Energy storage of isolated conductor sphere

What is the charge of an isolated conductor?

The charge of an isolated conductor is a special case of this, where the second conductor is taken to be located an infinite distance away. (You can imagine the second conductor being a sphere of radius r → ∞, although the shape of the distant conductor does not actually matter.)

How does the capacitance of a conducting sphere affect its potential?

The capacitance of a conducting sphere is directly proportional to the radius of the sphere. The bigger the sphere, the more charge you have to put on it to raise its potential one volt (in other words, the bigger the capacitance of the sphere). This is true of conducting objects in general.

Why is the electric field of a charged sphere indistinguishable?

We have already covered the fact that the electric field of the charged sphere, from an infinite distance away, all the way to the surface of the sphere, is indistinguishable from the electric field due to a point charge q at the position of the center of the sphere; and; everywhere inside the surface of the sphere, the electric field is zero.

How do you calculate the capacitance of a charged sphere?

Calculate: a) The capacitance of the sphere. b) The potential of the sphere after discharging. Answer: Part (a) Step 1: List the known quantities Step 2: Write out the equation for the capacitance of a charged sphere C = 4π ε0R Step 3: Calculate the capacitance C = 4π × (8.85 × 10 −12) × (75 × 10 −2)

Which sphere attracts a negative charge?

The original sphere, having positive charge q q, attracts the negative charge in the second sphere and repels the positive charge. The near side of the second sphere winds up with a negative charge and the far side, with the same amount of positive charge. (The second sphere remains neutral overall.)

Why is there no capacitance if an object is truly isolated?

If it is truly isolated, there is no capacitance. There is also no way to define the voltage. Voltage is always measured as a difference between two points. Similarly, capacitance is caused by opposite charges on two or more nearby objects. That excludes isolated objects. If it is truly isolated, there is no capacitance.