A certain distance from a point charge, the magnitude of the electric field is 500 V/m and thee electric potential is – 3.0 kV (kilovolt). (a) What is the distance to the charge? (b) What is the magnitude of the charge?

Two charges –q and +q are located at points (0, 0, –a) and (0, 0, a),respectively.(a) What is the electrostatic potential at the points (0, 0, z) and (x, y, 0) ?(b) Obtain the dependence of potential on the distance r of a point from the origin when r/a >> 1.(c) How much work is done in moving a small test charge from the point (5,0,0) to (–7,0,0) along the x-axis? Does the answer change if the path of the test charge between the same points is not along the x-axis?

A small object has a charge of q = 2e, where e is the charge on an electron. (a) Determine the electric potential (in V) due to the charge at a distance r = 0.360 cm from the charge. V (b) Determine the electric potential difference (in V) between a point that is 2r away and this point, that is V(2r) - V(r). V (c) Determine the electric potential difference (in V) between a point that is 2 V (d) How would the answe swers change if the electrons are replaced by protons? The sign of answer (a) would change. The sign of answer (b) would change. The sign of answer (c) would change. The sign of all answers would change. All answers would remain the same. ✓(7) – v(r). - away and this point, that is V

(a) Calculate the electric potential 0.160 cm from an electron. (b) What is the magnitude of the electric potential difference between two points that are 0.160 cm and 0.710 cm from an electron? V. (c) How would the answers change if the electron were replaced with a proton? O The sign of answer (a) would change. O The sign of answer (b) would change. O The sign of both answers would change. Both answers would remain the same.

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An electric point charge +q is placed at the point (1, 1) ofthe xy-plane in which two grounded semi-infinite conducting plates along the positive x and y-axes meet see figure). The electric potential in the positive quadrant at a large distance r goes as (a) V (r) ~ r- (b) V (r) ~ r² (c) v (r)~r³ (d) V (r) ~ r-

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A point charge of 9.2 mC is at the origin. What is the electric potential at (a) 13.0 m, 02; (b) 1-3.0 m, 02; and (c) 13.0 m, -3.0 m2?

A small object has a charge of q = 4e, where e is the charge on an electron. (A) Determine the electric potential (in V) due to the charge at a distance r = 0.290 cm from the charge.                                                                                   (B) Determine the electric potential difference (in V) between a point that is 4r away and this point, that is V(4r) − V(r).                                                            (C) Determine the electric potential difference (in V) between a point that is (r/4) away and this point, that is V(r/4)-V(r).                                                    (D) How would the answers change if the electrons are replaced by protons?

+Q HF (a) Determine the electric potential difference, AV, across a capacitor with plates of area, A, separation, d, and charge, +Q and -Q. (b) Calculate the electric field in between the two plates. (c) Assuming the negative plate is at zero electric potential, calculate the electric potential, V at the midpoint between the plates.