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Chapter 21: Problem 29

A current of \(5.00 \mathrm{~mA}\) is enough to make your muscles twitch. Calculate how many electrons flow through your skin if you are exposed to such a current for \(10.0 \mathrm{~s}\).

Short Answer

Expert verified
Answer: Approximately \(3.13 \times 10^{17}\) electrons.

Step by step solution

01

Convert the current to Coulombs per second

Given current, \(I = 5.00 \mathrm{~mA}\). To convert milliamperes (mA) to Amperes (A), divide by 1000: \(I = \frac{5.00}{1000} \mathrm{~A} = 0.005 \mathrm{~A}\)
02

Calculate the total charge that passed through the skin

Given time, \(t = 10.0 \mathrm{~s}\). We can calculate the total charge that passed through the skin using the formula \(Q = I \times t\), \(Q = 0.005 \mathrm{~A} \times 10.0 \mathrm{~s} = 0.05 \mathrm{~C}\)
03

Find the number of electrons

The charge of a single electron is approximately \(1.6 \times 10^{-19} \mathrm{~C}\). To find the number of electrons, divide the total charge by the charge of a single electron: \(n = \frac{0.05 \mathrm{~C}}{1.6 \times 10^{-19} \mathrm{~C}}\) \(n \approx 3.13 \times 10^{17}\) electrons So, approximately \(3.13 \times 10^{17}\) electrons flow through the skin when exposed to such a current for 10.0 s.

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Most popular questions from this chapter

Performing an experiment similar to Millikan's oil drop experiment, a student measures these charge magnitudes: \(3.26 \cdot 10^{-19} \mathrm{C} \quad 5.09 \cdot 10^{-19} \mathrm{C} \quad 1.53 \cdot 10^{-19} \mathrm{C}\) \(6.39 \cdot 10^{-19} \mathrm{C} \quad 4.66 \cdot 10^{-19} \mathrm{C}\) Find the charge on the electron using these measurements.

When a metal plate is given a positive charge, which of the following is taking place? a) Protons (positive charges) are transferred to the plate from another object. b) Electrons (negative charges) are transferred from the plate to another object. c) Electrons (negative charges) are transferred from the plate to another object, and protons (positive charges) are also transferred to the plate from another object. d) It depends on whether the object conveying the charge is a conductor or an insulator.

Why does a garment taken out of a clothes dryer sometimes cling to your body when you wear it?

Eight \(1.00-\mu C\) charges are arrayed along the \(y\) -axis located every \(2.00 \mathrm{~cm}\) starting at \(y=0\) and extending to \(y=14.0 \mathrm{~cm} .\) Find the force on the charge at \(y=4.00 \mathrm{~cm} .\)

The force between a charge of \(25 \mu C\) and a charge of \(-10 \mu C\) is \(8.0 \mathrm{~N}\). What is the separation between the two charges? a) \(0.28 \mathrm{~m}\) c) \(0.45 \mathrm{~m}\) b) \(0.53 \mathrm{~m}\) d) \(0.15 \mathrm{~m}\)
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