1) Two equal charges (Q= +1.00 nC) are situated at the diagonal corners A and B

Question

1) Two equal charges (Q= +1.00 nC) are situated at the diagonal corners A and B of a square of side 1.0 m. What is the magnitude of the electric field at point D?
2) Two small metal spheres are 25.0 cm apart. The spheres have equal negative charge and repel each other with a force of 0.036 N. What is the charge on each sphere?





1) Two equal charges (Q= +1.00 nC) are situated at the diagonal corners A and B of a square of side 1.0 m. What is the magnitude of the electric field at point D? 2) Two small metal spheres are 25.0 cm apart. The spheres have equal negative charge and repel each other with a force of 0.036 N. What is the charge on each sphere?

Explanation / Answer

1)q1 = q2 = 10^-9 C r = 1 m E1 = kq1/r^2 where k = 9*10^9 Nm^2/C^2 = 9*10^9*10^-9/1 = 9 N/C similarly E2 = 9 N/C E1 & E2 are perpendicular to each other so resultant electric field at D , E = v[(E1)^2 + (E2)^2] = v(81+81) = 12.727 N/C (2) r = 25 cm = 0.25 m q1 = q2 = -q (say) F = 0.036 N kq1q2/r^2 = 0.036 9*10^9*q^2/0.0625 = 0.036 q^2 = 0.000025*10^-8 q = 0.005*10^-4 C ?q1 = q2 = - 0.005*10^-4C

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