Exam 19: Electric Forces and Electric Fields

Each 2.0-m length of a long cylinder (radius = 4.0 mm)has a charge of 4.0 nC distributed uniformly throughout its volume.What is the magnitude of the electric field at a point 5.0 mm from the axis of the cylinder?

A 16-nC charge is distributed uniformly along the x axis from x = 0 to x = 4 m.Which of the following integrals is correct for the magnitude (in N/C)of the electric field at x = +10 m on the x axis?

A positively charged particle is moving in the +y-direction when it enters a region with a uniform electric field pointing in the +x-direction.Which of the diagrams below shows its path while it is in the region where the electric field exists.The region with the field is the region between the plates bounding each figure.The field lines always point to the right.The x-direction is to the right;the y-direction is up.

A spherical conductor (radius = 1.0 cm)with a charge of 2.0 pC is within a concentric hollow spherical conductor (inner radius = 3.0 cm,outer radius = 4.0 cm)which has a total charge of -3.0 pC.What is the magnitude of the electric field 2.0 cm from the center of these conductors?

The total electric flux through a closed cylindrical (length = 1.2 m,diameter = 0.20 m)surface is equal to-5.0 N . m²/C.Determine the net charge within the cylinder.

A point charge of 6.0 nC is placed at the center of a hollow spherical conductor (inner radius = 1.0 cm,outer radius = 2.0 cm)which has a net charge of -4.0 nC.Determine the resulting charge density on the inner surface of the conducting sphere.

Charge of uniform surface density (0.20 nC/m²)is distributed over the entire xy plane.Determine the magnitude of the electric field at any point having z = 2.0 m.

When gravitational,magnetic and any forces other than static electric forces are not present,electric field lines in the space surrounding a charge distribution show

The electric field just outside the surface of a hollow conducting sphere of radius 20 cm has a magnitude of 500 N/C and is directed outward.An unknown charge Q is introduced into the center of the sphere and it is noted that the electric field is still directed outward but has decreased to 100 N/C.What is the magnitude of the charge Q?

A particle (mass = 4.0 g,charge = 80 mC)moves in a region of space where the electric field is uniform and is given by E_x =-2.5 N/C,E_y = E_z = 0.If the velocity of the particle at t = 0 is given by v_x = 80 m/s,v_y = v_z = 0,what is the speed of the particle at t = 2.0 s?

You are told that $\oint \overrightarrow { \mathbf { E } } \cdot d \overrightarrow { \mathbf { A } }$ summed over both the surface areas of sphere A and sphere B below totals to $\frac { - Q } { \varepsilon _ { 0 } }$ .You can conclude that

A long cylinder (radius = 3.0 cm)is filled with a nonconducting material which carries a uniform charge density of 1.3 $\mu$ C/m³.Determine the electric flux through a spherical surface (radius = 2.0 cm)which has a point on the axis of the cylinder as its center.

The symbol $\frac { 1 } { 4 \pi \varepsilon _ { 0 } }$ appears in Coulomb's law because we use independently defined units for

A uniform charge density of 500 nC/m³ is distributed throughout a spherical volume (radius = 16 cm).Consider a cubical (4.0 cm along the edge)surface completely inside the sphere.Determine the electric flux through this surface.

If Q = 80 nC,a = 3.0 m,and b = 4.0 m in the figure,what is the magnitude of the electric field at point P?

Two concentric imaginary spherical surfaces of radius R and 2R respectively surround a positive point charge -Q located at the center of the surfaces.When compared to the electric flux $\phi$ ₁ through the surface of radius R,the electric flux $\phi$ ₂ through the surface of radius 2R is

A uniform linear charge of 2.0 nC/m is distributed along the x axis from x = 0 to x = 3 m.Which of the following integrals is correct for the y component of the electric field at y = 4 m on the y axis?

Three infinite planes of charge,A,B and C,are vertical and parallel to one another.There is a uniform electric field $\overrightarrow { \mathbf { E } } _ { \mathrm { I } }$ to the left of plane A and a uniform electric field $\overrightarrow { \mathbf { E } } _ { \text {II } }$ to the right of plane C.The field $\overrightarrow { \mathbf { E } } _ { \mathrm { I } }$ points to the left and the field $\overrightarrow { \mathbf { E } } _ { \text {II } }$ points to the right.The signs of the charges on plates A,B and C may be

A particle (q = 3.0 mC,m = 20 g)has a speed of 20 m/s when it enters a region where the electric field has a constant magnitude of 80 N/C and a direction which is the same as the velocity of the particle.What is the speed of the particle 3.0 s after it enters this region?

A small metal sphere is suspended from the conducting cover of a conducting metal ice bucket by a non-conducting thread.The sphere is given a negative charge before the cover is placed on the bucket.The bucket is tilted by means of a non-conducting material so that the charged sphere touches the inside of the bucket.Which statement is correct?