Question

The area of each plate of a parallel plate capacitor is 100 cm^(2) and the distance between the plates is 1 mm. It is filled with mica of dielectric 6. The radius of the equivalent capacity of the sphere will be

Answer 1

Radius of sphere = 4.77 meter.

Given:

The area of each plate of a parallel plate capacitor is 100 cm².

The distance between the plates is 1 mm.

Filled with mica of dielectric 6.

To find:

The radius of the equivalent capacity of the sphere will be.

Formula used:

Capacitance = $\mathcal{E}_o$ × $\frac{A}{d}$ × K

Where    K= dielectric = 6

Explanation:

We know that Capacitance of sphere = 4$\pi \mathcal{E}_o$R

From given data,

Capacitance = $\mathcal{E}_o$ × $\frac{A}{d}$ × K = 4$\pi \mathcal{E}_o$R

Given that          Area =   100 cm²    

Distance between the plates = d = 1 mm    

                $\frac{A}{d}$ × K = 4$\pi \mathcal{E}_o$R

                  R = $\frac{6 \times A}{4\pi d}$

                  R =  $\frac{100 \times 10^-^4\times 6}{1 \times 10^-^3 \pi \times 4}$

Radius of sphere = 4.77 meter.

To learn more...

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Answer 2

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Radius of sphere = 4.77 meter.