Three-point charges are fixed to the corners of an equilateral triangle, as the drawing shows. The magnitude of charge A, located in the lower-left corner, is qà = -5.0 µC. The magnitude of charge B, located in the top corner, is qB = +7μC. The magnitude of charge C, located in the lower-right corner, is qc = +2μC. The lengths of the sides of the triangle are 5.0 cm. Show all your work for full credit. For each step below, provide a brief statement as to why you chose a particular strategy to solve the question. 1. What is the magnitude of the electromagnetic force between charge q2 and 93?
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- Three fixed charges are arrayed in the shape of a right triangle, as shown below, where a = 4.0 cm, b = 3.0 cm, and c = 5.0 cm. The magnitude of charge q is 3.55 μC, but the sign of the charge is not known (i.e., it could either be positive or negative). The magnitude and sign of q2 are both unknown; the value of q3 is +5.05 μC. The net force F on q3 is entirely in the negative x-direction. Calculate the magnitude of q2.A charge of 5 pC is at the origin. What is the magnitude and direction of the electric field on the x axis at each of the following locations? (Remember that E, is negative when points in the negative x direction.) (a) x = 6 m N/C î (b) x = -10 m N/C î (c) Sketch the function E, versus x for both positive and negative values of x. (Do this on paper. Your instructor may ask you to turn in this work.)Four identical metallic objects carry the following charges: +1.80, +6.49, -4.30, and -9.07C. The objects are brought simultaneously into contact, so that each touches the others. Then they are separated. (a) What is the final charge on each object? (b) How many electrons (or protons) make up the final charge on each object?
- Two charges one negative and one positive with strength Q1= -3*q and Q2= +2*q (where q=7.0 nC,g=7.0*10^-9C) are placed 3.6m apart. P is located x distance from Q1, and is a point where the sum of the voltage of the two charges will sum to zero. What is the magnitude of the electric field at point P due to Q2 in units of Newton/Coulomb?We have four charges, each of which has size given by some integer A, B, C, or D times q, where q=3.75E−07 C. The charges sit in a plane at the corners of a square whose sides have length d=12.5 cm as shown in the diagram below. A charge, of size Eq, is placed at the origin at the center of the square.a) Let A = 4, B = 6, C = 7, D = 8, and E = −2. Consider the charge at the center of the square, Eq. What is the net x-component of the force on this charge? b) What is the net force in the y-direction on the center charge?magnitude direction BμC 60.0⁰ A μC 0.500 m (a) Three point charges, A = 2.15 μC, B = 6.95 µC, and C = -4.10 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 2.15 µC charge. CμC X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. N/C Your response differs from the correct answer by more than 10%. Double check your calculations.° below the +x-axis
- Two positive charges each of charge q are fixed on the y-axis, one at y = d and the other at y = −d as in the figure shown below. A third positive charge 2q located on the x-axis at x = 2d is released from rest. Three positive charges lie along the axes of an x y-coordinate plane. Charge q lies a distance d above the origin. Charge q lies a distance d below the origin. Charge 2q lies a distance 2d to the right of the origin. (a) Find a symbolic expression for the total electric potential due to the first two charges at the location of the charge 2q. (Use any variable or symbol stated above along with the following as necessary: ke for the Coulomb constant.) V = (b) Find a symbolic expression for the electric potential energy of the charge 2q. (Use any variable or symbol stated above along with the following as necessary: ke for the Coulomb constant.) PE = 4keq2√5d (c) Find a symbolic expression for the kinetic energy of the charge 2q after it has moved…The drawings show three charges that have the same magnitude but different signs. In all cases the distance d between the charges is the same. The magnitude of the charges is |q|= 7.3 µC, and the distance between them is d = 4.6 mm. Determine the magnitude of the net force on charge 2 for each of the three drawingsTwo parallel plates of charge (+) and (-) are placed with a distance of d = 5 mm (see picture). The charge density of each plate is the same, namely 17.7 μC/m². A positive charge q = +3 nC with mass m = 30 x 10^-30 kg is released from rest starting from the left plate. What is the kinetic energy of this charge when it arrives at the right plate?
- The drawing shows two situations in which charges are placed on the x and y axes. They are all located at the same distance of 6.60 cm from the origin O. For each of the situations in the drawing, determine the magnitude of the net electric field at the origin. +2.0 μC (a) E = i (b) E = i –5.0 μ.C (a) -3.0 μC +4.0 μ C +1.0 μC +6.0 μ.C (b) -1.0 μCRed blood cells often become charged and can be treated as point charges. Healthy red blood cells are negatively charged, but unhealthy cells (due to the presence of a bacteria, for example) can become positively charged. In the figure, three red blood cells are oriented such that they are located on the corners of an equilateral triangle. The red blood cell charges are A = 1.90 pC, B = 6.50 pC, and C = -4.80 pC. Given these charges, what would the magnitude and direction of the electric field be at cell A? (1 pC = 1 x 10-12 c.) Magnitude- Direction-You hold a ruler that has a charge on its tip 4.00 cm above a small piece of tissue paper to see if it can be picked up. The ruler has −10.0 µC of charge. The tissue has 1.00 g of mass. What is the minimum charge required to pick up the tissue paper?