Calculation of Current Flowing through a Conductor

To calculate the current flowing through a conductor, we need to use the formula:

Current (I) = Charge (Q) / Time (t)

Q = n x e

Where n is the number of electrons and e is the charge of an electron.

Calculation of Charge

The charge can be calculated using the formula:

Q = n x e

Where n is the number of electrons and e is the charge of an electron.

Given that a million electrons travel through the conductor in 1 microsecond, we can calculate the charge as follows:

n = 1,000,000 electrons
e = 1.602 x 10^-19 Coulombs (charge of an electron)

Q = 1,000,000 x 1.602 x 10^-19 = 1.602 x 10^-13 Coulombs

Calculation of Current

We can now calculate the current using the formula:

I = Q / t

Where Q is the charge and t is the time.

Given that the time taken is 1 microsecond or 10^-6 seconds, we can calculate the current as follows:

I = 1.602 x 10^-13 / 10^-6

I = 160.2 nanoamperes

Therefore, the current flowing through the conductor is 160.2 nanoamperes.

Explanation

When a potential difference is applied across a conductor, the electrons start to move in the direction of the applied potential difference. The movement of electrons through the conductor is called electric current. The current is measured in amperes (A) and is defined as the rate of flow of charge.

In this case, we were given the number of electrons that travel through the conductor in a given time. Using the formula for charge and current, we were able to calculate the amount of charge and current flowing through the conductor.

It is important to note that the current flowing through the conductor is directly proportional to the number of electrons passing through it. Therefore, if more electrons pass through the conductor in a given time, the current flowing through it will be higher.