valourvo
Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

The capacitance of an isolated charged sphere is independent of both the ______ on the sphere and the __________, it is dependent only on its_______​

Sagot :

onyebuchinnaji

The capacitance of an isolated charged sphere is independent of both the charge on the sphere and the potential difference, it is dependent only on its radius

The capacitance of an isolated sphere is calculated as follows;

  • let the charge on the sphere = Q
  • let the potential difference = V
  • let the radius of the sphere = R

The potential difference is given as;

[tex]V = \frac{kQ}{R}[/tex]

where;

k is Coulomb's constant [tex]= 4\pi \epsilon _0[/tex]

The capacitance is given as;

[tex]c = \frac{Q}{\Delta V} = \frac{Q}{V_1 - V_2} \\\\at \ infinite \ radius \ R , V_2 = 0\\\\c = \frac{Q}{V_1 } \ \ \ \ (V_1 = V = \frac{kQ}{R} )\\\\c = \frac{Q}{kQ/R} \\\\c = \frac{R}{k}\\\\c = \frac{R}{4\pi \epsilon_0}[/tex]

From the equation above, the capacitance (c) is directly proportional to its radius (R) and independent of both the charge (Q) on the sphere and the potential difference (V).

Thus, the capacitance of an isolated charged sphere is independent of both the charge on the sphere and the potential difference, it is dependent only on its radius

Learn more here: https://brainly.com/question/12948250

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.