charge. The infinite sheet of charge at (x, -3, z), where x and z spans from negative to positive infinity, has a charge density ps = 5 nC/m². The finite line charge at (0, -1, z), where z ranges from -2 to 2, has a charge density PL = -4 nC/m. Finally, the ring of charge, with a radius of 3m and charge density PL = 2 nC/m, is parallel to the xz-plane centered at (0, 4, 0). All coordinates are in meters. Use the value k = 9 x 10⁹ in your solutions and - answers. Determine the magnitude of the electric field due to the ring of charge only at (0, 2, 0). (4 Decimal places)A small particle with mass m = 1.75 g charge q is tied to a very light string of length L = 50.0 cm that is attached to a very long vertical wire that carries a linear charge density of λ = – 2.50 mC/m. The string makes an angle of 10.0o with the wire. What is the charge on the particle? Give they answer in nC the answer should be negativeA sphere of uniform charge density rho=10^−6 C/m 3 has a small hole drilled along its diameter, forming a tunnel from one end of the sphere to the other. An electron is released at the opening of the tunnel and begins to move, speeding up towards the center of sphere. After it passes the center of the sphere, it begins to slow down until it reaches the other end of the tunnel and stops. The electron then moves back up to the first opening and start the cycle again. It repeats this cycle many times. Find the frequency of this cyclic motion.