At a particular moment, three small charged balls, one negative and two positive

Question

At a particular moment, three small charged balls, one negative and two positive,are located as shown in the figure. Q1 = 1 nC, Q2 = 8 nC, and Q3 = -6 nC. Remember that you must first convert all quantities to S.I. units. 1 nC = 1 nanocoulomb = 1e-9 C.

(a1) What is the electric field at the location of Q1, due to Q2?

(a2) What is the electric field at the location of Q1, due to Q3?

(a3) What is the net electric field at the location of Q1, due to Q2 and Q3?

(b) Use the electric field you calculated above to find the force on Q1 due to Q2 and Q3.

(c1) What is the electric field at location A, due to Q1?

(c2) What is the electric field at location A, due to Q2?

(c3) What is the electric field at location A, due to Q3?

(c4) What is the net electric field at location A?

(d) An alpha particle (He2+, containing two protons and two neutrons) is released from rest at location A. At the instant the particle is released, what is the electric force on the alpha particle, due to Q1, Q2 and Q3?

Explanation / Answer

a1) 45000 N/C along Y axis a2) 21600 N/C at angle of -45 degree a3) 33420.72 N/C AT ANGLE OF 62.8 DEGREES B) FORCE ON Q1 DUE TO Q2 AND Q3 = 3.342 N AT ANGLE OF 62.8 DEGREES C1) 10000 N/C ALONG X AXIS C2) 28800 N/C AT 45 DEGREES C3) 33750 N/C ALONG NEGATIVE Y AXIS C4) NET ELECTRIC FIELD AT A = 33184.03 N/C AT ANGLE OF -23.788 DEGREES D) ELECTRIC FORCE ON He2+ = 1.06 X 10^-14 N AT ANGLE OF -23.788 DEGREES

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