Four charges are placed on the corners of a rectangle with length d = 0.00341 mm...

Four charges are placed on the corners of a rectangle with length d = 0.00341 mm and breadth s = 0.00119 mm, as shown in the figure. The charges are given in terms of the elementary charge, e = +1.602×10‒19 C, as follows: q1 = q2 = +2000e and q3 = q4 = ‒3000e.

(a) Calculate the electric potential at point A, the middle of the rectangle, and at point B, the middle of the right-hand side of the rectangle.

(b) A particle with unknown charge q and mass m = 2.342 ×10‒20 kg is placed at point A, where it is initially at rest. The charge moves from point A to point B, where it has a speed of v = 12.23 m/s. Assuming that all forces apart from the electrostatic forces in the system are negligible, determine q. Use the answers obtained in (a) in your calculation.

Solutions

Expert Solution

Since the figure is not given, I have assumed the position of charges on the corners in clockwise direction.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Four charges of magnitude +q are placed at the corners of a square whose sides have...

Four charges of magnitude +q are placed at the corners of a square whose sides have a length d. What is the magnitude of the total force exerted by the four charges on a charge Q located a distance b along a line perpendicular to the plane of the square and equidistant from the four charges? Ans: bqQ/πε 0 (b2 + d2 / 2) how to get this answer?

Four identical point charges of magnitude q = 3.2 nC are placed at the corners of...

Four identical point charges of magnitude q = 3.2 nC are placed at the corners of a rhombus of edge length l = 22 cm and obtuse angle θ. We intentionally leave θ undefined. Find the net electric force on each of the four charges. Your answer will depend on the angleθ. For convenience, orient your rhombus so that the charges are placed at (±x, 0) and (0, ±y).

Consider four 60·nC charges placed at the corners of a square, which is 3.6·m on a...

Consider four 60·nC charges placed at the corners of a square, which is 3.6·m on a side. The charges on the bottom are both positive, and the charges on the top are both negative. (a) Find the electric field at the center of the square, in units of V/m. vector E = 0 i hat + 235.7 j (b)Find the electric field at the midpoint of the right side, in units of V/m. vector E = _ i hat +...

Four point charges are at the corners of a square of side a as shown in...

Four point charges are at the corners of a square of side a as shown in the figure below. Determine the magnitude and direction of the resultant electric force on q, with ke, q, and a in symbolic form. (Let B = 5.5q and C = 2.0q. Assume that the +x-axis is to the right and the +y-axis is up along the page.) magnitude = _______ direction = _______ counterclockwise from the +x-axis

Four point charges are at the corners of a square of side a as shown in...

Four point charges are at the corners of a square of side a as shown in the figure below. Determine the magnitude and direction of the resultant electric force on q, with ke, q, and a in symbolic form. (Let B=5.5q and C=8.0q. Assume that the +x-axis is to the right and the +y-axis is up along the page.)

Three point charges are placed at the corners of a right-angle triangle, as shown in the...

Three point charges are placed at the corners of a right-angle triangle, as shown in the figure. The masses, charges and coordinates of the three objects are given as follows: Mass (g): Charge (μC): Coordinate (mm): ?1 = 2.30 ?1 = −1.25 ?1 = (0; 6.00) ?2 = 0.15 ?2 = +0.55 ?2 = (0; 0) ?3 = 1.50 ?3 = −2.05 ?3 = (4.00; 0) (a) Determine the coordinate of the centre of mass of the system. (b) Calculate...

Three charges of +Q are at the three corners of a square of side length L....

Three charges of +Q are at the three corners of a square of side length L. The last corner is occupied by a charge of -Q. Find the electric field at the center of the square.

12 identical charges q are placed at the corners of a regular 12-sided polygon. a) What...

12 identical charges q are placed at the corners of a regular 12-sided polygon. a) What is the net force on a test load Q at its center. b) Suppose one of 12q is removed, what will be the total force on Q?

Four point charges of Q = 4πε0 C each are located at the corners of a...

Four point charges of Q = 4πε0 C each are located at the corners of a square 1 meter on a side. If the square is placed at the z = -1 plane and its center is on the z axis, find the electric field intensity E at: (i) the origin; (ii) at P1 (0, 0, -1); and (iii) at P1 (0, 0, 1).

Four equally charged particles with charge q are placed at the corners of a square with...

Four equally charged particles with charge q are placed at the corners of a square with side length L, as shown in the figure below. A fifth charged particle with charge Q is placed at the center of the square so that the entire system of charges is in static equilibrium. What are the magnitude and sign of the charge Q? (Use any variable or symbol stated above as necessary.) magnitude Q =

Subjects