Question

The capacity of a spherical conductor is 1 micro farad then its diameter

Answer 1

capacitance of a spherical capacitor C= 4 pi ∈ r

            here ,

              C= 1*10^-6

value of 1/ (4 pi ∈ )is=9 *10^9

            ( 1*10^-6 ) / 4 pi ∈    =   r

               ( 10^-6)  *  (9*10^9)=  r

                9 *10^3                 =  r

                 9000                    =  r

          diameter d=2*r

                              = 2* 9000

                            d  = 18000 m

Answer 2

Answer:

Explanation:

• Spherical Conductor: A sphere shaped material through which current can flow is known as spherical conductor.
• Capacity: Capacity means the ability of a material to store electric energy. It is calculated by capacitance of the material.

                   It is denoted by "C" and its unit is "farad" (F).

• The capacitance of a spherical conductor is calculated by the following formula: C = 4π∈(0)R

        ∈(0) = dielectric constant in air = 8.854 x $10^{-12}$ C²/N-m²

        1/ 4π∈(0) = 9 x $10^{9}$ N-m²/C²

        R = radius of the spherical conductor.

• Given, C = 1 micro farad = 1 × $10^{-6}$ F =  $10^{-6}$ F

        From above formula, R = C/ 4π∈(0) = C x 1/4π∈(0)

                                                                   =   $10^{-6}$ x 9 x $10^{9}$ m

                                                                   = 9 x 10³ m

• Diameter of the conductor = 2R = 2 x 9 x 10³ m = 18x 10³ m .

 Here is the links to know more about capacity of spherical conductor:

https://brainly.in/question/9047081?referrer=searchResults

https://brainly.in/textbook-solutions/q-calculate-radius-spherical-conductor-1-pf-capacitance?source=qa-qp-match