Let Q be the charge on the inner shell. Then
in the space between them, and
or,
or,
now
so, the resistance between the shell is given by
Now if b is very large the
Essentially all of the resistance is in the region right around the inner sphere. Successive shells contribute less and less because the cross-section area gets large and large. For the two submerged spheres
2 SPHERICAL CONDUCTORS Two concentric spherical conductors or radii a, b (with b> a) have an...
4) Find the resistance between two concentric spherical surfaces of radii R1 and R2 (R1<R2) if the space between the surfaces is filled with a homogeneous and isotropic material having conductivity .
Two charged concentric spherical shells have radii 11.8 cm and 14.0 cm. The charge on the inner shell is 4.81 × 10- 8 C and that on the outer shell is 2.46 × 10- 8 C. Find the electric field (a) at r = 12.7 cm and (b) at r = 22.7 cm.
Two charged concentric spherical shells have radii 10.4 cm and 16.8 cm. The charge on the inner shell is 5.63 × 10- 8 C and that on the outer shell is 1.99 × 10- 8 C. Find the electric field (a) at r = 13.9 cm and (b) at r = 38.2 cm.
Solve a, b and c Physics Two thin concentric spherical shells of radii ri and rz (ri< rz) contain uniform surface charge densities of oi and o, respectively. Determine the electric field for (a) r ri. (b) ri <r (c) r r2.
Two concentric charged spherical conducting shells of radii 3 and 4 cm carry equal and opposite charges of magnitude 8 * 10^-6 C as shown in Figure 2. a. find the electric field at r = 4cm b. Find the electric potential at r=2 cm. 2. Two concentric charged spherical conducting she l1s of radii 3 and 5 cm carry equal and oppositecharges of taagnitude 8 x 10-6 c as shovn in Figure 2. a) Find the electric field at...
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...
The space between two concentric conducting spherical shells of radii b = 2.20 cm and a = 1.20 cm is filled with a substance of dielectric constant κ = 24.2. A potential difference V = 50.0 V is applied across the inner and outer shells. Determine (a) the capacitance of the device, (b) the free charge q on the inner shell, and (c) the charge q induced along the surface of the inner shell.
The space between two concentric conducting spherical shells of radii b = 1.70 cm and a = 1.20 cm is filled with a substance of dielectric constant κ = 20.5. A potential difference V = 62.0 V is applied across the inner and outer shells. (a) Determine the capacitance of the device. (b) Determine the free charge q on the inner shell. (c) Determine the charge q' induced along the surface of the inner shell.
Problem 4 (3 marks): Conducting spherical shells with radii a=10cm, b=20cm are maintained at potential difference of 10V such that V(r=b)-0; V(r=a)=10V. The material between shells is dielectric with e-2.5 a. Find Vand D in the region between shells? b. Determine the total charge induced on the shells and capacitance of V= V(r) the shells? mn Problem 4 (3 marks): Conducting spherical shells with radii a=10cm, b=20cm are maintained at potential difference of 10V such that V(r=b)-0; V(r=a)=10V. The material...
Two isolated, concentric, conducting spherical shells have radii R1 = 0.520 m and R2 = 1.10 m, uniform charges q1 = +2.80 μC and q2 = +1.60 μC, and negligible thicknesses. What is the magnitude of the electric field E at radial distance With V = 0 at infinity, what is V at , (e) r = 1.10 m, (f) r = 0.790 m, (g) r = 0.520 m, (h) r = 0.150 m, and (i) r = 0?