College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- What is the electric potential in volts (realative to zero at infinity) at the origin for a charge of uniform density 14.62 nC/m is distributed along the z axis from z=2,5 m to z=5.78 m Round your answer to 2 decimal places.arrow_forwardin a certain region of space, the electric firld us zero. from this information, we can conclude that the electric potential in this region isarrow_forward(1) There is a line of charge with uniform charge density, 1 = +9.18 x 10-°C/m centered at the origin and oriented along the y-axis. The line of charge has a total charge +6.37x 10-°C. In order to find the electric potential caused by this line at a field point, (0,0,9.81cm), we will divide this line into individual points (referenced below). (a) What is the expression for the tiny amount of charge of one of these points in terms of given numbers and coordinates? (b) What is the value of the 1 for one of these points? (c) What are the bounds of the integral? (d) What is the total potential from this line of charge at the field point indicated above? (e) Draw a qualitatively accurate picture of the line and field point as described above. Add to this image a line of charge that is placed symmetrically such that the potential at the field point caused by the two lines combined is zero. Be sure to label your axes and whether the lines have positive or negative charge densities.arrow_forward
- (1) Find the electric potential at the point (a, L,0) caused by a uniformly charged (A) line of charge which starts at the origin and ends at the point (0, L,0). Be sure to specify (a) dą, (b) r, and (c) The final potential. (2) There are a group of five charges shown below. All charges have charge with mag- nitude e = 1.6 × 10-1ºC. The charges at the origin and at (-5nm, -5nm, 0) are negative. The charges at (0, –5nm, 0), (–5nm, 0,0), and (-2.,5nm, -2.5nm, 0) are positive. What is the total potential energy stored in this arrangement of charge?arrow_forwardA rod of length L lies along the x axis with its left end at the origin. It has a nonuniform charge density ? = ?x, where ? is a positive constant. (a) What are the units of ?? (Use SI unit abbreviations as necessary.) (b) Calculate the electric potential at A. (Use any variable or symbol stated above along with the following as necessary: ke.)arrow_forwardThree-point charges: Q = - 2 µC, Q, = 4 µC, and Q = – 2 µC 4 иС, апd Q, positioned in the A, B, and C corners of a square with length of 0.41m. Find: are (a) The electric intensity created by the Q, Q, and Qz in the fourth square corner D. 3. (b) The electric potential in point D (c) The work needed to move a point-charge Q = 1 °C from corner D to the center of the square.arrow_forward
- A) find the total electric potential difference due to these charges at point P located at (3,4) m coordinates. B)How much work required to bring a third point charge of 4micro coloumb from infinity to p?arrow_forwardNeeds Complete typed solution with 100 % accuracy.arrow_forwardConsider a solid insulating sphere which has a total chargeof +3Q but is distributed as ρ(r) = βr, and has a radius of a. This issurrounded by a conducting shell that has a charge of −3Q placed onits outer surface. The inner radius is b and the outer radius is c. a) Determine β in terms of Q and a.b) Find the potential at all points in spacearrow_forward
- :) a) For the charge configuration below draw in several representative electric field lines. Then draw in several equipotential lines, including the equipotential line along which the potential is OV if such a line exists! +2q 4cm -q b) Where along the line connecting the two charges could you place a small positive charge and have it remain stationary. Justify your answer.arrow_forwardIf the electric potential is zero at infinity, is the electric potential at the surface of a conductor with a total charge Q where Q < 0 positive or negative?arrow_forward(a) Find the electric potential, taking zero at infinity, at the upper right corner (the corner without a charge) of the rectangle in the figure. (Let x = 6.30 cm and y = 2.20 cm.)(b) Repeat if the 2.00-µC charge is replaced with a charge of −2.00 µC.arrow_forward
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