4) Electric field of a rod. Consider a nonconducting rod of length L with a charge quniformly distributed along its length. We want to know the magnitude of the electricfield a distance x away from one end as shown below.XL, with q evenly distributedExplain why EACH of the four answers below is WRONG. Consider symmetry,dimensions, unit analysis, behavior in limiting cases, and/or behavior at particularpositions. You SHOULD NOT actually solve the problem and your answer shouldn't bebecause the correct answer is this. This is good practice in considering the nature of youranswer...а) Е:b) E =4πε, L(x + L)4TE,x(x – L)c) E =d) E =4л, (х? + L/4)4лєрх(2х + L)5) Electric field of a rod again--this time with calculus and a different geometry•Part a: A thin nonconducting rod of length L has charge q uniformly distributed along itas shown in Fig. 22-55 (associated with problem 32). SHOW that the magnitude of theelectric field at point P (on the perpendicular bisector of the rod) is given by:12 TE,R JĽ² +4R²If your integral calculus is rusty, you might want to look at Appendix E in your text.(Again, since I've given you the final form, you must SHOW the steps leading to theresult above.)•Part b: Justify the functional form of your expression for E, by considering what itreduces to in the limit of R>>L. Is this expression what you expect? Also find anexpression for the opposite limit of L>>R. We will discuss this shortly in the context ofGauss' law, so remember what this is!

4) Electric field of a rod. Consider a nonconducting rod of length L with a charge q uniformly distributed along its length. We want to know the magnitude of the electric field a distance x away from one end as shown below. L, with q evenly distributed Explain why EACH of the four answers below is WRONG. Consider symmetry, dimensions, unit analysis, behavior in limiting cases, and/or behavior at particular positions. You SHOULD NOT actually solve the problem and your answer shouldn’t be because the correct answer is this. This is good practice in considering the nature of your answer.. a) E = b) E = Απε, L (x + L) ΑπεοX(x-L) c) E = d) E = Απε, (x + LI4) 4tɛ,x(2x+ L)

4) Electric field of a rod. Consider a nonconducting rod of length L with a charge q uniformly distributed along its length. We want to know the magnitude of the electric field a distance x away from one end as shown below. L, with q evenly distributed Explain why EACH of the four answers below is WRONG. Consider symmetry, dimensions, unit analysis, behavior in limiting cases, and/or behavior at particular positions. You SHOULD NOT actually solve the problem and your answer shouldn’t be because the correct answer is this. This is good practice in considering the nature of your answer.. a) E = b) E = Απε, L (x + L) ΑπεοX(x-L) c) E = d) E = Απε, (x + LI4) 4tɛ,x(2x+ L)

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.27P

See similar textbooks

Similar questions

Three point charges are initially infinitely far apart. Then, as figure shows, they are brought together and placed at the corners of an equilateral triangle. Each side of the triangle has a length of 0.50m. Determine the electric potential energy of the triangular group. In other words, determine the amount by which the electric potential energy of the group differs from that of the three charges in their initial, infinitely separated, locations.
Solve the linear system described by a space model below:
Derive an expression for the unknown resistance and unknown inductance of Maxwell's bridges with a neat circuit representation. Please answer i will like it....... This question from measurement
An infinitely large flat surface has a surface density of electric charge. The surface moves with constant velocity in a parallel direction. Show that the differential version of the Poynting theorem holds at all points above and below the surface.
A metal rod having a mass m and length l has resistance R. The rod hangs from two vertical metallic wires of length l in a uniform vertical magnetic field B of a horseshoe magnet (see figure). The wires have negligible resistance. An AC voltage source is connected between the wires which provides a voltage U(t) = U0 cos ωt, where U0 and ω are constants. a) Show that for small angular displacements φ the motion of the rod can be described by the equation U(t) = αφ ̈ + βφ ̇ + γφ, and express the constants α, β, γ in terms of quantities m, l, B, R and the gravitational acceleration g. b) At a certain frequency ω = ω0 the amplitude of the oscillations of the rod becomes large and the equation above does not describe themotion anymore. Estimate the frequency ω0.
A plastic ball with a mass of 2 grams is hung on a 10 cm long thin rope as in the spherical figure,a uniform electric field is applied in the + x direction. When the rope is made at an angle of 15 ° verticallyIf the ball is in equilibrium, calculate the net load (in uC) on the plastic ball.
i.A soccer goal, found is a city park, is made up of tubing that supports an odd-shaped hanging net behind the goal, but has a rectangular opening in front. The height of the opening is 2.5m and the width is 3.2m. If a uniform E-field, with a magnitude of 0.1N/C, passes through the goal from the front to the back, entering at 90 degrees to the plane of the goal opening, what is the flux through the net? Also, find the flux through the net if the E-field enters the goal at 60 degrees angle to the plane of the front goal. In both cases, assume that there no charge found inside the goal itself ii.Explain why the electric field intensity, E is zero inside a conductor under static conditions.
Please write to text format The charge per unit length on the thin rod shown below is ?. What is the electric field at the point P? (Hint: Solve this problem by first considering the electric field dE at P due to a small segment dx of the rod, which contains charge dq = ? dx. Then find the net field by integrating dE over the length of the rod. Use the following as necessary: L, a, ?, and ?0. Enter the magnitude. Assume that ? is positive.) E
The photo below includes both the problem and its solution. Please represent this scenario in spatial coordinates and provide an explanation of the concept.
Problem Description Two small metal spheres A and B have different electric potentials. Sphere A has charge qA = -6x10-6 C and sphere B has charge qB = +2x10-6 C. The radius of sphere A is 0.25 m and the radius of sphere B is 0.50 m. The two spheres are then connected with a wire. Instructions In a neat and organized fashion, write out a solution which includes the following: A sketch of the physical situation with all given physical quantities clearly labeled. If the description above consists of an initial and final state, both of these states should be represented in your sketch. Draw charge diagrams of the spheres before and after they are connected. Charges may be drawn directly on your sketches. Describe in words and mathematically what happens if you connect the spheres with a wire. Calculate the final charge on each sphere after they are connected. What assumptions did you make? Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your…
Class: Electromagnetics Consider a uniformly charged solid cylinder with length L and radius R as shown below. Determine the electric potential at a distance z from the right side. Take the origin of the system at the point where you will find the potential.
Two 1.20 m non-conductive wires form a right angle. A segment has +2.50 µC of charge, distributed evenly along its length; while the other segment has -2.50 µC of charge, distributed uniformly along its length, as illustrated in the ﬁgure. Find the magnitude and direction of the electric field produced by these wires at point P, which is 60.0 cm from each wire.