Question

Consider the figure with a symmetrical arrangement, in is positive Using the symmetry of the arrangement, determine the gb direction of the force on charge q O down and right O up O down O up and right O down and left O left O right O up and left Calculate the magnitude of the force F on the charge q given that the square is 11.40 cm on a side and q 1.75 uC

Answer 1

At point p, F_N = Net force on charge q which is in downward direction. So the correct answer is option three. For magnitude of force at p. F_a = kq_r q/r^2 q_a = 7.95 mu c q = 1.75 mu c r = (11.40/2 squareroot 2) cm = 8.06 times 10^-2 m a = 11.40 cm 2r 2 squareroot 2 a r = a/squareroot 2 a^2 + a^2 = r^2 F_a = 8.89 times 10^9 times 7.95 times 10^-6 times 1.75 times 10^-6/(8.06 times 10^-2)^2 K = 8.89 times 10^9 Nm^2 c^-2 F_a = 19.04 N \r\n F_b = 8.89 times 7.95 times 10^-6 times 1.75 times 10^-6 times 10^9/(8.06 times 10^-2) N F_b = 19.04 N F_c = 8.89 times 10^9 times 7.95 times 10^-6 times 1.75 times 10^-6/(8.06 times 10^-2)^2 F_c = 19.04 N F_D = 8.89 times 10^9 times 7.95 times 10^-6 times 1.75 times 10^-6/(8.06 times 10^-2) N F_d = 19.04 N
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