Concept explainers
A negatively charged rod of finite length carries charge with a uniform charge per unit length. Sketch the electric field lines in a plane containing the rod.
To draw: The electric field lines in a plane containing the rod.
Answer to Problem 1P
The diagram of electric field lines in a plane containing the rod is
Figure (1)
Explanation of Solution
Introduction:
Field lines represent a uniform electric field penetrating a plane of the area perpendicular to the field. The electric field is a vector field around a charged particle. It represents the force that other charged particles would feel if placed near the particle creating the electric field.
If the charge is positive, field lines points radially away from the rod; if the charge is negative, field lines points radially towards the rod. As the charge is negative, the field lines points radially towards the rod.
The diagram below shows the electric field lines in a plane containing the rod
Want to see more full solutions like this?
Chapter 23 Solutions
Physics for Scientists and Engineers with Modern Physics
Additional Science Textbook Solutions
College Physics: A Strategic Approach (4th Edition)
Glencoe Physics: Principles and Problems, Student Edition
Tutorials in Introductory Physics
University Physics Volume 3
Conceptual Integrated Science
- Consider a thin, spherical shell of radius 14.0 cm with a total charge of 32.0 C distributed uniformly on its surface. Find the electric field (a) 10.0 cm and (b) 20.0 cm from the center of the charge distribution.arrow_forwardThe electric field at a point on the perpendicular bisector of a charged rod was calculated as the first example of a continuous charge distribution, resulting in Equation 24.15:E=kQy12+y2j a. Find an expression for the electric field when the rod is infinitely long. b. An infinitely long rod with uniform linear charge density also contains an infinite amount of charge. Explain why this still produces an electric field near the rod that is finite.arrow_forwardA uniformly charged rod of length L = 1.2 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 6.8 μC. A point P is located on the x-axis a distance a = 2.4 m to the right of the origin.Integrate the electric field contributions from each slice over the length of the rod to write an equation for the net electric field E at point P.arrow_forward
- A metal sphere of radius 10 cm carries a charge of +2 μC uniformly distributed over its surface. What is the magnitude of the electric field due to this sphere at a point 5 cm outside the sphere’s surface?arrow_forwardWhat is the magnitude and direction of the electric field at 0.25 m from a -5.6 x10-6 C point charge? A proton is released from rest in a uniform horizontal electric field. It travels 3.25 m for 5 us. Find the acceleration of the proton and the magnitude of the electric field. A solid insulating sphere of radius 0.07 m carries a total charge of 25µC. Concentric with this sphere is a conducting spherical shell of inner radius 0.12 m and outer radius of 0.18 m and carrying a total charge of -54 µC. Find (a) the charge distribution for the insulating sphere and the conducting spherical shell, and the magnitude of the electric field at the following distances from the center of the two spheres and shell: (b) 0.05 m, (c) 0.10 m, (d) 0.15 m, and (e) 0.25 m.arrow_forwardA rod 16 cm long is uniformly charged and has a total charge of 25 μC. Determine the magnitude of the electric field along the axis of the rod at a point 43 cm from the center of the rod. Note: Round off the answer to 2 decimal places.arrow_forward
- A point charge Q of -9.86 C and a large flat plate with surface charge density 2.15 C/m2 together create an electric field 5.03 m from the plate. Point P is a distance b = 9.25 m from at point P. Charge Q and point P are each a distance a = charge Q. Find the magnitude of the force exerted by the electric field on a particle with charge 4.54 nC placed at point P in the figure. Answer in units of N. plate (side view)arrow_forwardA thin rod of length L=6.7 m carries a uniform charge q=6.1 μC along its length. Take Coulomb's constant as k=9 x 109 N m2 / C2. Determine the magnitude of the electric field at point A. Express your answer using 1 decimal place without entering the units.arrow_forwardThis question checks that you can use the formula of the electric field due to a long, thin wire with charge on it. The field due to an infinitely long, thin wire with linear charge E = 12X Απερ η density is Imagine a long, thin wire with a constant charge per unit length of -2.3×10 C/m. What is the magnitude of the electric field at a point 10 cm from the wire (assuming that the point is much closer to the wire's nearest point than to either of its ends)? Give your answer in units of kN/C. -7arrow_forward
- Consider the semicircular ring of charge shown in the figure. The total charge of the ring is 2.5 μC and the radius of the ring is 0.45 m. a) What is the magnitude of the electric field, in newtons per coulomb, at point P, in the center of the semicircle?arrow_forwardA uniformly charged insulating rod of length 14.0 cm is bent into the shape of a semicircle. The rod has a total charge of -7.50μC. Find the magnitude and the direction of the electric field at O, the center of the semicircle.arrow_forwardThe figure below shows three circular arcs centered on the origin of a coordinate system. On each arc, the uniformly distributed charge is given in terms of Q = 6.00 μC. The radii are given in terms of R = 12.0 cm. (a) What is the magnitude of the net electric field at the origin due to the arcs? ______N/C(b) What is the direction of the field (relative to the positive x direction)?_______ ° counterclockwise from the +x-axis (please include units in your explanations so that I can follow easier)arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning