Physics, asked by quantumhero, 1 year ago

The capacitance of two concentric spheres of radii R1 and R2 is ( )

jay1001: Hi do you want me to derive it ?

quantumhero: yes bro

Answers

Answered by jay1001

Answer:

- $-\int\limits^R_r {kQ/r^2} \, dr$

Explanation:

C = Q/V

E =kQ²/R

dV = E dr = -kQ²/R dR

Integrating from R1 to R2 ( i have taken R1 as r and R2 as R)

we get

- $-\int\limits^R_r {kQ/r^2} \, dr$

Now to find capacitance, we get

C = Q/V

Substituting V in the equation

C = (4Πε)/(1/r - 1/R)

quantumhero: answer is qr1r2/r1-r2

jay1001: no ? it is this answer, once you integrate you get

jay1001: KQ[ 1/r - 1/R]

jay1001: Come on man, integrate the term

jay1001: it's the same thing

quantumhero: ok boi

jay1001: got it right ?

quantumhero: thanks bro

jay1001: welcome

jay1001: A slight change, just edited it

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