4. A certain amount of excess charge is transferred a conducting sphere with a diameter of 30 cm such thatthe electric potential at the center of the sphere is equal to 2.5 kV.a. How much charge was transferred to the conducting sphere?b. Determine the electric potential at a point outside of the sphere with a distance of 5 cm from its surface.c. Determine the charge density of the sphere. (Hint: surface or volume?)

Conducting sphere having, Diameter=30 cm i.e., radius= 15 cm Potential at the center of sphere= 2.5…

Answered: 4. A certain amount of excess charge is…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Similar questions

(a) Using Gauss’ law, derive an expression for the electric field intensity at any point outside a uniformly charged thin spherical shell of radius R and charge density a C/m2. Draw the field lines when the charge density of the sphere is (i) positive, (ii) negative. (b) A uniformly charged conducting sphere of 2.5 m in diameter has a surface charge density of 100 µC/m2. Calculate the (i) charge on the sphere (ii) total electric flux passing through the sphere
A uniform volume charge distribution Pv=3 (nC/m3) exists in a sphere that has a radius of 3 cm. What is the value of E at a distance R=1 cm? (Use Gauss’s Law)
A solid copper sphere of radius 20 cm carries a charge of 50 nC. Using Gauss' Law find the electric field (a) 16 cm, (b) 20 cm, and (c) 100 cm from the center of the sphere.
Using the method of integration, what is the electric field of a uniformly charged thin circular plate (with radius R and total charge Q) at x0 distance from its center? (Consider that the surface of the plate lies in the yz plane) Use the template in the attached pictures to solve the problem.
A solid conducting sphere carrying charge q has radius a. It is inside a concentric hollow conducting sphere with inner radius b and outer radius c. The hollow sphere has no net charge. (a) What is the charge on the inner surface of the hollow sphere? On the outer surface? (b) Sketch the electric field lines of the system. (c) Derive expressions for the electric field magnitude and for the electric potential interms of the distance r from the center for the regions r < a, a < r < b, b < r < c, and r > c. (Take the electric potential to vanish at r = ∞.)(d) Graph the magnitude of the electric field and the electric potential as a function of r from r = 0 to r = 2c.
Consider a solid sphere of radius 5cm having volume charge density of 20 C/m^3. Calculate the electric flux density at 10cm from the outer surface of sphere.
A very large conducting plate lying in the xy plane carries a charge per unit area of +5.0 nC/m2. A second such plate located above the first plate at z = z0 and oriented parallel to the xy plane carries a charge per unit area of -5.0 nC/m2. Find the electric field for (a) z < 0, (b) 0 < z < z0, and (c) z > z0.
A sphere of + 11Q charge density of radius a is located in the center of a conductive sphere shell with an inner radius b and an outer radius c, as shown in the figure. a) Find the electric field in each region. b) Find the charge potential in the conductive shell. c) What is the electrical potential outside the sphere?
A sphere of radius R has total charge Q. The volume charge density (C/m3) within the sphere is ρ(r)=C/r2, where C is a constant to be determined. 1. Use Gauss's law to find an expression for the magnitude of the electric field strength E inside the sphere, r≤R, and r>- (more or equal) in terms of Q and R.
In a dielectric material medium with relative dielectric constant & varepsilon; Er = 3, the load of 5 micro cloum is uniformly distributed over the sphere with radius R = 1m. Accordingly, which of the following is the expression of electric field in the sphere.
In a material medium with relative dielectric constant LaTeX: \ varepsilon_r = 3 & varepsilon; r = 3, LaTeX: 5 \ mu C5μC load LaTeX: R = 2mR = 2m radius is uniformly distributed over the sphere volume. Accordingly, which of the following is the expression of electric field outside the sphere.
A sphere with a radius of 1 relative dielectric constant 0 = 10 has a volumetric charge distribution varying only by "r" (independent of θ and Φ). (Here r is the distance measured from its origin in spherical coordinates.). The region outside the sphere that opens to infinity is the void. The electric field vector in the region (r <1) inside the sphere is as in the photo. Find the explicit expression of the electric field vector outside the sphere.

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