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Electric Circuits
AS level Physics
Potential Difference =Voltage=EMF
In a battery, a series of chemical
reactions occur in which
electrons are transferred from
one terminal to another. There is
a potential difference (voltage)
between these poles.
The maximum potential difference
a power source can have is
called the electromotive force
or (EMF), e. The term isn't
actually a force, simply the
amount of energy per charge
(J/C or V)
A Basic Circuit
All electric circuits have three main parts
1. A source of energy
2. A closed path
3. A device which uses the energy
If ANY part of the circuit is open the device will not work!
Electricity can be symbolic of Fluids
Circuits are very similar to water flowing through a pipe
A pump basically works on TWO
IMPORTANT PRINCIPLES concerning its
flow
• There is a PRESSURE DIFFERENCE
where the flow begins and ends
• A certain AMOUNT of flow passes each
SECOND.
A circuit basically works on TWO
IMPORTANT PRINCIPLES
• There is a "POTENTIAL DIFFERENCE
aka VOLTAGE" from where the charge
begins to where it ends
• The AMOUNT of CHARGE that flows
PER SECOND is called CURRENT.
Current
Current is defined as the rate at which charge
flows through a surface.
The current is in the same direction as the flow
of positive charge (for this course)
Note: The “I” stands
for intensity
There are 2 types of Current
DC = Direct Current - current flows in one direction
Example: Battery
AC = Alternating Current- current reverses direction many times per second.
This suggests that AC devices turn OFF and
ON. Example: Wall outlet (progress energy)
Ohm’s Law
“The voltage (potential difference, emf) is directly
related to the current, when the resistance is
constant”
IR
IRV
R
R
IV





e

Resistance
alityproportionofconstant
Voltage vs. Current
0
1
2
3
4
5
6
7
8
9
10
0 0.2 0.4 0.6 0.8 1
Current(Amps)
Voltage(V)
Voltage(V)
Since R=V/I, the resistance is the
SLOPE of a V vs. I graph
Resistance
Resistance (R) – is defined as the restriction of electron
flow. It is due to interactions that occur at the atomic
scale. For example, as electron move through a
conductor they are attracted to the protons on the
nucleus of the conductor itself. This attraction doesn’t
stop the electrons, just slow them down a bit and cause
the system to waste energy.
The unit for resistance is
the OHM, W
Electrical POWER
We have already learned that POWER is the rate at which work
(energy) is done. Circuits that are a prime example of this as
batteries only last for a certain amount of time AND we get
charged an energy bill each month based on the amount of
energy we used over the course of a month…aka POWER.
POWER
It is interesting to see how certain electrical
variables can be used to get POWER. Let’s
take Voltage and Current for example.
Other useful power formulas
These formulas can also
be used! They are
simply derivations of
the POWER formula
with different versions
of Ohm's law
substituted in.
Ways to Wire Circuits
There are 2 basic ways to wire a circuit. Keep in
mind that a resistor could be ANYTHING ( bulb,
toaster, ceramic material…etc)
Series – One after another
Parallel – between a set of junctions and
parallel to each other
Schematic Symbols
Before you begin to understand circuits you need to be able to
draw what they look like using a set of standard symbols
understood anywhere in the world
For the battery symbol, the
LONG line is considered to be
the POSITIVE terminal and the
SHORT line , NEGATIVE.
The VOLTMETER and AMMETER
are special devices you place IN
or AROUND the circuit to
measure the VOLTAGE and
CURRENT.
The Voltmeter and Ammeter
The voltmeter and ammeter cannot be
just placed anywhere in the circuit. They
must be used according to their
DEFINITION.
Since a voltmeter measures voltage or
POTENTIAL DIFFERENCE it must be
placed ACROSS the device you want
to measure. That way you can measure
the CHANGE on either side of the
device.
Voltmeter is drawn ACROSS the resistor
Since the ammeter measures the current or
FLOW it must be placed in such a way as the
charges go THROUGH the device.
Current goes THROUGH the ammeter
Simple Circuit
When you are drawing a
circuit it may be a wise
thing to start by drawing
the battery first, then
follow along the loop
(closed) starting with
positive and drawing
what you see.
Series Circuit
In in series circuit, the resistors
are wired one after another.
Since they are all part of the
SAME LOOP they each
experience the SAME
AMOUNT of current. In
figure, however, you see
that they all exist
BETWEEN the terminals of
the battery, meaning they
SHARE the potential
(voltage).
321)(
321)(
VVVV
IIII
Totalseries
Totalseries


Series Circuit
321)(
321)(
VVVV
IIII
Totalseries
Totalseries


As the current goes through the circuit, the charges must USE ENERGY to get
through the resistor. So each individual resistor will get its own individual potential
voltage). We call this VOLTAGE DROP.




is
series
seriesTT
Totalseries
RR
RRRR
RIRIRIRI
IRVVVVV
321
332211
321)(
)(
;
Note: They may use the
terms “effective” or
“equivalent” to mean
TOTAL!
Example A series circuit is shown to the left.
a) What is the total resistance?
b) What is the total current?
c) What is the current across EACH
resistor?
d) What is the voltage drop across
each resistor?( Apply Ohm's law
to each resistor separately)
R(series) = 1 + 2 + 3 = 6W
V=IR 12=I(6) I = 2A
They EACH get 2 amps!
V1W(2)(1) 2 V V3W=(2)(3)= 6V V2W=(2)(2)= 4V
Notice that the individual VOLTAGE DROPS add up to the TOTAL!!
Parallel Circuit
In a parallel circuit, we have
multiple loops. So the
current splits up among
the loops with the
individual loop currents
adding to the total
current
It is important to understand that parallel
circuits will all have some position
where the current splits and comes back
together. We call these JUNCTIONS.
The current going IN to a junction will
always equal the current going OUT of a
junction.
Junctions OUTIN
Totalparallel
II
IIII


:JunctionsRegarding
321)(
Parallel Circuit Notice that the JUNCTIONS both touch the
POSTIVE and NEGATIVE terminals of the
battery. That means you have the SAME
potential difference down EACH individual
branch of the parallel circuit. This means
that the individual voltages drops are equal.
This junction
touches the
POSITIVE
terminal
This junction
touches the
NEGATIVE
terminal
V





iP
P
Parallel
T
T
Totalparallel
Totalparallel
RR
RRRR
R
V
R
V
R
V
R
V
IRVIIII
VVVV
11
1111
)(
;
321
3
3
2
2
1
1
321)(
321)(
Example


454.0
1
454.0
1
9
1
7
1
5
11
P
p
P
R
R
R


)(8 RI
IRV
To the left is an example of a parallel circuit.
a) What is the total resistance?
b) What is the total current?
c) What is the voltage across EACH resistor?
d) What is the current drop across each resistor?
(Apply Ohm's law to each resistor separately)
2.20 W
3.64 A
8 V each!


WWW
9
8
7
8
5
8
975 III
IRV
1.6 A 1.14 A 0.90 A
Notice that the
individual currents
ADD to the total.
Compound (Complex) Circuits
Many times you will have series and parallel in the SAME circuit.
Solve this type of circuit
from the inside out.
WHAT IS THE TOTAL
RESISTANCE?
W
W
3.1133.3380
3.33;
50
1
100
11
s
P
P
R
R
R
Compound (Complex) Circuits
W
W
3.1133.3380
3.33;
50
1
100
11
s
P
P
R
R
R



T
T
TTT
I
I
RIV
)3.113(120
Suppose the potential difference (voltage) is equal to 120V. What is the total
current?
1.06 A
What is the VOLTAGE DROP across the 80W resistor?



W
W
WWW
80
80
808080
)80)(06.1(
V
V
RIV
84.8 V
Compound (Complex) Circuits
AI
VV
AI
VV
R
T
T
T
06.1
8.84
06.1
120
3.113
80
80




W
W
W




3&2
3&2
3&21)(
32)(
8.84120
V
V
VVV
VVV
seriesT
parallelT
What is the VOLTAGE DROP across
the 100W and 50W resistor?
35.2 V Each! 



W
W
50
2.35
100
2.35
50
100
3&21)(
32)(
I
I
III
III
seriesT
parallelT
What is the current across the
100W and 50W resistor?
0.352 A
0.704 A
Add to
1.06A

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AS Level Physics- Electric circuits

  • 2. Potential Difference =Voltage=EMF In a battery, a series of chemical reactions occur in which electrons are transferred from one terminal to another. There is a potential difference (voltage) between these poles. The maximum potential difference a power source can have is called the electromotive force or (EMF), e. The term isn't actually a force, simply the amount of energy per charge (J/C or V)
  • 3. A Basic Circuit All electric circuits have three main parts 1. A source of energy 2. A closed path 3. A device which uses the energy If ANY part of the circuit is open the device will not work!
  • 4. Electricity can be symbolic of Fluids Circuits are very similar to water flowing through a pipe A pump basically works on TWO IMPORTANT PRINCIPLES concerning its flow • There is a PRESSURE DIFFERENCE where the flow begins and ends • A certain AMOUNT of flow passes each SECOND. A circuit basically works on TWO IMPORTANT PRINCIPLES • There is a "POTENTIAL DIFFERENCE aka VOLTAGE" from where the charge begins to where it ends • The AMOUNT of CHARGE that flows PER SECOND is called CURRENT.
  • 5. Current Current is defined as the rate at which charge flows through a surface. The current is in the same direction as the flow of positive charge (for this course) Note: The “I” stands for intensity
  • 6. There are 2 types of Current DC = Direct Current - current flows in one direction Example: Battery AC = Alternating Current- current reverses direction many times per second. This suggests that AC devices turn OFF and ON. Example: Wall outlet (progress energy)
  • 7. Ohm’s Law “The voltage (potential difference, emf) is directly related to the current, when the resistance is constant” IR IRV R R IV      e  Resistance alityproportionofconstant Voltage vs. Current 0 1 2 3 4 5 6 7 8 9 10 0 0.2 0.4 0.6 0.8 1 Current(Amps) Voltage(V) Voltage(V) Since R=V/I, the resistance is the SLOPE of a V vs. I graph
  • 8. Resistance Resistance (R) – is defined as the restriction of electron flow. It is due to interactions that occur at the atomic scale. For example, as electron move through a conductor they are attracted to the protons on the nucleus of the conductor itself. This attraction doesn’t stop the electrons, just slow them down a bit and cause the system to waste energy. The unit for resistance is the OHM, W
  • 9. Electrical POWER We have already learned that POWER is the rate at which work (energy) is done. Circuits that are a prime example of this as batteries only last for a certain amount of time AND we get charged an energy bill each month based on the amount of energy we used over the course of a month…aka POWER.
  • 10. POWER It is interesting to see how certain electrical variables can be used to get POWER. Let’s take Voltage and Current for example.
  • 11. Other useful power formulas These formulas can also be used! They are simply derivations of the POWER formula with different versions of Ohm's law substituted in.
  • 12. Ways to Wire Circuits There are 2 basic ways to wire a circuit. Keep in mind that a resistor could be ANYTHING ( bulb, toaster, ceramic material…etc) Series – One after another Parallel – between a set of junctions and parallel to each other
  • 13. Schematic Symbols Before you begin to understand circuits you need to be able to draw what they look like using a set of standard symbols understood anywhere in the world For the battery symbol, the LONG line is considered to be the POSITIVE terminal and the SHORT line , NEGATIVE. The VOLTMETER and AMMETER are special devices you place IN or AROUND the circuit to measure the VOLTAGE and CURRENT.
  • 14. The Voltmeter and Ammeter The voltmeter and ammeter cannot be just placed anywhere in the circuit. They must be used according to their DEFINITION. Since a voltmeter measures voltage or POTENTIAL DIFFERENCE it must be placed ACROSS the device you want to measure. That way you can measure the CHANGE on either side of the device. Voltmeter is drawn ACROSS the resistor Since the ammeter measures the current or FLOW it must be placed in such a way as the charges go THROUGH the device. Current goes THROUGH the ammeter
  • 15. Simple Circuit When you are drawing a circuit it may be a wise thing to start by drawing the battery first, then follow along the loop (closed) starting with positive and drawing what you see.
  • 16. Series Circuit In in series circuit, the resistors are wired one after another. Since they are all part of the SAME LOOP they each experience the SAME AMOUNT of current. In figure, however, you see that they all exist BETWEEN the terminals of the battery, meaning they SHARE the potential (voltage). 321)( 321)( VVVV IIII Totalseries Totalseries  
  • 17. Series Circuit 321)( 321)( VVVV IIII Totalseries Totalseries   As the current goes through the circuit, the charges must USE ENERGY to get through the resistor. So each individual resistor will get its own individual potential voltage). We call this VOLTAGE DROP.     is series seriesTT Totalseries RR RRRR RIRIRIRI IRVVVVV 321 332211 321)( )( ; Note: They may use the terms “effective” or “equivalent” to mean TOTAL!
  • 18. Example A series circuit is shown to the left. a) What is the total resistance? b) What is the total current? c) What is the current across EACH resistor? d) What is the voltage drop across each resistor?( Apply Ohm's law to each resistor separately) R(series) = 1 + 2 + 3 = 6W V=IR 12=I(6) I = 2A They EACH get 2 amps! V1W(2)(1) 2 V V3W=(2)(3)= 6V V2W=(2)(2)= 4V Notice that the individual VOLTAGE DROPS add up to the TOTAL!!
  • 19. Parallel Circuit In a parallel circuit, we have multiple loops. So the current splits up among the loops with the individual loop currents adding to the total current It is important to understand that parallel circuits will all have some position where the current splits and comes back together. We call these JUNCTIONS. The current going IN to a junction will always equal the current going OUT of a junction. Junctions OUTIN Totalparallel II IIII   :JunctionsRegarding 321)(
  • 20. Parallel Circuit Notice that the JUNCTIONS both touch the POSTIVE and NEGATIVE terminals of the battery. That means you have the SAME potential difference down EACH individual branch of the parallel circuit. This means that the individual voltages drops are equal. This junction touches the POSITIVE terminal This junction touches the NEGATIVE terminal V      iP P Parallel T T Totalparallel Totalparallel RR RRRR R V R V R V R V IRVIIII VVVV 11 1111 )( ; 321 3 3 2 2 1 1 321)( 321)(
  • 21. Example   454.0 1 454.0 1 9 1 7 1 5 11 P p P R R R   )(8 RI IRV To the left is an example of a parallel circuit. a) What is the total resistance? b) What is the total current? c) What is the voltage across EACH resistor? d) What is the current drop across each resistor? (Apply Ohm's law to each resistor separately) 2.20 W 3.64 A 8 V each!   WWW 9 8 7 8 5 8 975 III IRV 1.6 A 1.14 A 0.90 A Notice that the individual currents ADD to the total.
  • 22. Compound (Complex) Circuits Many times you will have series and parallel in the SAME circuit. Solve this type of circuit from the inside out. WHAT IS THE TOTAL RESISTANCE? W W 3.1133.3380 3.33; 50 1 100 11 s P P R R R
  • 23. Compound (Complex) Circuits W W 3.1133.3380 3.33; 50 1 100 11 s P P R R R    T T TTT I I RIV )3.113(120 Suppose the potential difference (voltage) is equal to 120V. What is the total current? 1.06 A What is the VOLTAGE DROP across the 80W resistor?    W W WWW 80 80 808080 )80)(06.1( V V RIV 84.8 V
  • 24. Compound (Complex) Circuits AI VV AI VV R T T T 06.1 8.84 06.1 120 3.113 80 80     W W W     3&2 3&2 3&21)( 32)( 8.84120 V V VVV VVV seriesT parallelT What is the VOLTAGE DROP across the 100W and 50W resistor? 35.2 V Each!     W W 50 2.35 100 2.35 50 100 3&21)( 32)( I I III III seriesT parallelT What is the current across the 100W and 50W resistor? 0.352 A 0.704 A Add to 1.06A