Review a system consisting of two thin wire pieces not up to a charge per unit the lengths are A and -A, respectively. Both wires extend in parallel with z axis. The positively charged wire is located in the position (0, a), while the charged wire is located in the position (0, a), while the charged wire the negative is located in the position (0, -a). Just review in 2-dimensional cartoce/polar coordinates only If there is a -q charge at the point (a, b) determine the electric force on the charge!
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- A small sphere of mass m = 6.60 g and charge q1 = 31.0 nC is attached to the end of a string and hangs vertically as in the figure. A second charge of equal mass and charge q2 = −58.0 nC is located below the first charge a distance d = 2.00 cm below the first charge as in the figure. A rope hangs vertically down from a ceiling with positive charge q1 at its end. Negative charge q2 is a distance d directly below q1. (a) Find the tension in the string. Your response differs from the correct answer by more than 10%. Double check your calculations. N(b) If the string can withstand a maximum tension of 0.180 N, what is the smallest value d can have before the string breaks? cmTwo equal and opposite charges are placed on the x-y plane as shown. The positive charge is at location (L, 0) and the negative charge at (0, 2L). +2L 6 +L Consider the electric field at the origin. On the graph draw: a) the electric field due to the positive charge, label that E, b) the electric field due to the negative charge, label that E- c) the net electric field at the origin, label that Emet Draw appropriately the length of each vector to take into account their relative magnitudes.Needs Complete typed solution with 100 % accuracy.
- Three charges on a ring Three particles of equal mass m are placed on a ring of radius R. Two of the particles have charge q and the third has a charge Q. (a) Find the equilibrium configuration of the charges for general q and Q. Be sure to consider both qQ> 0 and qQ <0. (You will find an equation that relates the angles between the particles and their charges. This equation can't be solved in general, however comment on special cases and check various limits.) (b) Solve the equation from part (a) for q = Q. For this case, consider small pertur- bations of the charges around their equilibrium positions. Find the frequencies and eigenmodes. Ignore friction.Needs Complete typed solution with 100 % accuracy. Handwritten solution is completely prohibited.The ball of mass m = 2.00 g has a drag coefficient of D = 0.500 and a radius of r = 1.00 cm, and carries a charge of 3.75 µC. The density of air surrounding the ball is ) = 1.20 kg/m. Divide your group in two and have one subgroup solve part (a) and the other part (b). (a) Group (i): The wind blows to the right in the figure at a speed of 10.0 m/s. What angle (in degrees) does the string make with the vertical? (b) Group (ii): The wind shifts so that it blows into the page at the same speed. Now what angle (in degrees) does the string make with the vertical? Now gather your group together again and answer the following. (c) In part (b), what angle (in degrees) does the string make with the plane of the page when looking at the figure?
- A light, unstressed spring has length d. Two identical particles, each with charge q, are connected to the opposite ends of the spring. The particles are held stationary a distance d apart and then released at the same moment. The system then oscillates on a frictionless, horizontal table. The spring has a bit of internal kinetic friction, so the oscillation is damped. The particles eventually stop vibrating when the distance between them is 3d. Assume the system of the spring and two charged particles is isolated. Find the increase in internal energy that appears in the spring during the oscillations.Your answer is partially correct. The charges and coordinates of two charged particles held fixed in an xy plane are q1 = 2.13 µC, x1 = 4.35 cm, Y1 = 0.304 cm and 92 = -5.93 µC, x2 = -2.30 cm, y2 = 1.07 cm. Find the (a) magnitude and (b) direction (with respect to +x-axis in the range (-180°;180°]) of the electrostatic force on particle 2 due to particle 1. At what (c) x and (d) y coordinates should a third particle of charge q3 = 6.16 µC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero? (a) Number 25.3 Units N (b) Number i 173.44 Units ° (degrees) (c) Number -3.6 Units m Number i 0.42 Units mA non-conducting rod of length a is uniformly charged with the total charge +Q, and the rod along the x-axis. A small charge +q is at some point X, on axis x. Find the electrostatic force that the rod exerts on the point charge. +Q +9
- The figure below shows a charged particle, with a charge of q = +38.0 nC, that moves a distance of d = 0.185 m from point A to point B in the presence of a uniform electric field E of magnitude 245 N/C, pointing right. A positive point charge q is initially at point A, then moves a distance d to the right to point B. Electric field vector E points to the right. (a) What is the magnitude (in N) and direction of the electric force on the particle? magnitude Ndirection ---Select--- toward the right toward the left The magnitude is zero. (b) What is the work (in J) done on the particle by the electric force as it moves from A to B? J (c) What is the change of the electric potential energy (in J) as the particle moves from A to B? (The system consists of the particle and all its surroundings.) PEB − PEA = J (d) What is the potential difference (in V) between A and B? VB − VA = VA positively charged particle Q1 = +25 nC is held fixed at the origin. A second charge Q2 of mass m = 9.5 μg is floating a distance d = 45 cm above charge Q1. The net force on Q2 is equal to zero. You may assume this system is close to the surface of the Earth. Calculate the magnitude of Q2 in units of nanocoulombs.a) A charge 4Q is located at x = −2l on the x-axis, and a charge Q is located at x = l on the x-axis. Q > 0. Near the origin, a positive test charge q with mass m undergoes small oscillations along the x-axis. What is the frequency ω of these oscillations? (Remember that if F = ma = −kx, then ω2 = k/m).