Question

The stratosphere acts as a conducting layer for the earth . if the stratosphere extends beyond 50km from the surface of earth . then calculate the capacitance of the spherical formed between stratosphere and earth's surfy . Take radius of earth as 64000km ​

Answer 1

Answer:

0.092 F

Explanation:

Given,

Rₐ = 6400 km = 6.4 * 10⁶ km.

The stratosphere extends beyond 50 km from the surface of earth.

Rₙ = 6400 + 50

   = 6450 km

  = 6.45 * 10⁶ m

Now,

C = [(4π∈₀) * Rₐ * Rₙ]/Rₙ - Rₐ

  = (1/9 * 10⁵) * (6.4 * 10⁶ * 6.45 * 10⁶)/(6.45 - 6.4) * 10⁶

  = 0.092 F

Hope it helps!

Answer 2

The capacitance of the spherical curvature formed between stratosphere and earth's surfy is found to be 0.0917 F.

Stratosphere

Definition:

The stratosphere is an atmosphere layer that surrounds the Earth. Ozone, an uncommon type of oxygen molecule that is quite prevalent in the stratosphere, heats this layer by absorbing energy from incoming UV radiation from the Sun.

Formula of capacitance for spherical conductor:

C = $\frac{4\pi E_{0} r_{1} r_{2} }{r_{2}-r_{1} }$

Where,

Electrical permittivity is given by $\frac{1}{4\pi E_{0} }$ = 9×$10^{9}$ .

$r_{1}$ is the radius of inner sphere.

$r_{2}$ is the radius of the outer sphere.

Explanation:

The inner radius which is the radius of the earth is given as 6400 km

= 6400×1000 m.

The outer radius the radius of sphere including the stratosphere which is 6450×1000 m.

The difference in the radius is found to be 50×1000 m.

Substituting all the values in the given capacitance formula.

$C = \frac{6400X1000X6450X1000}{9X10^{9} X50X1000}$

Further solving ,

C = 0.0917 F

Therefore, the capacitance is found to be 0.0917 F.

To know more about concept of capacitance, here

https://brainly.in/question/6497144?msp_poc_exp=1

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