Identical 4.0-muC charges are placcd on the y axis at y = plusminus4.0 m. Point

Question

Identical 4.0-muC charges are placcd on the y axis at y = plusminus4.0 m. Point A is on the x axis at x = +3.0 m. Determine the electric potential of point A (relative to zero at the origin). a. -4.5 kV b. -2.7 kV c. -1.8 kV d. -3.6 kV c. -14 kV Four identical point charges (+4.0 muC) are placed at the corners of a square which has 20-cm sides. How much work is required to assemble this charge arrangement starting with each of the charges a very large distance from any of the other charges? a. +2.9 J b. +3.9 J c. +2.2 J d. +4.3 J c. +1.9J

Explanation / Answer

3.

distance of charges from point A ,

d = sqrt(3^2 + 4^2)

d = 5 m

electric potential at point A = 2 * k * q/d1 - 2 * k * q/d

electric potential at point A = - 2 * 9*10^9 * 4 *10^-6/4 + 2 * 9*10^9 * 4 *10^-6/5

electric potential at point A = - 3600 V

the electric potential at point A is -3.6 kV

4.

Here , charge , q = 4 uC

side , a = 20 cm = 0.20 m

work required for arrangement = potential energy stored in system

work required for arrangement = 4 * 9*10^9 * (4 *10^-6)^2/0.20 + 2 * 9*10^9 * (4 *10^-6)^2/(sqrt(2) * 0.20)

work required for arrangement = 3.9 J

the work required for arrangement is b 3.9 J

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