A capacitor is made from two hollow, coaxial, iron cylinders, one inside the other. The inner cylinder is negatively charged and the outer is positively charged; the magnitude of the charge on each is 11.5 pC. The inner cylinder has a radius of 0.550 mm, the outer one has a radius of 4.00 mm, and the length of each cylinder is 15.0 cm.

(1) What is the capacitance? Use 8.854×10−12 F/m for the permittivity of free space.
(2) What applied potential difference is necessary to produce these charges on the cylinders?

Explanation:

a.

Given the permittivity constant to be ,The capacitance of a of length, is given by the equation:

where is the radius of the outer cylinder and the radius of the inner cylinder.

The values are given as:

Substitute in our capacitance equation:

Hence the capacitance is

b. The charge on the capacitance is related to the potential difference across it. The potential difference is expressed using the equation:

,

From a above, we already have our capacitance value,

We substitute in the pd equation:

Hence, the applied potential difference is 2.7344V

the small 0.38-kg slider is known to move from position a to position b along the vertical-plane slot. determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. the distance r = 0.70 m, the spring modulus k = 154 n/m, and the unstretched length of the spring is 0.53 m

explanation:

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