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- = Adx. Then find the net field by integrating dE over the length of the rod. Use the following as The charge per unit length on the thin rod shown below is 2. 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 . necessary: L, a, 2, and ɛn. Enter the magnitude. Assume that A is positive.) L A 1 E = 4ne L+A aThe charge per unit length on the thin rod shown below is 1. 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 = 1 dx. Then find the net field by integrating dE over the length of the rod. Use the following as necessary: L, a, 1, and ɛn: Enter the magnitude. Assume that 1 is positive.) E =Charge is distributed throughout a spherical volume of radius R with a density p = ar², where a is a constant (of unit C/m³, in case it matters). Determine the electric field due to the charge at points both inside and outside the sphere, following the next few steps outlined. Hint a. Determine the total amount of charge in the sphere. Hint for finding total charge Qencl = (Answer in terms of given quantities, a, R, and physical constants ke and/or Eg. Use underscore ("_") for subscripts, and spell out Greek letters.) b. What is the electric field outside the sphere? E(r> R) = c. What is the electric field inside the sphere? Hint for E within sphere #3 Question Help: Message instructor E(r < R) = Submit Question E с $ 4 R G Search or type URL % 5 T ^ MacBook Pro 6 Y & 7 U * 8 9 0 0
- A sphere of radius R has total charge Q. The volume charge density (C/m') within the sphere is p(r) = C/r² , where C is a constant to be determined. 1. Use the expression to find a magnitude of an electric field strenght E : a) inside the sphere (rThe figure below shows part of an infinitely long, nonconducting line of charge with uniform positive charge per unit length ?. Determine the magnitude E of the electric field at a distance r from the line. Your answer should be expressed in variable form. (Use the following as necessary: ?, r, and ?0. Do not substitute numerical values; use variables only.)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.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.A negatively-charged object creates an electric field which can be measured at various locations in the region about it. An electric field vector is drawn for point X. Use your understanding of the electric field - distance relationship to draw E vectors for points A - E. (The length of the arrow should be indicative of the relative strength of the E vector.)Human nerve cells have a net negative charge and the material in the interior of the cell is a good conductor. If the cell has a net charge of -8.65 pC, what are the magnitude and direction(inward at outward) of the net flux through the cell boundary? What is the charge density passing through the cell? Assume that the portion of the cell in question is spherical. Show complete solution. Given: Required: Equation: Solution: Answer:Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference. What is the direction of the electric field at any point on the z axis? What is the magnitude of the electric field along the positive z axis? Use k in your answer, where k=1/4πϵ0.Calculate the x-component of the electric field produced by the charge distribution Q at points on the positive x-axis. Positive charge Q is distributed uniformly along the positive y-axis between y = 0 and y = a. Anegative point charge -g lies on the positive x-axis, a distance z from the origin (the figure (Figure 1). Express your answer in terms of some or all of the variables Q. z, y, a, and constant k. ? Ex = a Calculate the y-component of the electric field produced by the charge di: Express your answer in terms of some or all of the variables Q. z. y. u. au vUIIaLas K- O I9 Ey = Calculate the x-component of the force that the charge distribution Q exerts on q. Express your answer in terms of some or all of the variables Q. z, y. a, and constant k. ΑΣΦ ? F; = Calculate the y-component of the force that the charge distrībution Q exerts on g. Express your answer in terms of some or all of the variables Q. z. y. a. and constant k VO JAZO O I9 ? F; =Charge is distributed throughout a spherical shell of inner radius ₁ and outer radius r2 with a volume density given by p= Por1/r, where po is a constant. Following the next few steps outlined, determine the electric field due to this charge as a function of r, the distance from the center of the shell. Hint a. Let's start from outside-in. For a spherical Gaussian surface of radius r>r2, how much charge is enclosed inside this Gaussian surface? Hint for finding total charge Qencl (Answer in terms of given quantities, po, r1, 72, and physical constants ke and/or Eo. Use underscore ("_") for subscripts, and spell out Greek letters.) b. What is the electric field as a function of r for distances greater than r₂? Finish the application of Gauss's Law to find the electric field as a function of distance. E(r> r₂) c. Now let's work on the "mantle" layer, r₁SEE MORE QUESTIONSRecommended textbooks for youPhysics for Scientists and Engineers: Foundations…PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers: Foundations…PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning