## What is the electric potential at the point indicated with the dot in the figure?

Question

### Question:

What is the electric potential at the point indicated with the dot in the figure?

Electric Potential:
The electric potential at a point that is rr away from a solitary charge Q is given by
V = kQ/r
where k=1/4πϵ0 ≈ 8.99×109 Nm2/C2 alluded to as the Coulomb’s consistent.
For numerous charges, the net electric potential at the fact is the scalar aggregate of the potential because of each charge.
To begin with, we decide r:
r= (3.0 cm/2) cos30∘=1.299 cm=1.299×10−2 m
At that point we let
• Q1=1.0 nC
• Q2=Q3=−2.0 nC
Review that the electric potential at a point because of a point charge is given by
V=kQr
where
• k=8.99×109 Nm2/C2 is the estimation of Coulomb’s consistent
• Q is the charge
• r is the separation of the charge from the point
Henceforth, the net electric potential at the point for this situation is the total of the possibilities because of each charge:
Vnet = V1 + V2 + V3
=kQ1/r+kQ2/r+kQ3/r
=kr[Q1 + Q2 + Q3]
=8.99×109 Nm2/C2/1.299×10−2 m + x [1.0 nC − 2.0 nC − 2.0 nC]
= −2076.2 V

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