Hold the charges rod horizontally. Use a charges pith ball to explore the region around the rod. On the basis of your observation, sketch a vector to represent the net electric force on the ball at each of the points marked by an “×.”
Is all of the charge on the rod located at a single point? (e.g., Is all the charge at the tip of the rod? At the middle?) Explain how you can tell.
On the basis of the vectors you have drawn, is it appropriate to consider the charged rod as a point charge? Explain.
Learn your wayIncludes step-by-step video
Chapter 5 Solutions
Tutorials in Introductory Physics
Additional Science Textbook Solutions
Lecture- Tutorials for Introductory Astronomy
University Physics with Modern Physics (14th Edition)
Introduction to Electrodynamics
The Cosmic Perspective
Essential University Physics: Volume 1 (3rd Edition)
Essential University Physics: Volume 2 (3rd Edition)
- Three charges are positioned at the cornets of a parallelogram as shown below. (a) If Q=8.0C what is the electric field at the unoccupied comer? (b) What is the force on a 5.0C charge placed at this corner?arrow_forwardThe angle between the two short sides is 90°. The two short sides of the triangle have length a. Investigate the net force on the charge (q) in the lower right corner due to the other two charges (q, -q). As needed, assume a right-handed coordinate system shown below: (A) What is the magnitude of the net force on the charge in the lower right corner due to the other charges? Use symbols for the answer. (B) Make a sketch of the net force vector on the x-y axes below with the tail of the arrow at the origin. Label the angle with the x-axis. What quadrant does the vector lie in? Your picture should indicate the correct quadrant.arrow_forwardGiven the diagram on the right, solve for the total electrostatic force experienced by the charge on the upper right corner.arrow_forward
- The figure below shows a section of a very thin, very long, straight rod with a uniform charge per unit length of λ. Point O is a perpendicular distance d from the rod. A spherical gaussian surface is centered at point O and has a radius R. (Use any variable or symbol stated above along with the following as necessary: ε0.) A)What is the electric flux through the spherical surface if R < d? B)What is the electric flux through the spherical surface if R > d?arrow_forwardA thin rod of length, L, is placed on the +x axis with its left end on the origin (0,0) as show in the diagram to the right. The rod has a charge +Qspread uniformly along its length. The point P is on the x axis a distance r from the origin. a.Set up the integral to find the electric field at point P.Clearly show your steps. b.Compute the electric field at point P.arrow_forwardA simple model of a hydrogen atom is a positive point charge +e (representing the proton) at the center of a ring of radius aa with negative charge −e distributed uniformly around the ring (representing the electron in orbit around the proton). Find the magnitude of the total electric field due to this charge distribution at a point a distance aa from the proton and perpendicular to the plane of the ring. Express your answer in terms of variables e, a, and the electric constant ϵ0. May you please help by showing me how to calculate for "E". Thanks!arrow_forward
- Two charges A (+30 μC) and B (–40 μC) are 60 cm apart. What is the net fieldstrength at a point midway between them? *do not answer this question just for reference* What is the net electric field intensity at a point 20 cm to the left of charge A in No.1? Assume that the point and the charges are collinear. (Draw appropriate vector diagrams and label all vectors)arrow_forwardUse GFSA (Given, Find, Solution, and Answer) on the given space below. Encircle your final answer, write it in scientific notation with 2 decimal places (if possible). An cylinder with radius 1 m and length 1.5 m has an infinite line of charge with a linear charge density of 30 C/m. (Make an illustration of the problem) (a) What is the total charge enclosed by the Gaussian cylinder? (b) What is the electric flux through the cylinder due to the infinite line of charge? (c) Calculate the electric field at a point 3 m away from the infinite line of charge.arrow_forwardAssume a uniformly charged ring of radius R and charge Q produces an electric field E ringat a point P on its axis, at distance x away from the center of the ring as in Figure a. Now the same charge Q is spread uniformly over the circular area the ring encloses, forming a flat disk of charge with the same radius as in Figure b. How does the field E disk produced by the disk at P compare with the field produced by the ring at the same point?arrow_forward
- You have a very (infinitely) long solid conducting cylinder with length L, base radius R, and total charge +Q. (a) Use Gauss’s law to find the electric field vector inside and outside the cylinder. Explain your reasoning. You can give a verbal description of the electric field vector direction. (b) Similar to how we found the electric field outside a conducting sphere to look like that of a point particle, what does the electric field outside the cylinder look like? (c) Would the electric field inside the cylinder stay the same if the cylinder was instead insulating and uniformly charged? Explain why or why not?arrow_forwardConsider a solid spherical conductor of radius R and charge Q at electrostatic equilibrium shown below. C is located at a distance 2R and D at a distance 3R. Find the electric field at each point. What is the correct ranking of Points A, B, C, and D according to the value of electric field at their locations? Explain why. A. A > B > D = C B. D > A > B = C C. B > C > D = A D. C > D > B = Aarrow_forwardA thin rod of length ℓ and uniform charge per unit length λ lies along the x axis as shown in the figure below. (a) Show that the electric field at P, a distance d from the rod along its perpendicular bisector, has no x component and is given by E = 2keλsinθ0/d. (b) Using your result to part (a), show that the field of a rod of infinite length is E = 2keλ/d.arrow_forward
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill