9. 04 points | Pravious Answens My Not Field and force with three charges At a p

Question

9. 04 points | Pravious Answens My Not Field and force with three charges At a particular moment, one negative and two positive charges are located as shown in the figure. Your answers to each part of this problem should be vectors. It helps a great deal to make a diagram with arrows representing the various electric tield contributions, and then check the signs of your components against these arrows. Let Q1-1pC, Q2 = 7pC, and Q3--3pC. ei 23 (a) Find the electric field at the location of Q1 due to 2 and Q3. (b) Use the electric field you calculated in part (a) to tind the force on Q1 (c) Find the electric field at location A, due to all three charges. N/C

Explanation / Answer

electric field due charge Q2

E2y = k*Q2/r12^2 = 9*10^9*7*10^-6/0.04^2 = 39.4*10^6 N/C

E2x = 0

electric field due charge Q3

r13 = sqrt(x^2+y^2) = sqrt(3^2+4^2) = 5 cm = 0.05 m

E3x = k*Q3*x/r^3 = 9*10^9*3*10^-6*0.03/0.05^3 = 6.48*10^6 N/C

E3y = -k*Q3*y/r^3 = -9*10^9*3*10^-6*0.04/0.05^3 = -8.64*10^6 N/C

Ex = E2x + E3x = 6.48*10^6 N/C

Ey = E1y + E3y = 30.76*10^6 N/C

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part(b)

Fx = Ex*Q1 = 6.48 N

Fy = Ey*Q1 = 30.76 N

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(c)

Electric field due to Q1

E1x = k*Q1/x^2 = 9*10^9*1*10^-6/0.03^2 = 10*10^6 N/C

Electric field due to Q2

E2x = k*Q2*x/r^3 = 9*10^9*7*10^-6*0.03/0.05^3 = 15.12*10^6 N/C

E2y = k*Q2*y/r^3 = 9*10^9*7*10^-6*0.04/0.05^3 = 20.2*10^6 N/C

Electric field due to Q3

E3x = 0

E3y = -k*Q2/y^2 = 9*10^9*3*10^-6/0.04^2 = -16.9*10^6 N/C

Ex =E1x + E2x + E3x = 25.12*10^6 N/C

Ey = E1y + E2y + E3y = 3.3*10^6 N/C

DONE please check the answer. any doubts feel free to ask

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