Exam 3: Electric Potential

A solid conducting sphere of radius r_a is placed concentrically inside a conducting spherical shell of inner radius r_b1 and outer radius r_b2. The inner sphere carries a charge Q while the outer sphere does not carry any net charge. The potential for r $\lt$ r_a is

The potential on the surface of a solid conducting sphere of radius r = 20 cm is 100 V. The potential at r = 10 cm is

The electric field in a region is given by where the units are in V/m. What is the potential from the origin to (x, y) = (2, 2) m?

The voltage between the cathode and the screen of a television set is 22 kV. If we assume a speed of zero for an electron as it leaves the cathode, what is its speed just before it hits the screen?

Calculate the work done to bring a charge, Q = 1 mC, from infinity and place it at a distance R = 10 cm along the axis of a uniformly charged disk with surface charge density $\sigma$ = 10 $\mu$ C/m² and radius R.

Use the following to answer the next question. -The work required to bring a negatively charged body from very far is greatest for point _____.

If the potential V of an array of charges versus the distance from the charges is as shown in graph 1, which graph shows the electric field E as a function of distance r?

The electric potential in a region of space is given by V(x) = 50 V + (15 V/m) x. The electric field in this region is

Use the following figure to answer the next problem. -The electrostatic potential energy of the system of point charges q₁ = 1 µC, q₂ = 2 µC, and q₃ = 3 µC at the corners of the equilateral triangle whose side s = 30 cm is

Two parallel horizontal plates are spaced 0.60 cm apart in air. You introduce an oil droplet of mass 7.4 × 10^-17 kg between the plates. If the droplet carries five electronic charges and if there were no air buoyancy, you could hold the droplet motionless between the plates if you kept the potential difference between them at

An isolated hollow spherical conductor of radius R is carrying a charge of Q. Graph (1) represents the potential V as a function of the distance r from the center of the sphere. The graph that represents the electric field as a function of distance is

A charge of 100 nC resides on the surface of a spherical shell of radius 20 cm. The electric potential at a distance of 15 cm from the center of the spherical shell is

A metal ball of charge +Q is lowered into an insulated, uncharged metal shell and allowed to rest on the bottom of the shell. When the charges reach equilibrium,

Use the following figure to answer the next four problems: -A ring of radius 5 cm is in the yz plane with its center at the origin. The ring carries a uniform charge of 10 nC. The electric potential at x = 12 cm is approximately

Use the following figure to answer the next problem: The electric field versus distance for a charge is plotted above. Use the reference point V = 0 at r $\rightarrow$ infinity. -The potential for r < 1 m is

Use the following to answer the next question: -Which point in the electric field in the diagram is at the highest potential?

The potential at a point due to a unit positive charge is found to be V. If the distance between the charge and the point is tripled, the potential becomes

A solid spherical conductor of radius 15 cm has a charge Q = 6.5 nC on it. A second, initially uncharged, spherical conductor of radius 10 cm is moved toward the first until they touch and is then moved far away from it. How much charge is there on the second sphere after the two spheres have been separated?

The electric potential in a region of space is given by V = 2xy + 3y² in units of V. The electric field, in V/m, in this region is

Correct units for electric potential are