(a) If a drop of liquid has capacitance 1.00 pF, what is its radius? (b) If another drop has rad

step 1 Okay, so there are three questions here. First, we need to find if drop of liquid has capacitanc

(a) If a drop of liquid has capacitance 1.00 pF, what is its...

(a) If a drop of liquid has capacitance $1.00 \mathrm{pF},$ what is its radius? (b) If another drop has radius $2.00 \mathrm{mm},$ what is its capacitance? (c) What is the charge on the smaller drop if its potential is $100 \mathrm{V} ?$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Capacitance of an Isolated Sphere

This concept involves understanding that the capacitance of an isolated spherical conductor is given by the formula C = 4???R, where C is the capacitance, R is the radius of the sphere, and ?? is the permittivity of free space. It shows that the ability of a sphere to store charge increases linearly with its radius regardless of its material, assuming it is a conductor in free space.

Permittivity of Free Space (??)

This constant appears in the fundamental equations of electromagnetism, including Coulomb's law and formulas for capacitance. It quantifies how electric fields interact with the vacuum and influences the proportionality between charge and potential, appearing in the capacitance formula of a sphere.

Relationship Between Charge, Capacitance, and Potential

This key concept is expressed by the equation Q = CV, where Q is the charge stored, C is the capacitance, and V is the electric potential. It explains how the potential difference across an object influences the amount of stored charge, given its capacitance.

Transcript

Please give Ace some feedback