Home
Class 12
PHYSICS
Charges 2mC, 4mC and 6mC are placed at t...

Charges 2mC, 4mC and 6mC are placed at the three corners A, B and C respectively of a square ABCD of side x metre. Find, what charge must be placed at the fourth corner so that the total potential at the centre of the square is zero.

Text Solution

Verified by Experts

Let each side of square = x AC =BD
`AO=BO=cO=DO=sqrt(2)/(2)x`

Let q be the charge placed at the centre O
`(q_(1))/(AO)+(q_(2))/(BO)+(q_(3))/(CO)+(q_(4))/(DO)=0`
`(4xx10^(-3)+8xx10^(-3)+12xx10^(-3)+2q)/sqrt(2x)=0`
`24xx10^(-3)+2q=0`
`2q=-24xx10^(-3)`
`q=-12xx10^(-3)` C
Promotional Banner

Topper's Solved these Questions

  • SOLVED PAPER (II PUC JULY 2016)

    OSWAAL PUBLICATION|Exercise PART C|8 Videos

  • SEMI-CONDUCTORS ELECTRONICS

    OSWAAL PUBLICATION|Exercise TOPIC -4 LOGIC GATES (NUMERICAL PROBLEMS)|4 Videos

  • SOLVED PAPER (II PUC MARCH-2016)

    OSWAAL PUBLICATION|Exercise PART-D|11 Videos

Similar Questions

Explore conceptually related problems

Charges 5mC, 4inC and 6mC are placed at the three corners A, B and C respectively of a square ABCD of side X metre. Find, what charge must be places at the fourth corner so that the total potential at the centre of the square is zero.

Three point charges +10nC,-15nC and +20nC are placed at the corners A,B and C respectively of a square, ABCD of side 0.1m. Calculate the amount of work done to transfer -100nC from the point 'D' to the point 'O'.

Three charges each equal to +4nC are placed at the three comers of a square of side 2 cm. Find the electric field at the fourth corner.

ABCD is a square of side 1m. Charges of +3nC, -5nC and +3nC are placed at the comers A, B and C respectively. Calculate the work done in transferring a charge of 12mu c from D to the point of intersection of the diagonals?

Three point charges of +2q, +2q and -4q are placed at the corners A, B and C of an equilateral triangle ABC of side 'x'. The magnitude of the electric dipole moment of this system is.

Point charges of 10nC,20nCand10nC are kept at the corners A,B C of a square ABCD of side 3m. Calculate the magnitude of the resultant electric intensity at D.

Two point charges of 6 nC and 12 nC are placed at the corners of B and C of an equilateral triangle ABC of side 0.03 m . Calculate the magnitude of the resultant electric intensity at the vertex A of triangle.