Home
Class 12
PHYSICS
Four charges +q,-q,-2q and +2q are kept ...

Four charges `+q,-q,-2q and +2q` are kept in the corners of a square of side a. The total field at the centre is

A

`((6sqrt(2)q)/(4piepsilon_(0)a^(2)))hati`

B

`((6sqrt(2)q)/(4piepsilon_(0)a^(2)))hatj`

C

zero

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A

`vecE_(1)=(E_(1)cos45^(@))hati+(E_(1)sin45^(@))hatj`
`vecE_(2)=(E_(2)cos45^(@))hati+(E_(2)sin45^(@))hatj`
`vecE_(R)=2(E_(1)cos45^(@)+E_(2)cos45^(@))hati=sqrt(2)(E_(1)+E_(2))hati, vecE_(R)=sqrt(2)(E_(1)+E_(2))hati`
`E_(1)=(1)/(4piepsilon_(0))(q)/(r^(2)),r=(a)/(sqrt(2)),E_(1)=(2q)/(4piepsilon_(0)a^(2)),E_(2)=(4q)/(4piepsilon_(0)a^(2)),E_(R)=(6sqrt(2)q)/(4piepsilon_(0)a^(2))hati`
Promotional Banner

Similar Questions

Explore conceptually related problems

Four charges each equal to -Q are placed at the four corners of a square and a charge q is at its center. If the system is in equilibrium, the value of q is :

Four point charges q_A= +5 muC, q_B = -5 muC, q_C = +5 muC, and q_D=-5muC are located at the corners of a square ABCD of side 10 cm. What is the force on a charge of 1 muC placed at the centre of the square?

Three point charges +2mu C each are placed at the corners of an equilateral triangle of side 1m. Find the magnitude of the force between charge q_1 and q_2 [F_12] and q_1 and q_3 [F_13]

Consider the charges q,q, and -q placed at the vertices of an equilateral triangle as shown in the figure. What is the force on each charge? '(##VPU_HSS_PHY_XII_CO1_E01_007_Q01##)'