This calculator can find the center and radius of a circle given its equation in standard or general form. 1 . Input center and radius to find circel equation. 2 . You can input integers (10), decimals (10.2), fractions (10/3) and Square Roots - (use letter 'r' as a square root symbol).cylindrical shell of inner radius b, as shown in Figure 1.1. The length of both cylinders is l and we take it to be much larger compared to b-a, the separation of the cylinders, so that edge effects can be neglected. The capacitor is charged so that the inner cylinder has charge +Q while the outer shell has a charge –Q. (a) (b)

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A point charge +Q sits at the center of the hollow sphere. Determine the magnitude of the electric field in the region r<a. If the conductor has a total charge of +2Q and the charge on the inner surface is -Q, the charge on the outside surface would be: +2Q - (-Q) = +3Q.

7. A conducting sphere of radius 1 cm is surrounded by a conducting spherical shell of inner radius 3 cm and outer radius 4cm. If the electric field at r=2 cm is going outwards with magnitude 300 V/cm and at r=5 cm is also going outwards with magnitude 300 V/cm. What is the net charge on conducting spherical shell? Solution: Make a Gauss ... If we allow the outer sphere to become infinitely large, we obtain the capacitance of an isolated spherical conductor: C 4 a A sphere about the size of a marble, with a diameter of 1 cm, will have: C 0.556 pF Coating this sphere with a different dielectric layer, for which ε = ε1, extending from r = a to r = r1, Q Dr 4 r 2 Q Er (a r r1 ) 4 1r 2 Inner radius = Outer Radius - Thickness. So the volume of the spherical gap inside = (4/3)π*(Inner Radius)3 cubic units. In that case, the volume of material required will be Geometric Properties of a sphere which is of radius 42: Properties like Surface Area, Volume and other aspects of mensuration.7. A conducting sphere of radius 1 cm is surrounded by a conducting spherical shell of inner radius 3 cm and outer radius 4cm. If the electric field at r=2 cm is going outwards with magnitude 300 V/cm and at r=5 cm is also going outwards with magnitude 300 V/cm. What is the net charge on conducting spherical shell? Solution: Make a Gauss ...

Sep 06, 2016 · A small metallic sphere carrying charge +Q is located at the centre of a spherical cavity in a large uncharged metallic spherical shell. Write the charges on the inner and outer surfaces of the shell. Write the expression for the electric field at point {{P}_{1}} Solved : A nonconducting spherical shell of inner radius r1 and outer radius r2 has a uniform volume charge density rho (a) find the total charge on the shell. (b) find expressions for the electric field everywhere. A system consists of a disk of mass 2.0 kg and radius 50 cm upon which is mounted an annular cylinder of mass 1.0 kg with inner radius 20 cm and outer radius 30 cm (see below). The system rotates about an axis through the center of the disk and annular cylinder at 10 rev/s. 44 •• A cylindrical capacitor consists of a long wire that has a radius R1, a length L and a charge +Q. The wire is enclosed by a coaxial outer cylindrical shell that has a inner radius R2, length L, and charge –Q. (a) Find expressions for the electric field and energy density as a function of the distance R from the axis. If we give some dimensions to this cable, let’s say this radius is a, the inner radius of the outer cylindrical shell is b, and outer radius of the other cylindrical shell is c. Therefore, current is flowing through these cylinders in opposite directions, and we’d like to determine the magnetic field of such a cable in different regions.