Physics 2: Electric Forces and Fields

Two metal spheres are charged, q$_1$ = 6Q and q$_2$ = -2Q, and are separated by a distance d. The attractive force between these two spheres is 20 N. The metal spheres are then brought together so they are touching, and then separated again a distance d. What is the new charge on the metal spheres and what is the new force between them?

Two objects, whose charges are +3 nC and -2 nC, are separated by 1.0 mm. Find the magnitude of the attractive force that either charge exerts on the other.

A 100 g ball carries a charge of +0.1 C and is placed in an uniform electric field, E = 10 N/C. Find the acceleration of the ball.

An uncharged metal sphere is place in a uniform electric field as shown below. Which way will the sphere be pushed? Explain.

A +12 nC charge is distributed uniformly along the y-axis from y = 0 to y = 4.0 m. What is the x-competent of the electric field at x = 2.0 m on the x-axis? (this type of problem may not be covered in algebra based physics courses)

A +1 nC charge is placed at the origin, < 0 , 0 > . Find the electric field at point x = < 0.2 , -0.4 > (this type of problem may not be covered in algebra based physics courses)

Two point charges are attached by a weightless pole and placed into an electric field, as shown below. Find the torque due to the electric field, E = 4 N/C.

What electric field (magnitude and direction) is needed to levitate a proton?m$_p$ = 1.67 x 10$^{-27}$ kg

Point A is a distance d = 0.5 m from the center of a charged rod. The rod has a charge of + 1 nC and is X = 4 m long. Find the electric field at point A.

The rod below is 1.4 m long and carries a charge of -8 x 10$^{-8}$. Point A is 0.7 m from the center of the rod. Find the electric field at point A due to the bottom 1/8th of the rod, colored blue below.

A disk with radius R = 0.4 m carries a +4 $\mu$C. Find the electric field at point X, a distance of 0.001 m from the center of the disk.

Below are two charged spheres separated by a distance, X = 0.1 m from center to center. The sphere on the left carries a charge of 10 nC and has a radius 0.01 m. The sphere on the right carries a charge of -2 nC. Find the electric field at point A, which is 0.005 m from the center of the large sphere.

A very long cylindrical insulator with a radius of 30 cm has a volumetric charge density of -80 $\frac{nC}{m^2}$. What is the volume of the electric field a distance of 10 cm away from the center? 30 cm from the center? 50 cm from the center?

Use Gauss's law to find the electric field around a conducting sphere of radius R, both within and outside the sphere. That is for a distance rR. (this is a calculus based derivation)