Exam 20: Electric Potential and Capacitance

Two charges lie on the x axis,+2q at the origin,and -3q at x = 5.0 m.The point on the x axis where the electric potential has a zero value (when the value at infinity is also zero)is

Particle A (mass = m,charge = Q)and B (mass = m,charge = 5 Q)are released from rest with the distance between them equal to 1.0 m.If Q = 12 $\mu$ C,what is the kinetic energy of particle B at the instant when the particles are 3.0 m apart?

What is the speed of a proton that has been accelerated from rest through a potential difference of 4.0 kV?

Identical point charges (+50 $\pm$ C)are placed at the corners of a square with sides of 2.0-m length.How much external energy is required to bring a fifth identical charge from infinity to the geometric center of the square?

The electric potential inside a charged solid spherical conductor in equilibrium

Determine the equivalent capacitance of the combination shown when C = 24 $\mu$ F.

Identical 4.0- $\pm$ C charges are placed on the y axis at y = $\pm$ 4.0 m.Point A is on the x axis at x = +3.0 m.Determine the electric potential of point A (relative to zero at the origin).

The gap between electrodes in a spark plug is 0.06 cm.In order to produce an electric spark in a gasoline-air mixture,the electric field must reach a value of 3 *10⁶ V/m.What minimum voltage must be supplied by the ignition circuit when starting the car?

Two charges lie on the x axis,+3q at the origin,and -2q at x = 5.0 m.The point on the x axis where the electric potential has a zero value (when the value at infinity is also zero)is

Four identical point charges (+6.0 nC)are placed at the corners of a rectangle which measures 6.0 m * 8.0 m.If the electric potential is taken to be zero at infinity,what is the potential at the geometric center of this rectangle?

A nonuniform linear charge distribution given by $\lambda$ (x)= bx,where b is a constant,is distributed along the x axis from x = 0 to x = +L.If b = 40 nC/m² and L = 0.20 m,what is the electric potential (relative to a potential of zero at infinity)at the point y = 2L on the y axis?

A solid conducting sphere (radius = 5.0 cm)has a charge of 0.25 nC distributed uniformly on its surface.If point A is located at the center of the sphere and point B is 15 cm from the center,what is the magnitude of the electric potential difference between these two points?

Two identical particles,each with a mass of 2.0 $\mu$ g and a charge of 25 nC,are released simultaneously from rest when the two are 4.0 cm apart.What is the speed of either particle at the instant when the two are separated by 10 cm?

A particle (m = 2.0 $\mu$ g,q = -5.0 $\mu$ C)has a speed of 30 m/s at point A and moves (with only electric forces acting on it)to point B where its speed is 80 m/s.Determine the electric potential difference V_A - V_B.

A series of n uncharged concentric spherical conducting shells surround a small central charge q.The potential at a point outside the nth shell,at distance r from the center,and relative to V = 0 at $\infty$ ,is

Determine the equivalent capacitance of the combination shown when C = 45 $\mu$ F.

Two large parallel conducting plates are 8.0 cm apart and carry equal but opposite charges on their facing surfaces.The magnitude of the surface charge density on either of the facing surfaces is 2.0 nC/m².Determine the magnitude of the electric potential difference between the plates.

When a charged particle is moved along an electric field line,

A 200-volt battery is connected to a 0.50-microfarad parallel-plate,air-filled capacitor.Now the battery is disconnected,with care taken not to discharge the plates.Some Pyrex glass is then inserted between the plates,completely filling up the space.What is the final potential difference between the plates? (The dielectric constant for Pyrex is $\kappa$ = 5.6. )

Four electrons move from point A to point B in a uniform electric field as shown below.Rank the electrons in diagrams I through IV by the changes in potential from most positive to most negative when traveling from A to B.