Find the electric potential at the center of a circle of radius 2m when there are three charges 1C, - 2C and 3C in its circumference. (Coulomb’s constant = 9×109 N.m2/C2 )
Answers
Explanation:
of radius 2m when there are three charges 1C, - 2C and 3C in its circumference. (Coulomb’s constant = 9×109 N.m2/C2 )
Suno bahi....
The electric potential will be 18×10⁹ V
We know, if a charge q is spread over the circumference of a circle,
The electric potential will be = 2kq/r
Here, k = Coulomb's constant
q = amount of charge
r = radius of the circle
Given,
The charges which are present in the circumference of the circle = 1 C, - 2 C, 3 C
We can assume that an amount of {1+(-2)+ 3} C = 2 C charge is spread throughout the circumference.
Radius (r) = 2 m
Coulomb's constant (k) = 9×10⁹ N m²/ C²
∴ The electric potential at the centre of the circle is = (2 × 9×10⁹ × 2)/2 V
= 18×10⁹ V