1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# If a small sphere of mass m and charge q is hung from a silk thread at an angle θ with the surface of a vertical charged conducting plate, then for equilibrium of sphere, the surface charge density of the plate is

A
ϵ0(mgq)tan θ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
ϵ0(2mgq)tan θ
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
ϵ0(mgq)tan θ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
ϵ0(mg3q)tan θ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B ϵ0(2mgq)tan θThere will be two components of the tension. Tcosθ=mg Tsinθ=electric force Tsinθ=qE where E is the electric field due to the plate. tan θ=qEmg E=mg tan θqσϵ0=mg tan θqσ=mg ϵ0 tan θq this is the surface charge density of the sphere

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Potential Energy of a System of Point Charges
PHYSICS
Watch in App
Join BYJU'S Learning Program