Question

# Four point charges, each –q are placed at the corners of a square and another charge Q is placed at its centre. If the system is in equilibrium, then Q is

A
q4[1+22]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
q4[1+22]
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
q2[1+22]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
q2[1+22]
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B −q4[1+2√2] Consider the equilibrium of charge on any corner, say that at A. For equilibrium FBcos 45+FDcos 45+FC=FO i.e., 14πϵ0 i.e., [q2a21√2+q2a21√2+q2(a√2)2]=−14πϵ0aQ(a√22)2 i.e., q i.e, q[1√2+1√2+12]=−Q(12) i.e., |Q|=q4(1+2√2)

Suggest Corrections
0
Explore more