A hair dryer draws a current of 9.1 A a. How long does it take for 1.9 ×10^3 C of charge to pass

Name: Problem 18, Chapter 19: Holt Physics
Uploaded: 2020-06-25T20:11:09-08:00
Duration: 3 min 10 s
Channel: Brianna Owen
Description: A hair dryer draws a current of 9.1 A a. How long does it take for 1.9 ×10^3 C of charge to pass through the hair dryer? b. How many electrons does this amount of charge represent?

step 1 Let's say for the sake of this problem that we have a hair dryer and we want to figure out how m

Question

A hair dryer draws a current of $9.1 \mathrm{A}$ a. How long does it take for $1.9 \times 10^{3} \mathrm{C}$ of charge to pass through the hair dryer? b. How many electrons does this amount of charge represent?

   A hair dryer draws a current of $9.1 \mathrm{A}$
a. How long does it take for $1.9 \times 10^{3} \mathrm{C}$ of charge to pass through the hair dryer?
b. How many electrons does this amount of charge represent?

Holt Physics

Raymond A. Serway,… 1st Edition

Chapter 19, Problem 18

Instant Answer

Solved by Expert Brianna Owen

06/25/2020

Step 1

We need to find out two things: a) the time it takes for a charge of $1.9 \times 10^{3} \mathrm{C}$ to pass through a hair dryer that draws a current of $9.1 \mathrm{A}$, and b) how many electrons this amount of charge represents. Show more…

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A hair dryer draws a current of $9.1 \mathrm{A}$ a. How long does it take for $1.9 \times 10^{3} \mathrm{C}$ of charge to pass through the hair dryer? b. How many electrons does this amount of charge represent?

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Key Concepts

Electric Current

Electric current is the rate at which electric charge flows through a conductor. It is defined as the amount of charge passing through a given point per unit time, expressed in amperes (A), where one ampere equals one coulomb per second.

Time Calculation Using the Relationship Q = I × t

In electrical problems, the relationship Q = I × t is fundamental, where Q represents the total charge in coulombs, I is the current in amperes, and t is time in seconds. Rearranging this expression allows for finding the time required for a specific amount of charge to pass through a circuit when the current is known.

Charge Quantization and Electron Count

Every electron carries a specific and constant amount of charge, approximately 1.6 × 10?¹? coulombs. To determine how many electrons correspond to a given total charge, the total charge is divided by the charge of one electron, demonstrating the quantized nature of electric charge.

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