In the figure what is the net electric potential at the origin due to the circular arc of charge Q1 = +1.42 pC and the two particles of charges Q2 = 3.80Q1 and Q3 = -1.80Q1? The arc's center of curvature is at the origin and its radius is R = 8.00 m; the angle indicated is e = 24.0°.

= Two charged point-like objects are located on the x-axis. The point-like object with charge 9₁ 92 = -2.20 μC is located at X2 = -1.80 cm. (a) Determine the total electric potential (in V) at the origin. V (b) Determine the total electric potential (in V) at the point with coordinates (0, 1.50 cm). V 5.10 μC is located at X₁ = 1.25 cm and the point-like object with charge

Two charges, 9₁-8.4 mC and q2= -59₁, are placed along x axis so that q₁ is at the origin and q2 is at point (31, 0) cm. There are two points along the x-axis where the electric potential is equal to zero. One of these points is between the two charges, the other is on the "outside" of them. What is the x-coordinate of the second point where electric potential is equal to zero? Provide your answer in centimeters, with precision of three significant figures.

Two point charges Q₁ = - -2.92 μC and Q2 = 2.52 µC are shown in the figure. Q₁ is located at (-2.1 cm, 0.0 cm) while Q2 is at (0.0 cm, — 2.6cm)). Use k = 9.0 × 10⁹ Nm²/C² (A) Find the electric potential at the origin. V = (B) If a -2.81 nC charge with a mass of 12.3 g is released from rest at the origin, how fast will it be moving when it is very far away from the charges? V = (C) If a proton is released from rest very far away from the charges shown above, how fast would it be moving at the origin? V =

Two point charges are 1m apart. Q1 = –8µC and Q2 = +5µC. Point P is 0.5m directly above Q2   a) How many electrons are needed to make –8µC of charge? b) What is the magnitude of the electric force between the two charges, and is it attractive or repulsive?  c) What is the electric potential V at point P due to the two charges? (Hint: this is a scalar quantity, no vectors needed.)  What is the magnitude and direction of the electric field E2 from Q2 only at point P?

Four point charges q1 = 2.222µC, q2 = -0.719µC, q3 = 6.687µC, and q4 = -2µC are located at the corners of a square whose side s = 0.315m. The potential (in J/C) at the center of square is...?

In the figure set V = 0 at infinity and let the particles have charges q1 = +q = -5.00×10-5 C and q2 = -5q. They are seperated by d = 50 cm, with q1 located at the origin. Locate any points on the x axis (other that at infinity) at which the net potential due to the two particles in zero. What is the positive position? What is a negative position?

An equilateral triangle with a side of length a has point electric charges q , 2q and 3q, respectively, at its vertices. Calculate the electric field and electric potential at the center of the equilateral triangle in terms of Coulomb's constants, a and q.