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 uniformly charged ring of radius 10.0 cm has a total charge of 89.0 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(b) 5.00 cm What is the general expression for the electric field along the axis of a uniformly charged ring? î MN/C(c) 30.0 cm Carefully check the exponent in the denominator of your expression for the electric field. î MN/C(d) 100 cm î MN/Carrow_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_forward
- A 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_forwardA 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_forward
- A 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_forwardA 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_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 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_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_forwardA 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_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning