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B.)If all charges were released simultaneously how would that change the answer

ID: 1427817 • Letter: B

Question

B.)If all charges were released simultaneously how would that change the answer above

This is a closed-book quiz, but you may find the following information useful. k = 8.99 Times 10^9 N m^2/C^2. Compute with symbols first, and plug in numbers at the end. Four charges are held at the corners of a square, colored red, green, blue, and white, respectively. The side is a = 1.0 cm. the charges are q_1 = -q_2 1.0 nC, q_3 = -q_4 = 1.0 nC, and their masses are equal at m = 3.0 mu g. For charge q_3, draw a free-body diagram on the figure. If this charge is released, what is its acceleration at that moment, in unit vector form?

Explanation / Answer

here

Electric field E = KQ/r^2

here on q3, there are three Electric fields

EF on q3 due to q2   = -(9*10^9 * 1*10^-9/0.01^2)

E32 = - 90000 N/C along j

EF on q3 due to q4    = -(9*10^9 * 1*10^-9/0.01^2)

E34 = -90000 N/C along i


Enet of these two E'^2 = 90000^2 + 90000^2

E' = 127260 N/C diagonaly along q1 and q3

Eon q3 due to q1 = (9e9 * 1 e -9)/(2 * 0.01* 0.01)

Eon q3 due to alll charges = -90000+ 45000   = -45000 N/C (ANSWER)
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