Four particles, each carrying a charge of magnitude 6.0 nC, are the corners of a

Question

Four particles, each carrying a charge of magnitude 6.0 nC, are the corners of a square that has a side length of 3.0 m. For zero potential set at infinity, calculate the potential at the center of the square if all particles are positively charged. Express your answer with the appropriate units. For zero potential set at infinity, calculate the potential at the center of the square if three particles are positively charged and one is negatively charged. Express your answer with the appropriate units. For zero potential set at infinity, calculate the potential at the center of the square if two particles are positively charged and one is negatively charged. Express your answer with the appropriate units.

Explanation / Answer

magnitude of charge , q = 6 nC

side , a = 3 m

distance of charges from centre , d = 3/sqrt(2)

d = 3/sqrt(2) = 2.121 m

for the all positive charges

potential at the centre = 4 * k * q/d

potential at the centre = 4 * 9 *10^9 * 6*10^-9/2.121

potential at the centre = 101.8 V

the potential at the centre is 101.8 V

------------------------------------

if one particle is negatively charged

potential at the centre = (3 -1) * k * q/d

potential at the centre = 2 * 9 *10^9 * 6 *10^-9/2.121

potential at the centre = 50.9 V

the potential at the centre is 50.9 V

--------------------------------------

for two postive particles

potential at the centre = (2 - 2) * k * q/d

potential at the centre = 0 * 9 *10^9 * 6 *10^-9/2.121

potential at the centre = 0 V

the potential at the centre is 0 V

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.