Question

In red, are the answers, please show the work for each:)

1. Two particles with charges, q 3 x 106 C and q2 12 x 106 C, are located along the x-axis at positions with coordinates (0, 0) and (4, 0) m respectively. All distances are n meters. (a) At what point along the x-axis, other than infinity, should a third charge q3 5 x 10 C be placed such that the net electric force on it is zero? (b) At what point(s), if any other than infinity, along the y-axis is the net force on this third charge qs zero? If none, explain. [(a) (1.33,0)m; (b)?] 2. Three point charges [q10 nC, q2 15 nC, q -5 nC] are placed at the vertices of a 5nC rectangle, as shown. (a) Find the magnitude and direction of the net 4 cm electric force exerted on charge q2 = 15 nC due to the two other charges. (b) Determine the magnitude and direction of the m net electric field due to the three charges at the vacant vertex, as shown. (c) What electric force will be exerted on a fourth -10nC 15 nC charge, q4--15 nC, placed at the same vacant vertex? [(a) 11.3 x 104N at 222, (b) 9.8 x 10 N/C at 224°, (c147 x 10 N at 44"] 3. A charged styrofoam ball of mass 2 g is suspended from a point on the ceiling by a thread and placed inside an electric field, E . The electric field vector is given as, = (5i + 4j)x 105 N/C. Inside the electric field, the thread hangs at an angle of 30° from the vertical, as shown. (a) Determine the charge q on the ball. State whether this charge is positive or negative and why (b) What is the magnitude of the tension in the thread? [(a) 155 x 10 C, (b)55x 10 N] 2.0 g Coulomb's Law for point charges: Coulomb's Law for a continuous charge distribution: Electric Force exerted on a point charge inside an electric field: ts Electric field due to point charges: Electric field due to continous Gauss's Law charge distribution: surface

Answer 1