Three charged particles are at the corners of an equilateral triangle as shown i

Question

Three charged particles are at the corners of an equilateral triangle as shown in the figure below. (Let q = 2.00 µC, and L = 0.700 m.)

(a) Calculate the electric field at the position of charge q due to the 7.00-µC and 4.00-µC charges.

(b) Use your answer to part (a) to determine the force on charge q.

Three charged particles are at the corners of an equilateral triangle as shown in the figure below. (Let q = 2.00 mu C, and L = 0.700 m.) (a) Calculate the electric field at the position of charge q due to the 7.00- mu C and -4.00- mu C charges. kN/C i + kN/C j (b) Use your answer to part (a) to determine the force on charge q. mN i + mN j

Explanation / Answer

(A) due to -4 uC :

E1 = k Q / L^2 = (9 x 10^9) ( 4 x 10^-6 ) / (0.70^2) (i)

E1 = 73469.4 N/C i

due to 7uC :

E2 = (9 x 10^9)(7 x 10^-9) / (0.7^2) [ - cos60 i - sin60j ]

E2 = - 64285.7i - 111346.12 j N/C

E = E1 + E2 = 9183.7i - 111346 j N/C

= 9.18 i - 111.3 k N/ C

Ans: ( 9.18 , - 111.3 )

(B) F = q E = 0.0184 i - 0.2227 j N

= 18.4 i - 222.7 j m N

Ans ( 18.4 , - 222.7 )

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