The current in a wire is 0.500 A. (a) How much charge flows through a cross section of the wire

The current in a wire is 0.500 A. (a) How much charge flows...

Key Concepts

Time-Current Relationship

The formula Q = I × t expresses the direct relationship between the electric current flowing through a conductor and the time during which it flows. This relationship is a cornerstone in electrical physics, as it links the measurable flow of charge (current) with the total charge moved (coulombs) over a period of time.

Elementary Charge

The elementary charge is the smallest unit of electric charge, carried by a single electron, and is approximately 1.602 × 10?¹? coulombs. By using this value, one can convert a total charge in coulombs into the number of electrons, which is essential in understanding the discrete nature of electric charge in atomic and subatomic processes.

Electric Current

Electric current is the rate at which electric charge flows through a conductor. It is measured in amperes (A), where one ampere is equivalent to one coulomb of charge passing a point per second. This concept is central to understanding how charge moves in electrical circuits and underpins many practical electrical applications.

Electric Charge

Electric charge is a fundamental property of matter that quantifies the amount of electricity. Measured in coulombs (C), it represents the total quantity of charge transferred. The relation Q = I × t, where I is current and t is time, allows us to calculate the total charge moved in a given time period.

Transcript

00:04 So for today's problem, we're asked to calculate the amount of charge is passing a given amount, a given surface area, provided that we are given the current, and we're given the amount of time it took.

00:17 So the first thing i'd like to do here, you all, is i wanted to define current.

00:23 Okay? let's define current as i is equal to the total amount of charge q that passes a given cross -sectional area in a given time, t.

00:35 Now, our problem defines our i as being equal to 0 .5 amps.

00:46 Now we know that t as well is equal to 10 seconds.

00:53 So from here, we want to rearrange our equation.

00:56 I'm going to multiply the t from the right side here.

01:00 I'm going to multiply it over there.

01:02 This is going to give me an expression for q as a function of the current and time is equal to i times t okay coming down here let's go ahead and solve this we plug in our givens we'll give that q is equal to 0 .5 amps times a time of 10 seconds or in other words this should be equal to five cool um all right let's go ahead box this in this is going to be the answer to the first part of our problem now let's go on to the second part the second part asks us to take this total charge we are given.

01:46 And now we want to know how many electrons pass the same surfaces, the same area, and the same amount of time.

01:52 So we know that our charge is 5 kool -on.

01:55 We also know the charge of an electron...

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