Superposition of electric fields

         

Three point charges of strengths q1=4.0×106 C, q_1 = 4.0 \times 10^{-6} \text{ C}, q2=1.0×106 C q_2 = 1. 0 \times 10^{-6} \text{ C} and Q=4.0×106 C Q = -4.0 \times 10^{-6} \text{ C} are fixed in a right triangle as shown above.

The distance between q1 q_1 and Q Q is d1=4.0 cm, d_1 = 4.0 \text{ cm}, and the distance between q2 q_2 and Q Q is d2=3.0 cm. d_2 = 3.0 \text{ cm}. What is the approximate electric field strength at location of charge Q Q due to the other two charges?

Four point charges, each equal to q=44 μC, q = 44 \ \mu \text{C}, are held at the corners of square ABCD ABCD of side length a=80 cm a= 80 \text{ cm} on the xyxy-plane. Find the magnitude and sign of a charge Q Q placed at the center of the square such that the system of charges is in equilibrium.

Three point charges, each equal to q=33 μC, q = 33 \ \mu \text{C}, are held at the corners of equilateral triangle ABC ABC of side length a=60 cm a= 60 \text{ cm} on the xyxy-plane. Find the magnitude and sign of a charge Q Q placed at the center of the triangle such that the system of charges is in equilibrium.

Two charges, each equal to 52 μC, -52 \ \mu \text{C}, are held a certain distance apart. A charge Q Q is placed exactly midway between them. Find the magnitude and sign of Q Q such that the system of the three charges is in equilibrium.

Two points charges q1=64 μC q_ 1 = 64 \ \mu \text{C} and q2=9 μC q_2 = -9 \ \mu \text{C} are held on the xx-axis. The point charge q1 q_1 is at x=50 cm x = -50 \text{ cm} and q2 q_2 is at the origin. Where on the x x -axis should a third charge +Q +Q be placed so that charge Q Q does not experience any net force?

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