Question

Notify Me Bookmark

Consider a uniformly distributed spherical charge density of −ρv with radius b. Find the electric field intensity for 0 < r < b and b < r. a. Use Gauss's law b. Use electric potential

Consider a uniformly distributed spherical charge density of −ρv with radius b. Find the electric field intensity for 0 < r < b and b < r. a. Use Gauss's law b. Use electric potential

Image text
Consider a uniformly distributed spherical charge density of − ρ v with radius b . Find the electric field intensity for 0 < r < b and b < r . a. Use Gauss's law b. Use electric potential

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

Consider the sphere with radius a shown below, carrying a uniform surface charge density ρS. a. Using Coulomb's law and integration, find the electric field a distance z from the center of the sphere. Treat the case za (outside). Express your answers in terms of the total charge Q on the sphere. b. Find the potential inside and outside of the spherical shell, directly by integration (similar to part a), and by using the electric field obtained in the previous part. Hint: Use the law of cosines to find the distance from the surface to pint P in terms of a, z, and θ(a2 + z2 − 2azcos⁡θ). Be sure to take the positive square root, that is, a2 + z2 − 2az = |z−a|

Solution
0 0

A solid cylinder, with radius a, contains a uniform charge density ρ. The cylinder is coaxially aligned (see figure 2) inside a cylindrical shell, with radius b, carrying a charge per unit area σ. If σ = −a2ρ/2b, and ρ is positive, use Gauss's law to find the electric field as a function Figure 2. Problem 2. of distance from the central axis in the following regions. (a) r < a (b) a < r < b (c) r > b.

Solution
0 0

A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d ( Figure 1). The inner shell has total charge +2q, and the outer shell has charge −2q. Figure 1 of 1 Part A Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a. Express your answer in terms of the given quantities, and appropriate constants. Submit Request Answer Part B Calculate the magnitude of the electric field for a < r < b. Express your answer in terms of the given quantities, and appropriate constants. Part C Calculate the magnitude of the electric field for b < r < c. Express your answer in terms of the given quantities, and appropriate constants. E3 = Part D What is the direction of the electric field for b < r < c ? toward the center outward the center Submit Request Answer Part E Calculate the magnitude of the electric field for c < r < d. Express your answer in terms of the given quantities, and appropriate constants. E4 = Part F Calculate the magnitude of the electric field for r > d. Express your answer in terms of the given quantities, and appropriate constants. E5 = Part G What's the total charge on the inner surface of the small shell? Express your answer in terms of the given quantities, and appropriate constants. qi = Submit Request Answer Part H What's the total charge on the outer surface of the small shell? Express your answer in terms of the given quantities, and appropriate constants. qo = Part I What's the total charge on the inner surface of the large shell? Express your answer in terms of the given quantities, and appropriate constants. qi = Request Answer Part J What's the total charge on the outer surface of the large shell? Express your answer in terms of the given quantities, and appropriate constants.A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d ( Figure 1). The inner shell has total charge +2q, and the outer shell has charge −2q. Figure 1 of 1 Part A Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a. Express your answer in terms of the given quantities, and appropriate constants. Submit Request Answer Part B Calculate the magnitude of the electric field for a < r < b. Express your answer in terms of the given quantities, and appropriate constants. Part C Calculate the magnitude of the electric field for b < r < c. Express your answer in terms of the given quantities, and appropriate constants. E3 = Part D What is the direction of the electric field for b < r < c ? toward the center outward the center Submit Request Answer Part E Calculate the magnitude of the electric field for c < r < d. Express your answer in terms of the given quantities, and appropriate constants. E4 = Part F Calculate the magnitude of the electric field for r > d. Express your answer in terms of the given quantities, and appropriate constants. E5 = Part G What's the total charge on the inner surface of the small shell? Express your answer in terms of the given quantities, and appropriate constants. qi = Submit Request Answer Part H What's the total charge on the outer surface of the small shell? Express your answer in terms of the given quantities, and appropriate constants. qo = Part I What's the total charge on the inner surface of the large shell? Express your answer in terms of the given quantities, and appropriate constants. qi = Request Answer Part J What's the total charge on the outer surface of the large shell? Express your answer in terms of the given quantities, and appropriate constants.A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d ( Figure 1). The inner shell has total charge +2q, and the outer shell has charge −2q. Figure 1 of 1 Part A Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a. Express your answer in terms of the given quantities, and appropriate constants. Submit Request Answer Part B Calculate the magnitude of the electric field for a < r < b. Express your answer in terms of the given quantities, and appropriate constants. Part C Calculate the magnitude of the electric field for b < r < c. Express your answer in terms of the given quantities, and appropriate constants. E3 = Part D What is the direction of the electric field for b < r < c ? toward the center outward the center Submit Request Answer Part E Calculate the magnitude of the electric field for c < r < d. Express your answer in terms of the given quantities, and appropriate constants. E4 = Part F Calculate the magnitude of the electric field for r > d. Express your answer in terms of the given quantities, and appropriate constants. E5 = Part G What's the total charge on the inner surface of the small shell? Express your answer in terms of the given quantities, and appropriate constants. qi = Submit Request Answer Part H What's the total charge on the outer surface of the small shell? Express your answer in terms of the given quantities, and appropriate constants. qo = Part I What's the total charge on the inner surface of the large shell? Express your answer in terms of the given quantities, and appropriate constants. qi = Request Answer Part J What's the total charge on the outer surface of the large shell? Express your answer in terms of the given quantities, and appropriate constants.A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d ( Figure 1). The inner shell has total charge +2q, and the outer shell has charge −2q. Figure 1 of 1 Part A Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a. Express your answer in terms of the given quantities, and appropriate constants. Submit Request Answer Part B Calculate the magnitude of the electric field for a < r < b. Express your answer in terms of the given quantities, and appropriate constants. Part C Calculate the magnitude of the electric field for b < r < c. Express your answer in terms of the given quantities, and appropriate constants. E3 = Part D What is the direction of the electric field for b < r < c ? toward the center outward the center Submit Request Answer Part E Calculate the magnitude of the electric field for c < r < d. Express your answer in terms of the given quantities, and appropriate constants. E4 = Part F Calculate the magnitude of the electric field for r > d. Express your answer in terms of the given quantities, and appropriate constants. E5 = Part G What's the total charge on the inner surface of the small shell? Express your answer in terms of the given quantities, and appropriate constants. qi = Submit Request Answer Part H What's the total charge on the outer surface of the small shell? Express your answer in terms of the given quantities, and appropriate constants. qo = Part I What's the total charge on the inner surface of the large shell? Express your answer in terms of the given quantities, and appropriate constants. qi = Request Answer Part J What's the total charge on the outer surface of the large shell? Express your answer in terms of the given quantities, and appropriate constants.A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d ( Figure 1). The inner shell has total charge +2q, and the outer shell has charge −2q. Figure 1 of 1 Part A Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a. Express your answer in terms of the given quantities, and appropriate constants. Submit Request Answer Part B Calculate the magnitude of the electric field for a < r < b. Express your answer in terms of the given quantities, and appropriate constants. Part C Calculate the magnitude of the electric field for b < r < c. Express your answer in terms of the given quantities, and appropriate constants. E3 = Part D What is the direction of the electric field for b < r < c ? toward the center outward the center Submit Request Answer Part E Calculate the magnitude of the electric field for c < r < d. Express your answer in terms of the given quantities, and appropriate constants. E4 = Part F Calculate the magnitude of the electric field for r > d. Express your answer in terms of the given quantities, and appropriate constants. E5 = Part G What's the total charge on the inner surface of the small shell? Express your answer in terms of the given quantities, and appropriate constants. qi = Submit Request Answer Part H What's the total charge on the outer surface of the small shell? Express your answer in terms of the given quantities, and appropriate constants. qo = Part I What's the total charge on the inner surface of the large shell? Express your answer in terms of the given quantities, and appropriate constants. qi = Request Answer Part J What's the total charge on the outer surface of the large shell? Express your answer in terms of the given quantities, and appropriate constants.A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d ( Figure 1). The inner shell has total charge +2q, and the outer shell has charge −2q. Figure 1 of 1 Part A Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a. Express your answer in terms of the given quantities, and appropriate constants. Submit Request Answer Part B Calculate the magnitude of the electric field for a < r < b. Express your answer in terms of the given quantities, and appropriate constants. Part C Calculate the magnitude of the electric field for b < r < c. Express your answer in terms of the given quantities, and appropriate constants. E3 = Part D What is the direction of the electric field for b < r < c ? toward the center outward the center Submit Request Answer Part E Calculate the magnitude of the electric field for c < r < d. Express your answer in terms of the given quantities, and appropriate constants. E4 = Part F Calculate the magnitude of the electric field for r > d. Express your answer in terms of the given quantities, and appropriate constants. E5 = Part G What's the total charge on the inner surface of the small shell? Express your answer in terms of the given quantities, and appropriate constants. qi = Submit Request Answer Part H What's the total charge on the outer surface of the small shell? Express your answer in terms of the given quantities, and appropriate constants. qo = Part I What's the total charge on the inner surface of the large shell? Express your answer in terms of the given quantities, and appropriate constants. qi = Request Answer Part J What's the total charge on the outer surface of the large shell? Express your answer in terms of the given quantities, and appropriate constants.A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d ( Figure 1). The inner shell has total charge +2q, and the outer shell has charge −2q. Figure 1 of 1 Part A Calculate the magnitude of the electric field in terms of q and the distance r from the common center of the two shells for r < a. Express your answer in terms of the given quantities, and appropriate constants. Submit Request Answer Part B Calculate the magnitude of the electric field for a < r < b. Express your answer in terms of the given quantities, and appropriate constants. Part C Calculate the magnitude of the electric field for b < r < c. Express your answer in terms of the given quantities, and appropriate constants. E3 = Part D What is the direction of the electric field for b < r < c ? toward the center outward the center Submit Request Answer Part E Calculate the magnitude of the electric field for c < r < d. Express your answer in terms of the given quantities, and appropriate constants. E4 = Part F Calculate the magnitude of the electric field for r > d. Express your answer in terms of the given quantities, and appropriate constants. E5 = Part G What's the total charge on the inner surface of the small shell? Express your answer in terms of the given quantities, and appropriate constants. qi = Submit Request Answer Part H What's the total charge on the outer surface of the small shell? Express your answer in terms of the given quantities, and appropriate constants. qo = Part I What's the total charge on the inner surface of the large shell? Express your answer in terms of the given quantities, and appropriate constants. qi = Request Answer Part J What's the total charge on the outer surface of the large shell? Express your answer in terms of the given quantities, and appropriate constants.
Solution
0 0