Concept explainers
(a)
The magnitude of the electric field along the ring’s axis at a distance of
(a)
Answer to Problem 67PQ
The magnitude of the electric field along the ring’s axis at a distance of
Explanation of Solution
Write the equation for the electric field along the axis of a charged ring.
Here,
Conclusion:
Substitute
Thus, the magnitude of the electric field along the ring’s axis at a distance of
(b)
The magnitude of the electric field along the ring’s axis at a distance of
(b)
Answer to Problem 67PQ
The magnitude of the electric field along the ring’s axis at a distance of
Explanation of Solution
Write the equation for the electric field along the axis of a charged ring.
Conclusion:
Substitute
Thus, the magnitude of the electric field along the ring’s axis at a distance of
(c)
The magnitude of the electric field along the ring’s axis at a distance of
(c)
Answer to Problem 67PQ
The magnitude of the electric field along the ring’s axis at a distance of
Explanation of Solution
Write the equation for the electric field along the axis of a charged ring.
Conclusion:
Substitute
Thus, the magnitude of the electric field along the ring’s axis at a distance of
(d)
The magnitude of the electric field along the ring’s axis at a distance of
(d)
Answer to Problem 67PQ
The magnitude of the electric field along the ring’s axis at a distance of
Explanation of Solution
Write the equation for the electric field along the axis of a charged ring.
Conclusion:
Substitute
Thus, the magnitude of the electric field along the ring’s axis at a distance of
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Chapter 24 Solutions
Physics for Scientists and Engineers: Foundations and Connections
- A total charge Q is distributed uniformly on a metal ring of radius R. a. What is the magnitude of the electric field in the center of the ring at point O (Fig. P24.61)? b. What is the magnitude of the electric field at the point A lying on the axis of the ring a distance R from the center O (same length as the radius of the ring)? FIGURE P24.61arrow_forwardA rod (length L= 8 m) is uniformly charged and has a total charge of 20 nC. What is the magnitude of the electric field at a point which lies along the axis of the rod and is d%3 9 m from the center of the rod? d. + + + + + + P.arrow_forwardA uniformly charged ring of radius 10.0 cm has a total charge of 76.0 μC. Find the electric field on the axis of the ring at the following distances from the center of the ring. (Choose the x-axis to point along the axis of the ring.) a. 1.00 cm î MN/C 5.00 cm î MN/C(c) 30.0 cm î MN/C(d) 100 cm î MN/Carrow_forward
- A hollow cylindrical shell has an inner radius of 2.0 cm, an outer cylinder of radius 5.0 cm, and a length of 5.0 m. The shell is charged with a total of 10.0 nC distributed uniformly throughout its volume. Use this context for the following two questions. Determine the magnitude of the electric field of the cylindrical shell at a radial distance of 5.4 cm, measured from the center of the shell perpendicular from its axis. Give your answer in units of N/C. Determine the magnitude of the electric field of the cylindrical shell at a radial distance of 4.7 cm, measured from the center of the shell perpendicular from its axis. Give your answer in units of N/C.arrow_forwardA long silver rod of radius 3.0 cm has a charge of 5 microcoulombs per meter on its surface. Find the magnitude of the electric field at a point 5.0 cm from the center of the rod (an outside point). Round to 2 significant figures. what is the electric field at a point 2 cm from the central axis of the rodarrow_forwardA uniformly charged rod (length = 2.0 m, charge per unit length = 35 nC/m) is bent to form a semicircle. What is the magnitude of the electric field at the center of the circle? Select one: O A. 989.60 N/C B. 219.91 N/C OC. 659.73 N/C OD. 329.87 N/Carrow_forward
- A uniformly charged ring of radius 10.0 cm has a total charge of 81.7 nC. Find the magnitude of the electric field (in N/C) on the axis of the ring at 100 cm away from the center of the ring.arrow_forwardA particle has a charge of -3.00 nC.a. Find the magnitude and direction of the electric field due to this particle at a point 0.250 m above it.b. At what distance from this particle does its electric field have a magnitude of 2.0 N/C?arrow_forwardWhat is the magnitude of the electric field 4.52 cm to the left of 8.15 mC negative charge? 3.45x1010 N/C a. b. 3.59x1010 N/C с. 2.01x1010 N/C d. 2.41x1010 N/Carrow_forward
- A cylindrical metal rod of radius 7.7 cm and length 291 cm is uniformly charged. The mag- nitude of the electric field at a point located at distance 22 cm from its axis is 52400 N/C. What is the net charge on the metal rod? The Coulomb constant is 8.99 x 109 Nm²/C². 1. 1.36737 x 10-6 2. 2.62325 x 10 -6 3. 2.17308 x 10-6 4. 1.86577 x 10-6 5. 1.79526 x 10-6 6. 1.89852 x 10-6 7. 2.80164 x 10-6 8. 2.13835 x 10-6 9. 2.31838 x 107 10. 1.3007 x 10-6 Answer in units of C.arrow_forwardThe charge per unit length on a long straight thin wire is 41.8 µC/m. The electric field (in MN/C) at a distance of 8.3 cm from the axis of the wire is: (use k=9.0x10° N. m2/C?) Select one: O A. 9.07 O B. 6.55 O C. 11.08 O D. 4.53 O E. 7.55arrow_forwardTwo uniform spherical charge distributions (see figure below) each have a total charge of 50.9 mC and radius R = 15.2 cm. Their center-to-center distance is 37.50 cm. Find the magnitude of the electric field at point B, 7.50 cm from the center of one sphere and 30.0 cm from the center of the other sphere. N/C R = 15.2 cm R = 15.2 cm -37.50 cm 30.0 cm- 7.5 cmarrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning