9. In the lecture, we have shown that the capacitance of a spherical capacitor is given...
Show the steps. Thank you 9. An isolated spherical spherical capacitor has charge +Q on its inner conductor (radius ra) and charge-Q on is outer conductor (radius rb). Half of the volume between the conductors is then filled with a liquid dielectric of constant K. Given [ra, Tb, Q, K] Determine: a. the capacitance of the half filled capacitor. b. The Electric Field in the volume between the two conductors as a function of distance r from the center of...
A spherical capacitor contains a solid spherical conductor of radius 1 mm, surrounded by a dielectric material with &r 2.0 out to a radius of 2 mm, then an outer thin spherical conducting shell. Determine the capacitance of the spherical capacitor. (Hint: Suppose you place a charge Q on the inner conductor and a charge -0 on the outer conductor Determine the electric field in the dielectric region between the conductors, then integrate SE .dr to determine the vollage difference...
need help for #1 and #3 thank you EE 360 Test 2 Write every step for each question 1. (a) Derive the expression for capacitance between two concentric spherical surfaces of radii Ri and Ro(RI R:) if the space between the surfaces is filled with a homogenous and isotropie material having permittivity o, (b) Derive expression for the resistance of medium between two concentric spherical surfaces in part (a) has conductivity σ as its' conductivity. ols 2. A current I...
A spherical conductor is surrounded by a thick spherical conducting shell as shown in Figure 1; the bounding surfaces are concentric spheres of radii a, b, and c. Suppose that the inner conductor has charge Q, and the outer conductor has charge Q2. a) What are the electric fields in the (i) r>c, (ii) b<r<c, (iii) a<r<b, and (iv) r<a regions? [10 marks] b) Find the electric potentials (i) on the outer shell and (ii) on the inner conductor. [10...
Number 10 Bonus Problems ; part a, b, c. Thank you 10. Bonus problems: (a) In the lecture, we have derived the capacitance C of a coaxial cylindrical capacitor of length L with the radii Ri and Ro of the inner and outer cylinders, respectively. Simply write down the formula. Using R,-R and Ro-R+ δ, re-express the formula, and make a plot for C vs δ/R. (10 points) (b) A parallel-plate capacitor is made of two conducting plates of size...
A concentric spherical capacitor is charged to -Q on the outer sphere and +Q on the inner sphere. The inner sphere is solid, with radius=a, while the outer sphere is hollow, with radius=b. Between the two spheres is a vaccum. a) Find the potential difference between r=a and r=b and thus find the capacitance of this system directly. b) Assuming the outer shell is grounded (ie, at zero potential) use to find the capacirtance. c) Using the energy density in...
2. (4 points) A spherical capacitor has outer radius R2 and inner radius R1 and is filled with a dielectric material in which ε--Ceo/r. A positive charge Q is placed in the inner radius and a negative charge-Q is placed on the outer radius. Remember that ε in this problem depends on the radial position r. (a) Calculate D, E and P within the capacitor, as a function of r for R R2 b) Calculate the potential V, from R1...
At the origin I have a spherical conductor with radius r that has a net charge of -q. I also have a spherical conducting shell with inner radius RA and outer radius RB (RA > r). The conducting shell has a total net charge Q. What best describes the charge present on the outer surface of the shell. (a) 0 (b) q (c) Q (d) Q-q (e) q-Q I am having trouble visualizing it can you draw it out and...
2 part question? A conducting spherical shell with a cavity, has inner radius Ri and outer radius R2. The shell has a net negative charge -8.2 nC. A particle with charge +27.6 nC is placed at the center of the cavity. (a) The net charge enclosed at a point in the cavity, a distance r from the center, is: Select one: a. -8.2 nc b. 27.6 nc c. 19.40 nc d. -19.40 nc e. Onc A conducting spherical shell with...
3. A solid spherical insulator with radius Ry is surrounded by a conducting spherical shell with inner radius R2 and outer radius R3 and with the same center point as the central sphere. The central sphere has charge density p yr3, where r is the distance from the common center of the sphere and shell. The conducting shell has charge Q. Find the magnitude of the electric field as a function of r in the following regions: R2 (a)r s...