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Homework Answers
The electric potential due to a charge q at a distance l = Kq/l
A)For part A, take a small charge dQ of length dx. Therefore small potential dv due to dq = kdq/√z 2 + x 2
We integrate this potential for dx varying from - L/2 to + L/2
( Also we have written x and z in the form of tan theta and sec theta for easier integration)
B) Take a charge dQ of length Dy at a distance y from point B.
Therefore, dv= kdq/y
Integrate dv from length y varying from (- L/2 + x) to (+L/2 + x)
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60 points (10 points per problem)- Problem 1: The figure on the right shows a thin rod of length L. A total charge of Q is distributed uniformly along its length. Find an expression for the vector electric field at point P. Give your answer in component form. Answer:
The correct answers are already given. What you have to do is
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Problem 1: An early model of the atom, proposed by positive point charge +Ze (the nucleus) at the center of a sphere of radius R with uniformly distributed negative charge -Ze. Zis the atomic number, the number of protons in the nucleus and the number of electrons in the negative sphere after his discovery of the atomic nucleus, had a a. Show that...
The correct answer is already given. What you have to do is how
to get those answers.
Problem 5:* An infinite slab of charge of thickness 2zo lies in the xy-plane between zZ0 and z-zo. The volume charge density p (expressed in C/m3) is constant. a. Use Gauss's law to find an expression for the electric field strength at coordinate z inside the slab i b. Find an expression for the electric field strength above the slab (z2 z0). c....
The correct answers are already given. What you have to do is
how to get those answers.
Problem 2: A long coaxial cable (see figure) carries a uniform volume charge density Pl on the inner cylinder (radius a), and a uniform surface charge density p2 on the outer cylindrical shell (radius b) p is negative and is of just the right magnitude that the cable asa whole is electrically neutral a. Find the electric field in each of the three...
The correct answer is already given. What you have to do is how
to get this answer.
Problem 2: A square loop of side a is placed in the xy-plane and centered on the origin. Find the electric field a distance z above the loop, which carries a uniform line charge density λ [Answer:
The correct answer is already given. What you have to do is how
to get this answer.
Problem 3: Consider a disk of radius R in the xy-plane with a non-uniform surface charge density σ(r)-ar, where a > 0 is a constant. Determine the electric field at a point z above the disk, along its axis of symmetry. [Answer:2k,zanV2+R2+R-Inz-
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