3. A uniform electric field is directed due east. Point B is 2.00 m west of point A, point C is 2.00 m east of point A ,and point D is 2.00 m south of A. For each point B, Cand D ,is the potential at that point larger, smaller, or the same as at point A? Give the reasoning behind your answers.

3. A uniform electric field is directed due east. Point B is 2.00 m west of point A, point C is 2.00 m east of point A ,and point D is 2.00 m south of A. For each point B, Cand D ,is the potential at that point larger, smaller, or the same as at point A? Give the reasoning behind your answers.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 1P: A uniform electric field of magnitude 325 V/m is directed in the negative y direction in Figure...

See similar textbooks

Similar questions

It is shown in Example 24.7 that the potential at a point P a distance a above one end of a uniformly charged rod of length lying along the x axis is V=keQlln(l+a2+l2a) Use this result to derive an expression for the y component of the electric field at P.
A CD disk of radius (R = 3.0 cm) is sprayed with a charged paint so that the charge varies continually with radial distance r from the center in the following manner =(6.0C/m)r/R ?. Find the potential at a point 4 cm above the center.
The potential in a region between x = 0 and x = 6.00 m V = a + bx, where a = 10.0 V and b = -7.00 V/m. Determine (a) the potential at x = 0, 3.00 m, and 6.00 m and (b) the magnitude and direction of the electric field at x = 0, 3.00 m. and 6.00 m.
In what region of space is the potential due to a uniformly charged Sphere the same as that of a point charge? In what region does it differ from that of a point charge?
At a certain distance from a charged particle, the magnitude of the electric field is 500 V/m and the electric potential is 3.00 kV. (a) What is the distance to the particle? (b) What is the magnitude of the charge?
A proton is released from rest in a uniform electric field. Determine whether the following quantities increase, decrease, or remain unchanged as the proton moves. Indicate your answers with I (increase), D (decrease), or U (unchanged), respectively. (a) The electric potential at the protons location (b) The protons associated electric potential energy (c) Its kinetic energy (d) Its total energy.
Three particles with equal positive charges q are at the corners of an equilateral triangle of side a as shown in Figure P24.15. (a) At what point, if any, in the plane of the particles is the electric potential zero? (b) What is the electric potential at the position of one of the particles due to the other two particles in the triangle? Figure P24.15
A long thin wire is used in laser printers to charge the photoreceptor before exposure to light. This is done by applying a large potential difference between the wire and the photoreceptor. a. Use Equation 26.23, V(r)=20lnRr to determine a relationship between the electric potential V and the magnitude of the electric field E at a distance r from the center of the wire of radius R (r R). b. Determine the electric potential at a distance of 2.0 mm from the surface of a wire of radius R = 0.80 mm that will produce an electric field of 1.8 106 V/m at that point.
Consider two conducting spheres with radii R1 and R2 separated by a distance much greater than cither radius. A total charge Q is shared between the spheres. We wish to show that when the electric potential energy of the system has a minimum value, the potential difference between the spheres is zero. The total charge Q is equal to q1 + q2, where q1 represents the charge on the first sphere and q2 the charge on the second. Because the spheres are very far apart, you can assume the charge of each is uniformly distributed over its surface. (a) Show that the energy associated with a single conducting sphere of radius R and charge q surrounded by a vacuum is UE = keq2/2R. (b) Find the total energy of the system of two spheres in terms of the total charge Q, and the radii and R1 and R2. (c) To minimize the energy, differentiate the result to part (b) with respect to q1 and set the derivative equal to zero. Solve for q1 in terms of Q and the radii. (d) From the result to part (c), find the charge q2. (e) Find the potential of each sphere. (f) What is the potential difference between the spheres?
A uniform electric field of magnitude 325 V/m is directed in the negative y direction in Figure P20.1. The coordinates of point are (0.200, 0.300) m, and those of point are (0.400, 0.500) m. Calculate the electric potential difference using the dashed-line path. Figure P20.1
Your friend gets really excited by the idea of making a lightning rod or maybe just a sparking toy by connecting two spheres as shown in Figure 7.39, and making R2so small that the electric field is greater than the dielectric strength of air, just from the usual 150 V/m electric field near the surface of the Earth. If R1is 10 cm. how small does R2to be, and does this seem practical? (Hint: recall the calculation for electric field at the surface of a conductor from Gauss's Law.)
A particle with charge -40.0 nC is on the x axis at the point with coordinate x = 0. A second panicle, with charge -20.0 nC, is on the x axis at x = 0.500 in. (i) Is the point at a finite distance where the electric field is zero (a) to the left of .v = 0, (b) between x = 0 and x = 0.500 in, or (c) to the right of x m 0.500 in? (ii) Is the electric potential zero at this point? (a) No; it is positive, (b) Yes. (c) No; it is negative. (iii) Is there a point at a finite distance where the electric potential is zero? (a) Yes; it is to the left of x = 0. (b) Yes; it is between x = 0 and x = 0.500 in. (c) Yes; it is to the right of x = 0.500 in. (d) No.