The radius of the circular plates of a parallel plate capacitor is R. Air is dielectric medium between the plates. If the capacitance of the capacitor is equal to the capacitance of a sphere of radius R, then the distance between the plates is

Question

The radius of the circular plates of a parallel plate capacitor is R. Air is dielectric medium between the plates. If the capacitance of the capacitor is equal to the capacitance of a sphere of radius R, then the distance between the plates is (A) R / 4 (B) R / 2 (C) R (D) 2 R '

Tardigrade Admin · Accepted Answer

C =(ε0(π R2)/x)=4 π ε0 R ⇒ x = R / 4

Q. The radius of the circular plates of a parallel plate capacitor is $R$ . Air is dielectric medium between the plates. If the capacitance of the capacitor is equal to the capacitance of a sphere of radius $R$ , then the distance between the plates is

$R /4$

$R /2$

$R$

$2 R^{'}$

$C = \frac{ε _{0} ( π R ^{2} )}{x} = 4 π ε_{0} R$
$\Rightarrow x = R /4$

Q. The radius of the circular plates of a parallel plate capacitor is R. Air is dielectric medium between the plates. If the capacitance of the capacitor is equal to the capacitance of a sphere of radius R, then the distance between the plates is

R/4

R/2

R

2R′

C=xε0​(πR2)​=4πε0​R ⇒x=R/4

Q. The radius of the circular plates of a parallel plate capacitor is $R$ . Air is dielectric medium between the plates. If the capacitance of the capacitor is equal to the capacitance of a sphere of radius $R$ , then the distance between the plates is

$R /4$

$R /2$

$R$

$2 R^{'}$

$C = \frac{ε _{0} ( π R ^{2} )}{x} = 4 π ε_{0} R$
$\Rightarrow x = R /4$