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A +1.7-nC point charge is placed at one corner of a square (1.9 m on a side), an

ID: 1585961 • Letter: A

Question

A +1.7-nC point charge is placed at one corner of a square (1.9 m on a side), and a -2.7-nC charge is placed on the corner diagonally opposite. What is the magnitude of the electric field at either of the other two corners? Two point charges are placed at two of the corners of a triangle as shown in the figure. (Take q_1 = -10.6 C, and q_2 = 13.9 C.) Find the magnitude and the direction of the electric field at the third corner of the triangle. Research suggests that the electric fields in some thunderstorm clouds can be on the order of 10 kN/C. Calculate the magnitude of the electric force acting on a particle with two excess electrons in the presence of a 10.0-kN/C field.

Explanation / Answer

Given

q1 = 1.7 x 10^-9 C

q2 = - 2.7 x 10^-9 C

r= sqrt(1.9^2 + 1.9^2)

r = 2.67m

F = kq1q2/r^2

F = - (9*10^9*1.7*2.7*10^-18)/2.67^2

F = - ( 41.31*10^-9)/7.129

F = - 5.80 x 10^-9 N

IFI = 5.80 × 10^-8 N

2)

q1 = -10.6 x 10^-6 c

q2 = 13.9 x 10^-6 C

r = sqrt ( 10^2 + 20^2)

r = sqrt( 500)

r = 22.36 cm

r = 0.3326 m

F = kq1q2/r^2

F = -(9*10^9*10.6*13.9*10^-12)/(0.2236)^2

F = -(1326*10^-3)/0.0500

F = - 26.520 N

F = 26.520 N