Charge Q = 5.00 mC is distributed uniformly over the volumeof an insulating sphere that has radius R = 12.0 cm. A small sphere withcharge q = +3.00 mC and mass 6.00 * 10^-5 kg is projected toward thecenter of the large sphere from an initial large distance. The large sphereis held at a fixed position and the small sphere can be treated as a pointcharge. What minimum speed must the small sphere have in order tocome within 8.00 cm of the surface of the large sphere?

Determine the total potential energy stored, in microjoules, in a cylinder of radius 8 m and height 9 m if the electric field inside is given as: E = 15 ax + 15 ay + 11 az V/m Use the permittivity of free space as 8.854 × 10-12 F/m.

15V IDV In the attached pic, equipotential lines with their electric potential values are given 1. Draw the electric field vector at each of the points A, B & C 2. Calculate the change in Electrical Potential Energy when a proton (with positive charge +e) moved from

A particle with charge 1.60 x 10-19 C enters midway between two charged plates, one positive and the other negative. The initial velocity of the particle is parallel to the plates and along the midline between them (see figure below). A potential difference of 500.0 V is maintained between the two charged plates. If the lengths of the plates are 10.0 cm and they are separated by 2.00 cm, find the greatest initial velocity for which the particle will not be able to exit the region between the plates. The mass of the particle is 21.0 x 10-24 kg. (Enter the magnitude.) m/s 10.0 cm m 2.00 cm Need Help? Read It

An electrostatic field is given by E = a(x + y) ex+ a(x+y) ẹy, where a is a constant. Determine the electrostatic potential difference AV between (x, y, z) = (L, L, 0) and the origin.

(27) D3.6. Find the energy stored in free space for the region 2 mm < r < 3 200 mm, 0 < 0 < 90°, 0 < < 90°, given the potential field V =: (a) = - V: r 300 cos @ (b) V. Ans. 46.4 J: 36.7 J

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A positron (charge te, mass m) moves near a charge +3Q. The positron is moving with speed yo point A and moving at an angle so that it goes thru point B. What is the kinetic energy of the positron at point B? Assume that the charge +3Q is so massive that it does not move during this process. 3W OKEI=2 OKE= +3Q mu? O KE= OKE=2 mvå mua 2 mu! OKE= + 2 mud 2 A OKE=2 КЕ mu! - + + 3/10 KQe W 6KQe W 6KQo W W 3√10 KQe W 2KQe W 2KQe W B

A constant potential difference of 20.0 V is maintained between the terminals of a 5.00 µF, parallel plate air capacitor. A sheet of glass having dielectric constant K = 5.00 is then inserted between the plates of the capacitor, completely filling the space between the plates, while the battery remains connected. What is the charge induced on either face of the glass sheet (in µC)?

An electron is projected with an initial speed vi = 3.2 * 105 m/s directly toward a very distant proton that is at rest. Because the proton mass is large relative to the electron mass, assume that the proton remains at rest. By calculating the work done on the electron by the electrostatic force, determine the distance between the two particles when the electron instantaneously has speed 2vi.