Home
Class 12
PHYSICS
A charge q is divided into three equal p...

A charge q is divided into three equal parts and placed symmetrically on a circle of radius r. The same charge is divided into four equal parts and placed symmetrically on the same circle. The electric field intensities at the centre of the circle in two situations are zero.
The potential energy of the system in first situation where the charge is divided into three equal parts is

A

`(1)/(4piepsilon_(0))(q^(2))/(r)`

B

`(1)/(36piepsilon_(0))(q^(2))/(r)`

C

`(1)/(12sqrt(3)piepsilon_(0))(q^(2))/(r)`

D

`(1)/(12piepsilon_(0))(q^(2))/(r)`

Text Solution

Verified by Experts

The correct Answer is:
C

Potential energy in situation A is
`U_(1)=3xx(1)/(4piepsilon_(0))((q//3)^(2))/((sqrt(3)R))=(1)/(12sqrt(3)piepsilon_(0))(q^(2))/(R)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Three point electric charges q_1 = 6µC, q_2 = 4µC and q_3 = -8µC are placed on the circumference of a circle of radius 1m as shown in the figure. What is the value of the charge q, placed on the circle if the potential at the centre of the circle is zero?

In the picture below, two vertices of a parallelogram are joined to the mid points of two sides. Prove that these lines divides the diagonal in the picture into three equal parts. .

The picutre on the right shows two circles centred on the same point and the line intersecting them.Prove that the parts of the line between the circles on either side are equal.

The picture on the right shows two circles centred on the same point and a line intersecting them.Prove that the parts of the line between the circles on either side are equal.