Question

A steady current of $0.50$ A flows through a wire. How much charge passes through the wire in one minute? Because $I=q / t$, it follows that $q=I t=(0.50 \mathrm{~A})(60 \mathrm{~s})=30 \mathrm{C}$. (Recall that $1 \mathrm{~A}=1 \mathrm{C} / \mathrm{s}$.)

Name: Problem 1, Chapter 26: Schaum’s Outline of College Physics
Uploaded: 2021-08-06T16:32:47-08:00
Duration: 2 min 12 s
Channel: Vishal Gupta
Description: A steady current of 0.50 A flows through a wire. How much charge passes through the wire in one minute? Because I=q / t, it follows that q=I t=(0.50 A)(60 s)=30 C. (Recall that 1 A=1 C / s.)

   A steady current of $0.50$ A flows through a wire. How much charge passes through the wire in one minute?
Because $I=q / t$, it follows that $q=I t=(0.50 \mathrm{~A})(60 \mathrm{~s})=30 \mathrm{C}$. (Recall that $1 \mathrm{~A}=1 \mathrm{C} / \mathrm{s}$.)

Schaum’s Outline of College Physics

Eugene Hecht 12th Edition

Chapter 26, Problem 1

Instant Answer

Solved by Expert Vishal Gupta

08/06/2021

Step 1

The current, denoted as $I$, is given as $0.50$ A. The time, denoted as $t$, is given as $1$ minute, but we need to convert this to seconds because the standard unit of time in physics is seconds. Therefore, $t = 60$ seconds. Show more…

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A steady current of $0.50$ A flows through a wire. How much charge passes through the wire in one minute? Because $I=q / t$, it follows that $q=I t=(0.50 \mathrm{~A})(60 \mathrm{~s})=30 \mathrm{C}$. (Recall that $1 \mathrm{~A}=1 \mathrm{C} / \mathrm{s}$.)

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Key Concepts

Unit Conversion

Proper unit conversion is crucial when working with electrical quantities. Since current is measured in coulombs per second, time must be converted to seconds if it is given in other units, such as minutes. This ensures that the relationship between charge, current, and time is accurately applied.

Electric Current

Electric current is defined as the rate at which electric charge flows through a conductor. It is measured in amperes (A), where one ampere equals one coulomb of charge per second, indicating the fundamental relationship between current, charge, and time.

Relationship Between Charge, Current, and Time

The amount of electric charge passing through a point in a circuit is determined by the product of the electric current and the time during which the current flows. This relationship is expressed by the formula q = I × t, where q is the charge in coulombs, I is the current in amperes, and t is the time in seconds.

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