Consider a thin plastic rod bent into an arc of radius Rand angle a (see figure below). The rod carries a uniformly distributednegative charge Q-QAIRWhat are the componentsand E, of the electric field at the origin? Follow the standard four steps.(a) Use a diagram to explain how you will cut up the charged rod, and draw the AE contributed by a representative piece.(b) Express algebraically the contribution each piece makes to the and y components of the electric field. Be sure to showyour integration variable and its origin on your drawing. (Use the following as necessary: Q, R, cx, 0, A0, and EQ-)ΔΕ, =-TE aR²AB=(2Lower limit= 0 ✓eaR²Upper limit= a Xcos(0)40 x(c) Write the summation as an integral, and simplify the integral as much as possible. State explicitly the range of yourintegration variable.sin (0)40 xEvaluate the integral. (Use the following as necessary: Q, R, a, and E.)Edit

Answered: Image /qna-images/answer/26dd438c-5fb0-4057-b8bf-66632b969cac.jpg

Consider a thin plastic rod bent into an arc of radius Rand angle (see figure below). The rod carries a uniformly distributed negative charge-Q A /R a What are the components, and of the electric field at the origin? Follow the standard four steps. Edit

Consider a thin plastic rod bent into an arc of radius Rand angle (see figure below). The rod carries a uniformly distributed negative charge-Q A /R a What are the components, and of the electric field at the origin? Follow the standard four steps. Edit

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: In the figure an electron (e) is to be released from rest on the central axis of a uniformly charged…

Q: I need help with part A and Part B can you label which one is A and B

Q: A charge of 3.00 nC is uniformly distributed along a rod of length 2.00 m. The rod is held fixed in…

Q: Draw the direction of the net force on the charge at the center. Please help explain where it should…

Q: please don't provide handwriting solution

A: Briefly, the image shows part of a slope-deflection solution to find reactions Ay and Cy. Here's…

Q: Part 1: The Charged Semi-Circular Hoop A thin plastic rod is bent into the shape of a semicircle of…

Q: Cse the following diogram for the next two questions. Fig. C Fig. A Fig. B In the diogram shown, a…

A: A charged object is touched to the sphere.

Q: In the example calculation of the electric field of a long straight rod... • What range of values…

A: Electric Field The electric field is a region in space around a charge or a system of charge, such…

Q: What is the new charge density on the outside of the sphere? A hollow, conducting sphere with an…

A: Given data : Outer radius rout = 0.260m Inner radius rin = 0.200m Inner surface charge density…

Q: The collector sphere, or dome, of a Van de Graaff generator builds a net charge of 3.5 x 10-3 C.…

Q: A charge q1 of 40 µC is placed at the origin of the xy-Coordinate system and a charge q2 of -76 µC…

A: Given : Charge Q1 = 40 x 10-6 C is at origin. Charge Q2 = -76 x 10-6 C is at 29 m in x axis. Charge…

Q: d) What are the charges on the inner surfaces of the slabs? e) You should have found that the…

A: d) Both the charges are equal and opposite in the inner surface.

Q: The figure shows two parallel nonconducting rings with their central axes along a common line. Ring…

Q: Consider the symmetrically arranged charges in the figure, in which qa = q = -3.75 µC and 9, 9c = 9d…

Q: A charge of -3.00 nC is placed at the origin of an xy-coordinate system, and a charge of 2.15 nC is…

A: Concept: The vector sum of the components of the electric force due to each charge is effectively…

Q: The electric field on the axis of a uniformly charged ring has magnitude 350 kN/C at a point 5.8 cm…

A: Electric filed due to the axis of the charged ring at x distance from the center is given as, Here R…

Q: a. Suppose a thin spherical shell has a uniform charge density on its surface of o 1.50 x 10-7 C/m²…

Q: Consider a negative source charge Q that is uniformly distributed along a semicircle radius R and a…

Q: 1. Consider a thin ring of radius R. The ring is uniformly charged with a total charge Q. Write an…

A: Note: Since we only answer up to 1 question, we’ll answer the first question. Please resubmit the…

Q: An electric field is described by the vector E = Axi + Ayj+Azkwhere Ais a suitably sized constant…

Q: A uniformly charged conducting sphere of 1.3m diameter has a surface charge density of 9.4 uC/m².…

Q: Select the answers which complete the statements below (or enter D if one cannot tell). E.g., if…

A: (i) Explanation: As we know, when a positive point charge is introduced close to a neutral…

Q: Consider a uniform line charge tha0t is bent into a half circle as shown to the right. The total…

Q: A uniformly charged rod of length L is bent into an arc of radius R. Total charge on the rod is Q.…

Q: R 4R Cutout View Cross-Section View Note: Figures not drawn to scale. A nonconducting sphere of…

Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

Consider a thin plastic rod bent into an arc of radius Rand angle a (see figure below). The rod carries a uniformly distributed
negative charge Q
-Q
A
IR
What are the components
and E, of the electric field at the origin? Follow the standard four steps.
(a) Use a diagram to explain how you will cut up the charged rod, and draw the AE contributed by a representative piece.
(b) Express algebraically the contribution each piece makes to the and y components of the electric field. Be sure to show
your integration variable and its origin on your drawing. (Use the following as necessary: Q, R, cx, 0, A0, and EQ-)
ΔΕ, =
-
TE aR²
AB=(2
Lower limit= 0 ✓
e
aR²
Upper limit= a X
cos(0)40 x
(c) Write the summation as an integral, and simplify the integral as much as possible. State explicitly the range of your
integration variable.
sin (0)40 x
Evaluate the integral. (Use the following as necessary: Q, R, a, and E.)
Edit

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Ans me please
Answer all parts of the PHYSICS problem please
H
Please solve with the full step, for the answer is below the question. Please work on social problems in a complete way with reference to the answer, Thank you
L/2+ L/2 Note: Figure not drawn to scale. 1. A very long, thin, nonconducting cylinder of length L is centered on the y-axis, as shown above. The cylinder has a uniform linear charge density +2.. oint. is located on the y-axis at y = c, where L >> ¢. a) Kecling.c Abh ri gle Circle GEOMETRY AND TRIGONOMETRY i. On the figure shown below, draw an arrow to indicate the direction of the electric field at point F due to the long cylinder. The arrow should start on and point away from the dot. ii. escribe the shape and location of a Gaussian surface that can be used to determine the electric field at point P due to the long cylinder. iii. Use your Gaussian surface to derive an expression for the magnitude of the electric field at point P. E press your answer in terms of 2, c, L, and physical constants, as appropriate. A==bh A = r² C = 277 =r8 Rectangular Solid Vi h Cy.inder Sphere V = r²t Sm V=² S-427² sine Rig Triangle 2+6²=c² cos@= tan= +2 BIL a b C 2x. Q b ADVANCED PLACEMENT PHYSICS C…
please verify if all these are correct. thank you!
A charge +QQ is located at the origin and a second charge, +8 QQ, is at distance dd on the xx-axis. 1.Where should a third charge, qq, be placed, so that all three charges will be in equilibrium? Express your answer numerically as a multiple of dd 2.What should be its sign, so that all three charges will be in equilibrium? 3.What should be its magnitude, so that all three charges will be in equilibrium? Express your answer numerically as a multiple of QQ