Ten charges are placed on the circumference of a circle of radius with constant…

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

Ten charges are placed on the circumference of a circle of radius

R

with constant angular separation between successive charges. Alternate charges 1, 3, 5, 7, 9 have charge

(+q)

each, while 2, 4, 6, 8, 10 have charge

(-q)

each. The potential

V

and the electric field

E

at the centre of the circle are respectively : (Take

V=0

at infinity) (1)

V = \frac{10q}{4\pi\epsilon_0 R}

;

E = 0

(2)

V = 0

;

E = \frac{10q}{4\pi\epsilon_0 R^2}

(3)

V = 0

;

E = 0

(4)

V = \frac{10q}{4\pi\epsilon_0 R}

;

E = \frac{10q}{4\pi\epsilon_0 R^2}