20. In Figure 40.9, why aren't there three points put on the x-plane, two points on...
In this exercise you will figure out the equipotential point/points(s)/line/surface in the xy plane where V = 0 for two point charges of charge q and -2q found respectively at (x,y,z) = (-1,0,0) and (x,y,z) = (1,0,0), and draw the result on Fig. ??. (a) Given that V is a scalar, equipotentials generally form surfaces in three di- mensions. This contrasts with the electric field, where we found only one position where it was zero for a pair of point...
(10 points) Three point charges are positioned in the x-y plane as follows: 5 nC at y=5 cm,-10 nC at y=-5cm, and 15 nC at x=-5 cm. Find the x.y coordinates of a 20 nC fourth charge that will produce a zero electric field at the origin. 4.
In the figure below, three point particles are fixed in place in the ry plane. Particle 1 has a massm, particle 2 has a mass m2-2m, and particle 3 has a mass m3 3m. +y m3 O- m1 +x 1.5d 1. What is the direction relative to the r axis of the net gravitational force exerted on particle 3 by the 2. What is the direction of the net gravitational field at the point (z =-1.5d, y = d) if...
Three small but dense objects are located in the x-y plane as shown in the figure. The objects have the following masses: mA = 3.77 kg, mB = 2.91 kg and mC = 1.77 kg. Determine the x and the y coordinates of the center of the mass of this system. All three objects are small in size, they can be treated as point masses. 2 : A x (m)
1. A total charge of Q is uniformly distributed around the perimeter of a circle with radius a in the x-y plane centered at origin as shown in Figure P4. (a) Find the electric field at all points on the z axis, i.e., (0,0,z). (b) Use the result you obtain in (a) to find the electric field of an infinite plane of charge with surface charge density ps located at the x-y plane. 2. Find the electric field due to a...
Question 20 (7 points) Two long straight wires carry currents perpendicular to the xy-plane. One wire carries a current of 50 A and passes through the point x = 5.0 cm on the x-axis. The second wire has a current of 80 A and passes through the point y = 4.0 cm on the y- axis. What is the magnitude of the resulting magnetic field at the origin? 200 ut 300 uT 400 uT 450 uT 600 uT
The 5th page of lecture 24: 2. Consider a circular current loop of radius R placed in the xy plane as shown in the figure. It is centered at the origin and viewed down from the positive z-axis the current, lo, flows anti-clockwise. Radius = R a. In what direction does the magnetic field point at the red point in the figure, Fa? Explain clearly why this is true. current b. Since B-VxA, in which plane does Alie. Explain clearly...
Find the equation for a plane containing 3 points: A(2, 2,1) in the form: ax+by+cz+d = 0 C(0, -2,1). Put the plane equation B(3,1, 0) х — 3 z+2 = y+5 = 2 L: Find the intersection point between 2 lines whose symmetric equations are: 4 х-2 L, : у-2 = z-3 -3 Find the parametric equation for a line that is going through point A(2,4,6) and perpendicular to the plane 5х-3у+2z-4%3D0. Name: x-3y4z 10 Find the distance between 2...
the figure shows a vector force field F(x,y) mapped in the x-y plane. (It depicts a vector quantity whose magnitude and direction varies only with x and y, Not z). Several points (A, B, and C) are indicated, and a (dashed) path from A to B is shown. F(x, y) =
1 point) Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x2 + y2-4 and bounded above by the plane z = x and below by the xy-plane. z=x FIGURE 1 1 point) Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x2 + y2-4 and bounded above by the plane z = x and below by the xy-plane. z=x FIGURE 1