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Solved problems for the chapter:

Electric Force between Point Charges

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Forces in an Electric field - Coulomb's Law

1. Coulomb's law

2. Forum

↓ Show theory [1] ↓

Detailed solution steps are available at:

https://en.openprof.com/wb/chapter:electric_force_between_point_charges/4399/

Example 1.

Two charges and are attracted by an electric force of 0.1 N. By how much are they spaced?

The permittivity of free space is given as .

Example 2.

Two charges and are placed in a coordinate system. The coordinates of the first and second charges are and . respectively. Calculate the electric force between the charges.

The permittivity of free space is given as .

A ball with a mass of 200 g is attached to a string. It has a charge of . Another ball, which has the same charge quantity, is placed 10 cm below it. Calculate the force in the string.

Two charge quantities and are placed 60 cm apart. Where between them must the third charge be in order for the resultant of the electric forces acting on it to be equal to 0?

Two identical metal balls, each with a mass of 10 g, hang from strings 60 cm long and touch each other. The balls are charged so that they bounce off each other. The angle between the cords is now . What is the charge quantity on each ball?

Four charge quantities , , , lie at the vertices of a square of a side length 40 cm. Calculate the electric force acting on the charge .

A charge at a distance of 3 m from a point charge experiences the electric field strength of 120 N/C. The permittivity of free space constant . What is the quantity of the charge?

A large horizontal plate is charged with a plane charge density . A ball weighing 0.5 g hovers above the plate. What is the charge of the ball?

A positively charged large flat plate has a plane charge density . At a distance of 1 m from the plate is a charge of 12 mC. How much electric force acts on the charge?

10.

A spherical metal ball with a radius of 16 cm is evenly charged with a charge of . Calculate the electric field strength at a:

distance of 8 cm from the center of the metal ball?
distance of 8 cm away from the surface of the metal ball?

11.

A ball weighing 100 g hangs on a 60 cm long string attached to the top of a vertical surface. The surface is charged with a surface charge density . The ball is charged with a charge of . How far does it move away from the vertical wall?

12.

Two thin metal plates each with a surface area lie perpendicular to the lines of a homogeneous electric field of strength . The plates are initially stacked, then spaced apart, and pulled out of the box. What is the affected charge on each plate?

13.

A storm cloud contains a charge of +40 C on the lower layer and -40 C on the upper layer. With what electric force are both cloud layers attracted? The surface area of each of the layers is .

14.

At a distance of 60 cm from a point charge, the electric field strength is 20 N/C. What is the electric field strength at a distance of 2.0 m from the point charge?

15.

Electric charges and are 1.4 m apart.

Calculate the electric field strength at the middle of the two charges?
Calculate the electric field strength of the charges at a point on their symmetrical plane, 0.7m above their conjunction?

16.

On the corners of a square with a side length of 10 cm are equally charged charges . The bottom two are positive and the top two are negative. Calculate the strength of the electric field in the middle of the square.

17.

A metal ball is charged with charge. The surface charge density is . What is the radius of the metal ball?

18.

Calculate the electric force on a charge at the point where the electric field strength is .

19.

In space, there are three concentric spherical shells with radii of 10 cm, 15 cm, 20 cm. The shells are evenly charged. The charges of the inner and outer shell are the same: , and the middle is charged with the charge . Calculate the electric field strength at points A, B, C, and D as shown in the figure.

Three charged spherical shells