
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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The figure below shows a plastic rod of length L with a total charge Q evenly distributed over the rod. The rod is bent into an arc with a radius R and an angle of θ = 45°. What is the electric field (magnitude and direction) at the location indicated by the black dot?

Transcribed Image Text:x
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- A charged rod of total length 5.8 m lies centered on the x axis as shown (the L indicated in the picture is half of that number, meaning that L = 2.9 m). The rod has a charge density which varies according to λ=ax2 where a=−20.2 μC/m3. a) What is the total charge on the rod? b) What is the x component of the electric field at a point on the x axis a distance of D=4.2 m from the end of the rod? Use a negative sign for a field pointing in the -x direction.arrow_forwardThere is a +5C charge at the center of a hollow sphere made of a perfect conductor. The hollow sphere has a net charge of +2C, an inner radius of 0.5 m and an outer radius of 0.75 m. Calculate the electric field as a function of distance from the +5C charge and the charge on each surface of the hollow sphere.arrow_forwardThe figure below shows two lines of charge in cross-section coming out of the page. Each line of charge has a linear charge density of ±7.90 nC/cm and they are separated by a distance d = 23.0 cm. What is the magnitude of the electric field at the dot, a point y = 5.80 cm above the midpoint between the lines?arrow_forward
- Please please type the answer instead of writing, thanksarrow_forwardA small plastic ball of mass m = 1.50 g is suspended by a string of length L = 17.0 cm in a uniform electric field, as shown in the figure below. If the ball is in equilibrium when the string makes a ? = 17.0° angle with the vertical as indicated, what is the net charge on the ball? A ball of mass m is attached to a string of length L and suspended from the ceiling. The string makes an acute angle ? with the normal line from the ceiling, such that the string and ball are displaced to the right of the normal line. To the right of the string and ball, five parallel, evenly-spaced, identical arrows point to the right. The arrows are vertically stacked and labeled with E = 1.00 ✕ 103 N/C. To the left of the string and ball, x y-coordinate axes demonstrate that the +x-axis points to the right and the +y-axis points up.arrow_forwardA rod of length l = 5 m, is uniformly charged and has a total charge of 46 nC. What is the magnitude of the electric field (in N/C) at the point 'P' which lies along the axis of the rod and is 4.8 m from the center of the rod? E Parrow_forward
- There is a +5C charge at the center of a hollow sphere made of a perfect conductor. The hollow sphere has a net charge of +2C, an inner radius of 0.5 m and an outer radius of 0.75 m. Calculate the electric field as a function of distance from the +5C charge and the charge on each surface of the hollow sphere.arrow_forwardIn the figure a thin glass rod forms a semicircle of radius r = 5.94 cm. Charge is uniformly distributed along the rod, with +q = 4.76 pc in the upper half and -q = -4.76 pC in the lower half. What is the magnitude of the electric field at P, the center of the semicircle? Number i Units + Parrow_forwardIn the figure a nonconducting rod of length L = 8.39 cm has charge -q = -4.42 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magnitude and (c) direction (positive angle relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 12.7 cm from the rod? What is the electric field magnitude produced at distance a = 80 m by (d) the rod and (e) a particle of charge -q = -4.42 fC that replaces the rod?arrow_forward
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