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The total electric field at point P, a distance x from the center of a ring of radius a, is given by the following equation. Substituting the given values for the charge and radius, we have the following. E = каха (x² + a²)³/2 (8.99 × 109 N m²/C²) 86.5 7.77 ⚫ x² + 0.1 x² + 0.1 · 86.5 x 10 0-6 c) x m) ²) 3/2 0.1 m 7.78 × 105 N m²/C) x 0.1 m) ²) 3/2 Step 4 Using a calculator, we substitute the distances for x and evaluate the electric field. × 106 ↑ N/C. (a) At x = 0.0100 m, = 7.68 (b) At x = 0.0500 m, = 2.78 × 107 ↑ N/C. (c) At x = 0.300 m, E = 7.37 × 106 ↑ N/C. (d) At x = 1.00 m, = 5.13 × A uniformly charged ring of radius 10.0 cm has a total charge of 86.5 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 (b) 5.00 cm (c) 30.0 cm (d) 100 cm

The total electric field at point P, a distance x from the center of a ring of radius a, is given by the following equation. Substituting the given values for the charge and radius, we have the following. E = каха (x² + a²)³/2 (8.99 × 109 N m²/C²) 86.5 7.77 ⚫ x² + 0.1 x² + 0.1 · 86.5 x 10 0-6 c) x m) ²) 3/2 0.1 m 7.78 × 105 N m²/C) x 0.1 m) ²) 3/2 Step 4 Using a calculator, we substitute the distances for x and evaluate the electric field. × 106 ↑ N/C. (a) At x = 0.0100 m, = 7.68 (b) At x = 0.0500 m, = 2.78 × 107 ↑ N/C. (c) At x = 0.300 m, E = 7.37 × 106 ↑ N/C. (d) At x = 1.00 m, = 5.13 × A uniformly charged ring of radius 10.0 cm has a total charge of 86.5 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 (b) 5.00 cm (c) 30.0 cm (d) 100 cm

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The total electric field at point P, a distance x from the center of a ring of radius a, is given by the following equation. Substituting the given values for the charge and radius, we have the following. E = каха (x² + a²)³/2 (8.99 × 109 N m²/C²) 86.5 7.77 ⚫ x² + 0.1 x² + 0.1 · 86.5 x 10 0-6 c) x m) ²) 3/2 0.1 m 7.78 × 105 N m²/C) x 0.1 m) ²) 3/2 Step 4 Using a calculator, we substitute the distances for x and evaluate the electric field. × 106 ↑ N/C. (a) At x = 0.0100 m, = 7.68 (b) At x = 0.0500 m, = 2.78 × 107 ↑ N/C. (c) At x = 0.300 m, E = 7.37 × 106 ↑ N/C. (d) At x = 1.00 m, = 5.13 ×
Transcribed Image Text:The total electric field at point P, a distance x from the center of a ring of radius a, is given by the following equation. Substituting the given values for the charge and radius, we have the following. E = каха (x² + a²)³/2 (8.99 × 109 N m²/C²) 86.5 7.77 ⚫ x² + 0.1 x² + 0.1 · 86.5 x 10 0-6 c) x m) ²) 3/2 0.1 m 7.78 × 105 N m²/C) x 0.1 m) ²) 3/2 Step 4 Using a calculator, we substitute the distances for x and evaluate the electric field. × 106 ↑ N/C. (a) At x = 0.0100 m, = 7.68 (b) At x = 0.0500 m, = 2.78 × 107 ↑ N/C. (c) At x = 0.300 m, E = 7.37 × 106 ↑ N/C. (d) At x = 1.00 m, = 5.13 ×
A uniformly charged ring of radius 10.0 cm has a total charge of 86.5 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 (b) 5.00 cm (c) 30.0 cm (d) 100 cm
Transcribed Image Text:A uniformly charged ring of radius 10.0 cm has a total charge of 86.5 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 (b) 5.00 cm (c) 30.0 cm (d) 100 cm
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