# Electric Field Due to a Charged Ring

## Electric Field Due to a Charged Ring

A conducting ring of radius R has a total charge q uniformly distributed over its circumference. We are interested in finding the electric field at point P that lies on the axis of the ring at a distance x from its centre.

We divide the ring into infinitesimal segments of length dl. Each segment has a charge dq and acts as a point charge source of electric field.

Let dE be the electric field from one such segment; the net electric field at P is then the sum of all
contributions dE from all the segments that make up the ring. If we consider two ring segments at the top and bottom of the ring, we see that the contributions dE to the field at P from these segments have the same x-component but opposite y-components.

Hence, the total y-component of field due to this pair of segments is zero.

When we add up the contributions from all such pairs of segments, the total field E will have only a component along the ring’s symmetry axis (the x-axis) with no component perpendicular to that axis (i.e. no y or z-component). So, the field at P is described completely by its x-component Ex.

From the above expression, we can see that, Ex = 0 at x = 0, i.e. field is zero at the centre of the ring. We should expect this, charges on opposite sides of the ring would push in opposite directions on a test charge at the centre, and the forces would add to zero.

• ## Human Ear

Human Ear The human ear, like that of other mammals, contains sense organs that serve two quite different functions: that of hearing and that of head and eye movements. Anatomically, the ear has three distinguishable parts: the outer, middle, and inner ear.  How Human Ear Works? Different sounds produced in our surroundings are collected by pinna that sends these … Continue reading Human Ear

• ## Electric Field Lines

Electric Field Lines Electric charges create an electric field in the space surrounding them. It is useful to have a kind of “map” that gives the direction and indicates the strength of the field at various places. Field lines, a concept introduced by Michael Faraday, provide us with an easy way to visualize the electric … Continue reading Electric Field Lines

• ## Electric Field of a Line Charge

Electric Field of a Line Charge Positive charge q is distributed uniformly along a line with length 2a, lying along the y-axis between y=–a and y=+a. We are here interested in finding the electric field at point P on the x-axis. Derivation of electric field due to a line charge: Thus, electric field is along … Continue reading Electric Field of a Line Charge

• ## Electric Field Due to a Charged Ring

Electric Field Due to a Charged Ring A conducting ring of radius R has a total charge q uniformly distributed over its circumference. We are interested in finding the electric field at point P that lies on the axis of the ring at a distance x from its centre. We divide the ring into infinitesimal … Continue reading Electric Field Due to a Charged Ring

• ## Electric Field Due to a Point Charge

Electric Field Due to a Point Charge The electric field produced by a point charge q can be obtained in general terms from Coulomb’s law.First note that the magnitude of the force exerted by the charge q on a test charge q0 is then divide this value by q0 to obtain the magnitude of the … Continue reading Electric Field Due to a Point Charge

• ## Conductors and Insulators

Conductors and Insulators Solids are mainly classified into two groups, conductors and insulators. In conductors, electric charges are free to move from one place to another, whereas in insulators they are tightly bound to their respective atoms. In an uncharged body, there are equal number of positive and negative charges. The examples of conductors of … Continue reading Conductors and Insulators

• ## Charging by Rubbing

Charging by Rubbing The simplest way to charge certain bodies is to rub them against each other. When a glass rod is rubbed with a silk cloth, the glass rod acquires some positive charge and the silk cloth acquires negative charge by the same amount. The explanation of appearance of electric charge on rubbing is … Continue reading Charging by Rubbing

• ## Charging by Contact

Charging by Contact When a negatively charged ebonite rod is rubbed on a metal object, such as a sphere, some of the excess electrons from the rod are transferred to the sphere. Once the electrons are on the metal sphere, where they can move readily, they repel one another and spread out over the sphere’s … Continue reading Charging by Contact

Physics Articles

NEET Chapter-wise Test Series for PCB

CBSE Term 2 Test Series for Class 9 to 12