A small spherical pith ball of radius 0.50 cm is painted with a silver paint and then −10 μC of charge is placed on it. The charged pith ball is put at the center of a gold spherical shell of inner radius 2.0 cm and outer radius 2.2 cm. (a) Find the electric potential of the gold shell with respect to zero potential at infinity. (b) How much charge should you put on the gold shell if you want to make its potential 100 V?

A long cylindrical insulating shell has an inner radius of a=1.41 m and an outer radius of b=1.6 m. The shell has a constant charge density of 3.5×10−9 C/m3. The picture shows an end-on cross-section of the cylindrical shell. If we take the potential at the axis to be zero, what is the electric potential at the outer radius of the shell?

A rod of length L is lying on x-axis with left end at the origin and has a non-uniformly linear charge density of . = 5x. 22. find the electric potential V at A(-4, 0) kdz d2 = adx Hint: dv= (-4,0) ++t 4 ++tl え A

A semicircle of radius R has charge lining its outer edge, with a charge +q uniformly distributed on one half and a charge -q uniformly distributed on the other half. The point P is located at the center of circle that describes this semicircle. At point P, find (a) the electric field. (b) the electric potential.

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A plastic rod has been bent into a circle of radius R = 5.03 cm. It has a charge Q, = +7.42 pC uniformly distributed along one-quarter of its circumference and a charge Q, distributed along the rest of the circumference (see the figure). With V = 0 at infinity, what is the electric potential (a) at the center C of the circle and (b) at point P, which is on the central axis of the circle at distance D = 6.91 cm from the center? -6Q1 uniformly P, Q2 R (a) Number Units (b) Number Units Click if you would lik

A spherical conductor whose center is at point O and radius R = 20 cm, is given a charge Q = + 100 μC a. Calculate the electric potential at points A and B if the distance OA = 30 cm and the distance OB = 45 cm. b. How much work is required to move an electron from point A to point B?

A positive charge is evenly distributed on the surface of a metal sphere centered at the origin of the coordinate system. The positive charge produces an electric field that points outwardly in the radial direction. A positive test charge is fixed at a distance R₁ from the center of the coordinate system, far from the surface of the sphere. The electric potential at R₁ is 10V. The positive test charge is then allowed to move freely until it reaches a distance R₂=2R₁ from the center of the coordinate system. What is the electric potential (in Volts) of the test charge at its new resting point? 10

Three particles with equal positive charges q are at the corners of an equilateral triangle of side a as shown in the figure below. + 9 a a V = 9 a 9 Q (a) At what point, if any, in the plane of the particles is the electric potential zero? at the center of the triangle midway between any two charges The electric potential is not zero at any point. (b) What is the electric potential at the position of one of the particles due to the other two particles in the triangle? (Use any variable or symbol stated above along with the following as necessary: k.)

Consider two separate systems with four charges of the same magnitude q = 17 µC arranged in the vertexes of a square of length h = 20 cm, see the picture below. Calculate the electric potential at the center of the square (points A and C) and at the middle of the bottom side of the square (points B and D). y y q h q h A. B The potential at point A, VA = The potential at point B, VB = The potential at point C, Vc = = The potential at point D, VĎ : q q X Units V Units V Units V Units V Units J q Units J F h C c. Ꭰ How much work is required to move a -38 µC charge from point A to point B? The work required, Wä→ß = How much work is required to move a -38 µC charge from point C to point D? The work required, Wc→D = ✓✓. ✓✓. q -q O X