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In Fig, 23-54, a solid sphere of radius a = 2.00 cm is concentric with a spherical
Figure 23-54 Problem 49.
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- A solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge −4.00 μC. Find the electric field at (a) r = 1.00 cm, (b) r = 3.00 cm, (c) r = 4.50 cm, and (d) r = 7.00 cm from the center of this charge configuration.arrow_forwardA ring shaped conductor with a radius 3.00 cm has a uniform charge density of -120.0 nC/m and it lies on a horizontal table top. Find the magnitude and direction of the electric field it produces at a point 4.50 cm directly above its center. (p = 8.85 x 10-12 c²/Nm2, k = 9.00 x 109 Nm²/C²) 3.07 x 105 N/C, vertically downward 3.07 x 105 N/C, vertically upward 5.33 x 105 N/C, vertically downward 1.00 x 105 N/C, vertically upward 5.79 x 104 N/C, vertically downward 5.79 x 104 N/C, vertically upward 5.33 x 105 N/C, vertically upward 1.00 x 105 N/C, vertically downwardarrow_forward34 In Fig. 23-45, a small circular hole of radius R = 1.80 cm has been cut in the middle of an infinite, flat, nonconducting surface that has uniform charge density o= 4.50 pC/m?. A z axis, with its origin at the hole's center, is perpendicular to the surface. In unit- vector notation, what is the electric field at point Pat z = 2.56 cm? Hint: See Eq. 22-26 and use superposition.) %3D Rarrow_forward
- A solid conducting sphere, which has a charge Q, =28Q and radius ra = 2.2R is placed inside a very thin spherical shell of radius rp = 6.7R and charge Q2 =14Q as shown in the figure below. Q2 ra Find the magnitude of the electric field at r=3.3. Express your answer using one decimal point in units of k where k = 4περarrow_forwardThe figure shows two concentric insulating thin spherical shells: Sphere 1 of radius R₁ = R cm and a total charge Q₁ = +Q nC. Sphere 2 of radius R₂ = 2R cm and a total charge Q2 = -4Q nC. Take R-25 cm and Q-90 nC E = +Q R E= B 1. Find the magnitude of the net electric field at a distance r= 91 cm from the center of the two spheres. [N/C] 40 2. The net electric filed vector at a distance r= 91 cm from the center of the two spheres is pointing: Ooutward E = 2R 3. Find the magnitude of the net electric field at a distance r= 41 cm from the center of the two spheres. [N/C] Oinward 4. Find the magnitude of the net electric field at a distance r= 21 cm from the Ct...er of the two spheres. → [N/C] 5. What is the direction of the etric field E₂ created by Ring 2 at point P Direction: 6. Write the expression of the electric filed E₂ created by Ring 2 at point P. Ē₂ : > [N/C] 7. If vector E₁ = [N/C] and vector E₂ = [N/C]. Find the net electric filed Enet at point P. Enet = [N/C] > [N/C] 8. If a…arrow_forwardA conducting sphere of radius 0.01 m has a charge of 1 nC deposited in it. The magnitude of the electric field in N/C just inside the surface of the sphere is:arrow_forward
- 15 In Fig. 22-42, the three particles are fixed in place and have charges 91 = 42 = +e and q3 = +2e. Distance a = 6.00 µm. What are the (a) magnitude and (b) direc- tion of the net electric field at point P due to the particles? %3! %3Darrow_forwardFigure (a) shows a nonconducting rod with a uniformly distributed charge +Q. The rod forms a 10/25 of circle with radius R and produces an electric field of magnitude Earc at its center of curvature P. If the arc is collapsed to a point at distance R from P (see Figure (b)), by what factor is the magnitude of the electric field at P multiplied? (a) +Q Number R i P MI Units +Q |—R— P This ansarrow_forwardThe figure shows two concentric insulating thin spherical shells: Sphere 1 of radius R₁ = R cm and a total charge Q₁ = +Q nC. Sphere 2 of radius R₂ = 2R cm and a total charge Q2 = -40 nC. Take R-25 cm and Q-90 nC E = +Q R E= B 1. Find the magnitude of the net electric field at a distance r= 91 cm from the center of the two spheres. [N/C] E = 2. The net electric filed vector at a distance r= 91 cm from the center of the two spheres is pointing: Ooutward 40 3. Find the magnitude of the net electric field at a distance r= 41 cm from the center of the two spheres. [N/C] 2R Oinward 4. Find the magnitude of the net electric field at a distance r= 21 cm from the Ct...er of the two spheres. + [N/C] 5. What is the direction of the electric field E₂ created by Ring 2 at point P Direction: 6. Write the expression of the electric filed E₂ created by Ring 2 at point P. Ē₂ = > [N/C] 7. If vector E₁ = [N/C] and vector E₂ = [N/C]. Find the net electric filed Enet at point P. Enet = [N/C] > [N/C] 8. If…arrow_forward
- An isolated very long metallic rod with a uniform circular cross-section of radius 0.55 mm has a constant charge per unit length of 2.25 × 10⁻⁸ C/m. Find the electric field magnitudes at distances (a) 0.25 mm and (b) 0.75 mm, from the longitudinal axis of the rod.arrow_forward(a) Two conducting spherical shells are concentric and isolated. The first spherical shell has radius of R1 = 1.0 m and charge q1 = +4.0 µC while the second spherical shell has radius of R2= 2.0 m and charge q2 = +2.0 µC. Calculate the magnitude of electric field E at radial distance of i. r = 5.0 m ii. r = 1.5 m iii. r = 0.5 m With V= 0 at infinity, calculate the electric potential, V at iv. r = 5.0 m V. r = 1.5 m vi. r = 0.5 m Sketch graph of E vs r and V vs r.arrow_forwardA cylinder has a length L and radius R. It has a non-uniform charge distribution p such that p = por? for rR Find the electric field both inside and outside the cylinder.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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