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Medical Physics
SHS-212
Delivered By
Dr. Muhammad Tahir
Assistant Professor
Department of Physics
UMT, Lahore
Electric Current
The electric current is the amount of charge per unit time that
passes through a surface that is perpendicular to the motion of
the charges.
The SI unit of electric current is the ampere (A), after the French
mathematician André Ampére (1775-1836). 1 A = 1 C/s. Ampere is a
large unit for current. In practice milliampere (mA) and microampere
(μA) are used.
.
t
Q
I



Essentials of producing current
• Potential Difference
• A pathway along which electrons can move
Electromotive Force (emf)
Within a battery, a chemical reaction occurs
that transfers electrons from one terminal (leaving it
positively charged) to another terminal (leaving it
negatively charged).
Because of the positive and negative charges on the
battery terminals, an electric potential difference
exists between them. The maximum potential
difference is called the electromotive force* (emf) of
the battery.
The electric potential difference is also known as the
voltage, V.
The SI unit for voltage is the volt, after Alessandro
Volta (1745-1827) who invented the electric battery.
1 volt = 1 J/C.
• The greater the p.d , the greater the emf.
• Measured in same unit. Volts
• EMF can be produced by electromagnetic induction ,
by chemical action in cells, by heat in thermocouple
• In all these methods p.d is maintained in spite of
electron flow.
Direction of Current Flow
Electric current is a flow of electrons. In a circuit, electrons
actually flow through the metal wires.
It is customary to use a conventional current I in the
opposite direction to the electron flow.
Electrical Resistance
When electric current flows through a metal wire there exists a
hindrance to the flow, known as electrical resistance.
This is because as the electrons move through they will collide
with the atoms of the conductor.
The SI unit of resistance is the ohm (Ω), after Georg Simon
Ohm (1787-1854), a German physicist, who discovered Ohm’s
law, which will be discussed in the next section.
A resistor is a material that provides a specified resistance in an
electric circuit.
Resistance depends on
• The material of the conductor
• The length of the pathway
• Cross-sectional area of the conductor
• Temprature
Material of conductor
• Some materials allow electrons to move through
them more easily.
• The electrons far from the nuclei are not so
strongly held.
• The electrons are free to move and available to
move.
• The greater the number of free electrons, the
smaller the resistance.
Intensity of Current
• The rate of flow of electron through the conductor
is known as intensity of current.
• The unit is coloumb per second.
• 1 coulomb is 1.6×10^19 electrons
Ohm’s Law
Georg Simon Ohm (1787-1854), a German physicist, discovered
Ohm’s law in 1826.
This is an experimental law, valid for both alternating current (ac)
and direct current (dc) circuits.
When you pass an electric current (I) through a resistance (R)
there will be a potential difference or voltage (V) created across
the resistance.
Ohm’s law gives a relationship between the voltage (V), current (I),
and resistance (R) as follows:
V = I R
Units
Quantity Symbol Unit
Name
Unit
Abbreviation
Current I ampere A
Voltage V volt V
Resistance R ohm Ω
Flashlight
Resistance,R and Resistivity,ρ
The resistance of a conductor is directly
proportional to the length since the current
needs to pass through all the atoms in the
length.
The resistance is inversely proportional to the
cross-sectional area since there is more room
for the current to pass through.
The above observations can be combined and
the resistance, R of the conductor is written as
follows,
.
A
L
R 

Resistivity of Materials
Resistivity is an inherent property of a material, inherent
in the same sense that density is an inherent property.
Impedance plethysmography
In the technique of impedance plethysmography, the
electrical resistance of the calf is measured to diagnose deep
venous thrombosis (blood clotting in the veins).
Electrical Energy
•Our daily life depends on electrical energy.
•We use many electrical devices that transform
electrical energy into other forms of energy.
• For example, a light bulb transforms electrical
energy into light and heat.
•Electrical devices have various power requirements.
Electric Power,P
.
time
Energy
P 
Since the electrical energy is charge times voltage (QV), the
above equation becomes,
.
t
QV
P 
Since the current is charge flow per unit time (Q/t), the
above equation becomes,
.
V
I
V
t
Q
t
QV
P 




Since V = IR, the above equation can also be written as,
.
2
2
R
V
R
I
IV
P 

 SI Unit of Power: watt(W)
Killowatt-hour (kWh)
The SI unit of power is watt, after James Watt (1736-1819),
who developed steam engines.
Utility companies use the unit kilowatt-hour to measure the
electrical energy used by customers. One kilowatt-hour,
kWh is the energy consumed for one hour at a power rate of
1 kW.
.
sec s
J
ond
joule
W
watt 


Alternating Current
V = V0 sin 2 p f t
Alternating Voltage from the outlet
Effective voltage ≈ 115 V, called the RMS value.
Electric circuits
• How do we deal with a more complicated case?
What is the current flowing from the battery?
Electric circuits
• When components are connected in series, the
same electric current flows through them
• Charge conservation : current cannot disappear!
Electric circuits
• When components are connected in parallel, the
same potential difference drops across them
• Points connected by a wire are at the same voltage!
Resistors in circuits
• Resistors are the basic components of a circuit that
determine current flow : Ohm’s law I = V/R
Resistors in series/parallel
• If two resistors are connected in series, what is the
total resistance?
same current
Resistors in series/parallel
• If two resistors are connected in series, what is the
total resistance?
• Total resistance increases in series!
Resistors in series/parallel
• Total resistance increases in series!
Resistors in series/parallel
• If two resistors are connected in parallel, what is
the total resistance?
Resistors in series/parallel
• If two resistors are connected in parallel, what is
the total resistance?
Resistors in series/parallel
• If two resistors are connected in parallel, what is
the total resistance?
• Total resistance decreases in parallel!
Resistors in series/parallel
• Total resistance decreases in parallel!
• What’s the current flowing?
Resistors in series/parallel
(1) Combine these 2
resistors in parallel:
(2) Combine all the
resistors in series:
THANK YOU

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Medical Physics: Electric Current and Resistance

  • 1. Medical Physics SHS-212 Delivered By Dr. Muhammad Tahir Assistant Professor Department of Physics UMT, Lahore
  • 2. Electric Current The electric current is the amount of charge per unit time that passes through a surface that is perpendicular to the motion of the charges. The SI unit of electric current is the ampere (A), after the French mathematician André Ampére (1775-1836). 1 A = 1 C/s. Ampere is a large unit for current. In practice milliampere (mA) and microampere (μA) are used. . t Q I   
  • 3. Essentials of producing current • Potential Difference • A pathway along which electrons can move
  • 4. Electromotive Force (emf) Within a battery, a chemical reaction occurs that transfers electrons from one terminal (leaving it positively charged) to another terminal (leaving it negatively charged). Because of the positive and negative charges on the battery terminals, an electric potential difference exists between them. The maximum potential difference is called the electromotive force* (emf) of the battery. The electric potential difference is also known as the voltage, V. The SI unit for voltage is the volt, after Alessandro Volta (1745-1827) who invented the electric battery. 1 volt = 1 J/C.
  • 5. • The greater the p.d , the greater the emf. • Measured in same unit. Volts • EMF can be produced by electromagnetic induction , by chemical action in cells, by heat in thermocouple • In all these methods p.d is maintained in spite of electron flow.
  • 6. Direction of Current Flow Electric current is a flow of electrons. In a circuit, electrons actually flow through the metal wires. It is customary to use a conventional current I in the opposite direction to the electron flow.
  • 7. Electrical Resistance When electric current flows through a metal wire there exists a hindrance to the flow, known as electrical resistance. This is because as the electrons move through they will collide with the atoms of the conductor. The SI unit of resistance is the ohm (Ω), after Georg Simon Ohm (1787-1854), a German physicist, who discovered Ohm’s law, which will be discussed in the next section. A resistor is a material that provides a specified resistance in an electric circuit.
  • 8. Resistance depends on • The material of the conductor • The length of the pathway • Cross-sectional area of the conductor • Temprature
  • 9.
  • 10. Material of conductor • Some materials allow electrons to move through them more easily. • The electrons far from the nuclei are not so strongly held. • The electrons are free to move and available to move. • The greater the number of free electrons, the smaller the resistance.
  • 11. Intensity of Current • The rate of flow of electron through the conductor is known as intensity of current. • The unit is coloumb per second. • 1 coulomb is 1.6×10^19 electrons
  • 12. Ohm’s Law Georg Simon Ohm (1787-1854), a German physicist, discovered Ohm’s law in 1826. This is an experimental law, valid for both alternating current (ac) and direct current (dc) circuits. When you pass an electric current (I) through a resistance (R) there will be a potential difference or voltage (V) created across the resistance. Ohm’s law gives a relationship between the voltage (V), current (I), and resistance (R) as follows: V = I R
  • 13. Units Quantity Symbol Unit Name Unit Abbreviation Current I ampere A Voltage V volt V Resistance R ohm Ω
  • 15. Resistance,R and Resistivity,ρ The resistance of a conductor is directly proportional to the length since the current needs to pass through all the atoms in the length. The resistance is inversely proportional to the cross-sectional area since there is more room for the current to pass through. The above observations can be combined and the resistance, R of the conductor is written as follows, . A L R  
  • 16. Resistivity of Materials Resistivity is an inherent property of a material, inherent in the same sense that density is an inherent property.
  • 17. Impedance plethysmography In the technique of impedance plethysmography, the electrical resistance of the calf is measured to diagnose deep venous thrombosis (blood clotting in the veins).
  • 18. Electrical Energy •Our daily life depends on electrical energy. •We use many electrical devices that transform electrical energy into other forms of energy. • For example, a light bulb transforms electrical energy into light and heat. •Electrical devices have various power requirements.
  • 19. Electric Power,P . time Energy P  Since the electrical energy is charge times voltage (QV), the above equation becomes, . t QV P  Since the current is charge flow per unit time (Q/t), the above equation becomes, . V I V t Q t QV P      Since V = IR, the above equation can also be written as, . 2 2 R V R I IV P    SI Unit of Power: watt(W)
  • 20. Killowatt-hour (kWh) The SI unit of power is watt, after James Watt (1736-1819), who developed steam engines. Utility companies use the unit kilowatt-hour to measure the electrical energy used by customers. One kilowatt-hour, kWh is the energy consumed for one hour at a power rate of 1 kW. . sec s J ond joule W watt   
  • 22. V = V0 sin 2 p f t
  • 23. Alternating Voltage from the outlet Effective voltage ≈ 115 V, called the RMS value.
  • 24. Electric circuits • How do we deal with a more complicated case? What is the current flowing from the battery?
  • 25. Electric circuits • When components are connected in series, the same electric current flows through them • Charge conservation : current cannot disappear!
  • 26. Electric circuits • When components are connected in parallel, the same potential difference drops across them • Points connected by a wire are at the same voltage!
  • 27. Resistors in circuits • Resistors are the basic components of a circuit that determine current flow : Ohm’s law I = V/R
  • 28. Resistors in series/parallel • If two resistors are connected in series, what is the total resistance? same current
  • 29. Resistors in series/parallel • If two resistors are connected in series, what is the total resistance? • Total resistance increases in series!
  • 30. Resistors in series/parallel • Total resistance increases in series!
  • 31. Resistors in series/parallel • If two resistors are connected in parallel, what is the total resistance?
  • 32. Resistors in series/parallel • If two resistors are connected in parallel, what is the total resistance?
  • 33. Resistors in series/parallel • If two resistors are connected in parallel, what is the total resistance? • Total resistance decreases in parallel!
  • 34. Resistors in series/parallel • Total resistance decreases in parallel!
  • 35. • What’s the current flowing? Resistors in series/parallel (1) Combine these 2 resistors in parallel: (2) Combine all the resistors in series: