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1. Consider a thin ring of radius R. The ring is uniformly charged with a total charge Q. Write an expression for the linear charge density 1 of the ring. Linear charge density 2. The ring has rotational symmetry. That means the object can be rotated about a fixed axis without changing the overall shape. Which one is this axis? (Call it axis of symmetry). Make a small sketch of the ring and its axis of symmetry. Your goal for the next parts is to calculate the net electric field due to the charged ring at a point P located at a distance z from the center of the ring along the axis of symmetry of the ring. 3. Make a sketch of the ring and the point P. Imagine to divide the ring in many tiny elements of charge dq. Inspecting the symmetry of the problem, what do will be the direction of the net electric field at point P? you think

1. Consider a thin ring of radius R. The ring is uniformly charged with a total charge Q. Write an expression for the linear charge density 1 of the ring. Linear charge density 2. The ring has rotational symmetry. That means the object can be rotated about a fixed axis without changing the overall shape. Which one is this axis? (Call it axis of symmetry). Make a small sketch of the ring and its axis of symmetry. Your goal for the next parts is to calculate the net electric field due to the charged ring at a point P located at a distance z from the center of the ring along the axis of symmetry of the ring. 3. Make a sketch of the ring and the point P. Imagine to divide the ring in many tiny elements of charge dq. Inspecting the symmetry of the problem, what do will be the direction of the net electric field at point P? you think

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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PHY E222 uiz 5 due 2/24; please review lecture slides and textbook prior to completing this assignment. Electric field of a ring of charge 1. Consider a thin ring of radius R. The ring is uniformly charged with a total charge Q. Write an expression for the linear charge density 1 of the ring. Linear charge density 2. The ring has rotational symmetry. That means the object can be rotated about a fixed axis without changing the overall shape. Which one is this axis? (Call it axis of symmetry). Make a small sketch of the ring and its axis of symmetry. Your goal for the next parts is to calculate the net electric field due to the charged ring at a point P located at a distance z from the center of the ring along the axis of symmetry of the ring. 3. Make a sketch of the ring and the point P. Imagine to divide the ring in many tiny elements of charge dq. Inspecting the symmetry of the problem, what do you think will be the direction of the net electric field at point P?
Transcribed Image Text:PHY E222 uiz 5 due 2/24; please review lecture slides and textbook prior to completing this assignment. Electric field of a ring of charge 1. Consider a thin ring of radius R. The ring is uniformly charged with a total charge Q. Write an expression for the linear charge density 1 of the ring. Linear charge density 2. The ring has rotational symmetry. That means the object can be rotated about a fixed axis without changing the overall shape. Which one is this axis? (Call it axis of symmetry). Make a small sketch of the ring and its axis of symmetry. Your goal for the next parts is to calculate the net electric field due to the charged ring at a point P located at a distance z from the center of the ring along the axis of symmetry of the ring. 3. Make a sketch of the ring and the point P. Imagine to divide the ring in many tiny elements of charge dq. Inspecting the symmetry of the problem, what do you think will be the direction of the net electric field at point P?
4. Consider an element of charge dg on the ring, write the magnitude of the electric field due to this element of charge at point P. Introduce a coordinate system to define the variables you may need. 5. Based on your answer to part 3. and therefore the symmetry of the problem, write the electric field magnitude at point P due to the element of charge dq, after taking into account of any cancellation (for example if only the y-component survives, or only the x-component, and so multiply by the appropriate cosine or sine of the appropriate angle).
Transcribed Image Text:4. Consider an element of charge dg on the ring, write the magnitude of the electric field due to this element of charge at point P. Introduce a coordinate system to define the variables you may need. 5. Based on your answer to part 3. and therefore the symmetry of the problem, write the electric field magnitude at point P due to the element of charge dq, after taking into account of any cancellation (for example if only the y-component survives, or only the x-component, and so multiply by the appropriate cosine or sine of the appropriate angle).
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Given:
charge on ring = Q

radius of ring = R

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