Point charges-85 nC and 100 nC are located at (2, 0, -5) and (-3, -2, -1), respectively. (a) Determine the force on a 50 nC point charge located at (6, 4, 7). (b) Find the electric field E at (1, -3, 7) Find the gradient of the following scalarfield, U = 4xy² + 3xyz
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- Two charges are located in the x-y plane. If q1 -3.50 nC and is located at (x = 0.00 m, y = 0.960 m), and the second charge has magnitude of q2 = 4.80 nC and is located at (x = 1.40 m, y 0.650 m), calculate the x and y components, Ex and Ey, of the electric field, É, in component form at the origin, (0, 0). The Coulomb force constant is 1/ (4reo) = 8.99 x 10° N · m²/C². -13.58 -40.45 Ex N/C Ey N/C Incorrect Incorrect IItwo positive point charges, q1=+16uc and q2=+4uc, are located on the x-axis of a coordinate plane. charge q1 is located at the origin, and charge q2 is 3m to the right. If the sign of charge Q2 was changes (from positive to negative) would there ba a location on the line in between Q1 and Q2 where the net electric field is zero?Particle A of charge 3.00 X Yo-C is at the origin, par- ticle B of charge -6.00 X 10-4 C is at (4.00 m, 0), and particle C of charge 1.00 x 10-4C is at (0, 3.00 m). We wish to find the net electric force on C. (a) What is the x component of the electric force exerted by A on C? (b) What is the y component of the force exerted by A on C? (c) Find the magnitude of the force exerted by B oon C. (d) Calculate the x component of the force exerted by B on C. (e) Calculate the y component of the force exerted by B on C. (f) Sum the two x compo- nents from parts (a) and (d) to obtain the resultant x component of the electric force acting on C. (g) Simi- larly, find the y component of the resultant force vector acting on C. (h) Find the magnitude and direction of the resultant electric force acting on C.
- A charge q1 of 44 µC is placed at the origin of the xy-coordinate system and a charge q2 of -72 µC is placed on the positive x-axis at x = 20 m. Calculate the magnitude of the net electric force being experienced by another charge q3 = 3 mC at point (20 m, 25 m) in N.Two positive charges, each 4.18 µC, and a negative charge, -6.36 µC, are fixed at the vertices of an equilateral triangle. Calculate the length of the triangle side if the net electrostatic force on the negative charge is Fnet=29.6 N. Give your answer in SI units. Answer: Choose... +A +2nC point charge is located in between a +5nC charged flat plate of area 1.2m2 and another point charge of -3nC. The latter is located 6mm to the right of the first (+2nC) point charge, along a line that intersects the plate at 90o. The plate is located 4.3mm from the first, (+2nC) charge. A) What is the total electric force exerted on the +2nC charge? B) What is the total electric force exerted on the -3nC charge? C) What is the total electric field “seen” by the +2nC charge, as generated by the -3nC and +5nC objects? D) What is the total electric field (magnitude and direction) “seen” by the +2nC charge, as generated by the -3nC and +5nC objects? E) What is the electric field generated by flat plate (magnitude and direction), a distance 0.5mm away from it? F) What is the total electric field (magnitude and direction) generated by all three charges, at a location 2mm to the right of the -3nC charge?
- (a) Three point charges, A = 1.50 µC, B = 7.50 µC, and C = -3.80 µC, are located at the corners of an equilateral triangle as in the figure above. Find the magnitude and direction of the electric field at the position of the 1.50 µC charge. magnitude directionThis is an approximate model of a water molecule. Point charges q1 and q2 of -1.00 x 10-19 C and 1.00 x 10-19 C, respectively, are placed 0.600 x 10-12 m apart. Thus d = 0.300 x 10-12 m in fig. 2 below, D= 0.600 x 10-12 m At point b, what must be the y-component Eynet of the net electric field due to the two charges? Show work. At point b, what is the x-component Exnet of the net electric field due to the two charges? At point b, what is the direction of the net electric field due to the two charges? Indicate this direction by drawing an arrow in fig. 2 with its tail at point b. At point b, what is the magnitude of the net electric field due to the two charges? What is the relationship between your answer here and your answer to part (e)?