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Chapter 13
Current Electricity
Lecture-3
Resistance and Resistivity
 What is resistance?
◦ It is the opposition to the current flow offered by
the component.
 Why do conductors offer resistance?
◦ Due to collision between electrons and vibrating
atoms.
◦ The more the collision, more will be the
resistance offered, and less current will flow at
particular voltage
◦ http://www.absorblearning.com/media/attachmen
t.action?quick=t6&att=2090
◦ Formula:
Resistance and Resistivity
 Formula:
 On what factors does the Resistance
depends?
 Which wire will have more resistance?
◦ A)
◦ B)
 Rho is the Resistivity of material.
Resistance and Resistivity
 Does the Resistance depends upon the
temperature of body?
◦ Yes, the Resistance of conductor increases with
increase in temperature.
 Why?
◦ What is the relation between the K.E and
Temperature of body?
◦ K.E of atoms is directly proportional to T
◦ So when you increase temperature the atoms
start vibrating with greater amplitude, thus
increasing the chances of more collision.
◦ http://www.absorblearning.com/media/attachmen
t.action?quick=11a&att=2673
Resistance and Resistivity
 The rho i.e , is called the resistivity of
conductor.
 Does it depends on Length and Area like
the “resistance”??
◦ No
◦ It Is the property of certain material.
◦ It is defined as the resistance of 1 meter
cube of substance.
◦ http://phet.colorado.edu/sims/resistance-in-a-
wire/resistance-in-a-wire_en.html
◦ But it do change with change in temperature
like “resistance” of conductor?
Resistance and Resistivity
 Temperature co-efficient of resistance.
◦ Change in resistance per Kelvin
◦ Formula :
◦ Can have a negative value?
 Yes,But what is the meaning of –ve ?
 Temperature co-efficient of resistivity.
◦ Change in resistivity per Kelvin
◦ Formula:
Resistance and Resistivity
 Example 13.2:
◦ 0.75A current flows through an iron wire and
when a battery of 1.5V is connected across
its ends.The length of wire is 5m and its
cross sectional area is 2.5E-7 . .Find the
resistivity?
 Example 1:
◦ If the Area is doubled will the resistance
increase or decrease and by what amount?
◦ Does the resistivity increase/decrease by
same amount?

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Chapter 13 lecture 3

  • 2. Resistance and Resistivity  What is resistance? ◦ It is the opposition to the current flow offered by the component.  Why do conductors offer resistance? ◦ Due to collision between electrons and vibrating atoms. ◦ The more the collision, more will be the resistance offered, and less current will flow at particular voltage ◦ http://www.absorblearning.com/media/attachmen t.action?quick=t6&att=2090 ◦ Formula:
  • 3. Resistance and Resistivity  Formula:  On what factors does the Resistance depends?  Which wire will have more resistance? ◦ A) ◦ B)  Rho is the Resistivity of material.
  • 4. Resistance and Resistivity  Does the Resistance depends upon the temperature of body? ◦ Yes, the Resistance of conductor increases with increase in temperature.  Why? ◦ What is the relation between the K.E and Temperature of body? ◦ K.E of atoms is directly proportional to T ◦ So when you increase temperature the atoms start vibrating with greater amplitude, thus increasing the chances of more collision. ◦ http://www.absorblearning.com/media/attachmen t.action?quick=11a&att=2673
  • 5. Resistance and Resistivity  The rho i.e , is called the resistivity of conductor.  Does it depends on Length and Area like the “resistance”?? ◦ No ◦ It Is the property of certain material. ◦ It is defined as the resistance of 1 meter cube of substance. ◦ http://phet.colorado.edu/sims/resistance-in-a- wire/resistance-in-a-wire_en.html ◦ But it do change with change in temperature like “resistance” of conductor?
  • 6. Resistance and Resistivity  Temperature co-efficient of resistance. ◦ Change in resistance per Kelvin ◦ Formula : ◦ Can have a negative value?  Yes,But what is the meaning of –ve ?  Temperature co-efficient of resistivity. ◦ Change in resistivity per Kelvin ◦ Formula:
  • 7. Resistance and Resistivity  Example 13.2: ◦ 0.75A current flows through an iron wire and when a battery of 1.5V is connected across its ends.The length of wire is 5m and its cross sectional area is 2.5E-7 . .Find the resistivity?  Example 1: ◦ If the Area is doubled will the resistance increase or decrease and by what amount? ◦ Does the resistivity increase/decrease by same amount?