Question
Four point charges are on the rim of a circle of radius 10 cm.The charges are (in mC) +0.50, +1.5, -1.0, -0.50. If theelectrical potential at the circle's center due to the +0.5 chargealone is 4.5 ´ 104 V, what is the total potentialat the center due to the four charges combined? a. 18 ´ 104 V b. 4.5 ´ 104 V c. zero d. -4.5 ´ 104 V e. -18 ´ 104 V Four point charges are on the rim of a circle of radius 10 cm.The charges are (in mC) +0.50, +1.5, -1.0, -0.50. If theelectrical potential at the circle's center due to the +0.5 chargealone is 4.5 ´ 104 V, what is the total potentialat the center due to the four charges combined? a. 18 ´ 104 V b. 4.5 ´ 104 V c. zero d. -4.5 ´ 104 V e. -18 ´ 104 V a. 18 ´ 104 V b. 4.5 ´ 104 V c. zero d. -4.5 ´ 104 V e. -18 ´ 104 V a. 18 ´ 104 V b. 4.5 ´ 104 V c. zero d. -4.5 ´ 104 V e. -18 ´ 104 V
Explanation / Answer
The electrical potential at the circle's center due to the+0.5 charge alone is V = 4.5 ´ 104 V the total potential at the center due to the four chargescombined V ' = 4.5 * 104 V Since total charge Q = +0.5 +1.5-1-0.5 = 0.5 mC So,option ( b) is correct