A5.6 cm diameter parallel-plate capacitor has a 0.58 mm gap. what is the displacement current in the capacitor if the potential difference across the capacitor is increasing at 500,000 v/s?

Explanation:

The capacitance of a parallel plate capacitor is given by:

(1)

where

is the vacuum permittivity

A is the area of the plates

d is the separation between the plates

The charge stored on the capacitor is given by

(2)

where C is the capacitance and V is the voltage across the capacitor.

The displacement current in the capacitor is given by

(3)

where t is the time elapsed

Substituting (1) and (2) into (3), we find an expression for the displacement current:

where we have

Substituting into the equation, we find

air exerts forces on falling objects near earth’s surface.

explanation:

the term 'free falls' refer to object that are falling towards the earth, in a situation in which gravity is the only force acting on the object.

for an object in free fall, the acceleration is constant (g, the gravitational acceleration), and so the velocity of the object constantly increases.

for objects near earth's surface, there is always another force acting on the object: the resistance due to the air. this force is opposed to the direction of fall of the object, and it is proportional to the velocity of the object, so as the object falls down, this force increases up to a point when it balances the force of gravity, and the object continues its motion at constant velocity (called terminal velocity). since in this case gravity is not the only force acting on the object, we are not in a situation of free fall.