11.5 electric current, Study notes of Design

Electric current is responsible for the transfer of electrical energy along a conducting wire. Your computer, refrigerator, stove, and battery charger simply.

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11.5
Figure 1 Direct current showing the
electrons moving in one direction only.
The positive charges represent the
nuclei of the atoms and do not move.
connection to negative terminal
connection to positive terminal
e
e
e
e
e
e
e
electric current
Th e movement of electrons (an electric current) is required for an electrical device
to operate. Electric current is responsible for the transfer of electrical energy along
a conducting wire. Your computer, refrigerator, stove, and battery charger simply
would not work without moving electrons in conducting wires.
direct Current
Direct current (DC) is the fl ow of electrons in only one direction through a circuit. Th e
electrons fl ow from the negative terminal of the source of electrical energy and travel
through the conducting wires toward the positive terminal.
Th e outer electrons in the atoms of a metal conductor are not tightly held to their
nuclei; rather, they move around randomly and are considered “free electrons.” When
a source of electrical energy (for example, a battery) is supplied to a circuit, free elec-
trons will move in one direction through the conductor (Figure 1). Th is movement
of the free electrons is the direct current. Th e more free electrons that are moving in
one direction, the greater is the direct current.
Th e fi rst sources of electrical energy were similar in design to batteries and all pro-
duced a direct current. In 1820, French physicist André-Marie Ampère performed
experiments on direct currents in wires. He was interested in measuring the intensity
of the current, which is why today we use the symbol I to represent electric current.
In recognition of his contributions to the understanding of electric current, the unit
of measurement for electric current is called the ampere (A). Th e equation that
describes the amount of electric current is
where I 5 current (A), Q 5 amount of charge (C), and Δt 5 time interval (s). One
coulomb of charge (or electrons) passing one point every second in a circuit is equiva-
lent to one ampere. Th erefore, 1 A 5 1 C/s. In illustrations of current, we oft en depict
only a few electrons. However, a coulomb of electrons is 6.2 × 1018 electrons. So a cur-
rent of 1 A means over 6 billion billion electrons moving past a point each second.
direct current (DC) the movement of
electrons in only one direction
I5Q
Dt
Tutorial 1 Using the Current Equation
When you are given the amount of charge and the change in time, you can use the
equation
I5Q
Dt
to fi nd the amount of current. We will apply the current equation
in the following Sample Problem.
Sample Problem 1
Calculate the amount of current through a wire that has 0.85 C of electrons passing a
point in 2.5 min.
Given: Q 5 0.85 C; Δt 5 2.5 min
Required: I
Analysis:
I5Q
Dt
Solution: Convert time to seconds to get the answer in coulombs per second,
or amperes:
Dt52.5 min 360 s
1 min
Dt5150 s
NEL
516 Chapter 11 • Electricity and Its Production
7381a_Phy_Ch11_pp498-545.indd 516 1/6/11 1:36:53 PM
pf3

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Figure 1 Direct current showing the electrons moving in one direction only. The positive charges represent the nuclei of the atoms and do not move.

connection to negative terminal

connection to positive terminal

e – e – e –

e – e –

e – e –

electric current

The movement of electrons (an electric current) is required for an electrical device

to operate. Electric current is responsible for the transfer of electrical energy along

a conducting wire. Your computer, refrigerator, stove, and battery charger simply

would not work without moving electrons in conducting wires.

direct Current

Direct current (DC) is the flow of electrons in only one direction through a circuit. The

electrons flow from the negative terminal of the source of electrical energy and travel

through the conducting wires toward the positive terminal.

The outer electrons in the atoms of a metal conductor are not tightly held to their

nuclei; rather, they move around randomly and are considered “free electrons.” When

a source of electrical energy (for example, a battery) is supplied to a circuit, free elec-

trons will move in one direction through the conductor ( Figure 1 ). This movement

of the free electrons is the direct current. The more free electrons that are moving in

one direction, the greater is the direct current.

The first sources of electrical energy were similar in design to batteries and all pro-

duced a direct current. In 1820, French physicist André-Marie Ampère performed

experiments on direct currents in wires. He was interested in measuring the intensity

of the current, which is why today we use the symbol I to represent electric current.

In recognition of his contributions to the understanding of electric current, the unit

of measurement for electric current is called the ampere (A). The equation that

describes the amount of electric current is

where I 5 current (A), Q 5 amount of charge (C), and Δt 5 time interval (s). One

coulomb of charge (or electrons) passing one point every second in a circuit is equiva-

lent to one ampere. Therefore, 1 A 5 1 C/s. In illustrations of current, we often depict

only a few electrons. However, a coulomb of electrons is 6.2 × 10^18 electrons. So a cur-

rent of 1 A means over 6 billion billion electrons moving past a point each second.

direct current (DC) the movement of electrons in only one direction

I 5

Q

Dt

Tutorial 1 Using the Current Equation When you are given the amount of charge and the change in time, you can use the equation I 5

Q

Dt

to find the amount of current. We will apply the current equation in the following Sample Problem.

Sample Problem 1 Calculate the amount of current through a wire that has 0.85 C of electrons passing a point in 2.5 min. Given: Q 5 0.85 C; Δt 5 2.5 min Required: I

Analysis: I 5

Q

Dt Solution: Convert time to seconds to get the answer in coulombs per second, or amperes:

Dt 5 2.5 min 3

60 s 1 min Dt 5 150 s

516 Chapter 11 • Electricity and Its Production NEL

Figure 2 An ammeter is connected in series to measure electric current.

12.0 V

ammeter

battery

light

NEL^ 11.5 Electric Current^517

Effects of Current on your Body

The nerve cells in your body communicate with each other by creating very small

electric currents. If a larger current is transmitted through your body it can overload

your nervous system. By touching a wire with a current flowing through it, you can

affect the current in your body ( Table 1 ). Muscles will contract and you may not be

able to let go of the wire. The electric current will also cause burns, because some of

the electrical energy will be transformed into thermal energy. An electric shock can

burn tissue deep inside the body, not just on the surface.

Measuring Electric Current

An ammeter is a device that measures electric current. An electrician uses an ammeter

to determine the current in a home circuit. Too much current can be dangerous

because moving electrons cause wires to heat up. Ammeters must be connected in

series in a circuit ( Figure 2 ), so that all the electrons flowing through the wire also

have to flow through the ammeter, giving an accurate reading of the current. If the

ammeter were connected in parallel, there would be more than one path for the cur-

rent to flow along: one path would be into the circuit while the other path would be

through the ammeter. You would not be sure how much of the current went through

the path. The symbol for an ammeter is.

ammeter electrical device that measures electric current; must be connected to the circuit in series

I 5

Q

Dt

5

0.85 C

150 s I 5 0.0057 A Statement: The current is 0.005 7 A.

Practice

  1. What is the current travelling through a cellphone charger when 0.20 mC of electrons pass a point in 0.75 min? Answer in amperes and microamperes (μA). T/i (^) [ans: 4.4 3 10 -6^ A; 4.4 μA]
  2. How many electrons, measured in coulombs, result from a current of 15 A for 24 h? T/i (^) [ans: 1.3 3 106 C]

Table 1 Effects of Current on Your Body

Direct current (A) Sensation 0.0008 slight tingling 0.051 painful but can still control muscles 0.064 painful but can let go of wires 0.075 severe pain with difficulty breathing 0.50 possible heart fibrillation

UO5-F008-OP11USB Crowle Art Group Deborah Crowle

Ontario Physics 11 U 0176504338 FN CO

A