y L/2 dy D -L/2
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A charge Q=5.8×10−4 C is distributed uniformly along a rod of length L, extending from =−29.7/2 cm to =+29.7/2 cm, as shown in the diagram below. A charge q=7.8×10−6 C, and the same sign as Q, is placed at (D,0), where D=71 cm.
Use integration to compute the total force on q in the x direction.
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- Needs Complete typed solution with 100 % accuracy.Four identical charged particles (q = +10.4 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 61.2 cm and W = 15.7 cm. (a) Calculate the magnitude of the total electric force exerted on the charge at the lower left corner by the other three charges. N(b) Calculate the direction of the total electric force exerted on the charge at the lower left corner by the other three charges. ° (counterclockwise from the +x-axis)Positive charge Q is distributed uniformly along the x-axis from x = 0 to x = a. A positive point charge q is located at x = a + r (see figure on the right). (a) Find the electric field due to the charge Q at the location of (at x = a + r). (b) Find the electric force that Q exerts on q. Show that for the I Qq and limiting case r >> a, the force reduces to F %! a. 4Tɛ, r² explain why you achieve this result.
- Consider three charges arranged in a triangleas shown. What is the net electric force on the chargeat the origin? The value of the Coulombconstant is 8.99 × 10^9 N · m^22/C^2.Answer in units of N. What is the direction of this force (as an anglebetween −180◦and +180◦ measured from thepositive x-axis, with counterclockwise positive)?Answer in units of ◦ What is the magnitude of the net electric fieldat the position of the charge at the origin?Answer in units of N/C. What is the direction of the net electric field(as an angle between −180◦and +180◦ measured from the positive x-axis, with counterclockwise positive).Answer in units of ◦.Identical isolated conducting spheres 1 and 2 have equal charges and are separated by a distance that is large compared with their diameters (Figure 1a). The electrostatic force acting on sphere 2 due to sphere 1 is F (vector). Suppose now that a third identical sphere 3, having an insulating handle and initially neutral, is touched first to sphere 1 (Figure 1b), then to sphere 2 (Figure 1c), and finally removed (Figure 1d). The electrostatic force that now acts on sphere 2 has magnitude F'. What is the ratio F'/F?Two equal charges Q are positioned at points (x=L,y=0) and (x=−L,y=0). Part A) Determine the electric field as a function of y for points along the y axis.Express your answer in terms of the variables and appropriate constants. Part B) Find where the field is a maximum. Express your answer in terms of the variables Q, L, and appropriate constants. If there is more than one answer, separate them by a comma.
- Part B:How much charge is on a segment ds? Express your answer in terms of some, all, or none of the variables Q, a, θ, dθ, and the constant π. dQ = ?A small metal ball with positive charge q and mass m is attached to a very light string, as shown in (Figure 1). A larger metal ball with negative charge −Q is securely held on a plastic rod attached to the ceiling. The distance between the balls' centers is r. Write an expression for the magnitude of the force T that the string exerts on the ball. Express your answer in terms of the variables q,m,Q, r, and constants k_C and g.You have the same line of charge in the previous problem (with +6.00 nC of charge on it). But now you are measuring the electric field 1.5 m above the center of the rod – see image below. Predict the electric field at Point P in this diagram. Make sure to include a direction with your answer.
- A positive charge q is fixed at point (3,4) and a negative charge −q is fixed at point (3,0). Determine the net electric force F→net acting on a negative test charge −Q at the origin (0,0) in terms of the given quantities and physical constants, including the permittivity of free space ε0. Express the force using ij unit vector notation. Enter precise fractions rather than entering their approximate numerical values.Why is C the answer?I need help figuring out this problem.A negative point charge Q1, is located at the origin. A rod of length L is located along the x axis with the near side a distance d from the origin. A positive charge Q2, is uniformly spread over the length of the rod. After integrating the force from each slice over the length of the rod, the magnitude of the electric force on the charge at the origin can be represented as the following: F = (k |Q1| |Q2|) / (d (d + L)) Let L = 2.22m, d = 0.42m, Q1 = -6.29µC, and |Q2| = 11.1µC. Calculate the magnitude if the force in newtons that the rod exerts on the point charge at the origin.