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Internal Resistance, EMF and Oscilloscopes
What we are going to achieve today ,[object Object],[object Object],[object Object],[object Object]
Using lemons, limes and potatoes to power an LED zinc copper
Making Batteries There is nothing special about batteries – but these have a high internal resistance. R l What do you think the best way to minimise the internal resistance of your battery? Think about resistivity (lemon is a poor conductor)
Batteries What is the main energy transfer in a battery?  Electrical energy This is powered by two 1.5 V AA cells in series - what is the supply voltage? What is the emf of the supply? After a while the battery needs to be replaced; why? What determines how quickly it runs down? What determines how much current is drawn from the supply?
EMF Electromotive Force ,[object Object],[object Object],[object Object]
Batteries have internal resistance The circuit now has two resistors in The internal resistance of the battery, r is very small. R is much larger The total resistance of this circuit is  R total  = R +r I = E / (R+r)
Batteries have internal resistance As charge goes around the circuit the sum of emfs must equal the sum of voltage drops leading to EMF = I R + I r The terminal voltage is equal to I R so this can be rearranged to give: V = E – I r and interpreted as terminal voltage = emf – ‘lost volts’
R -small R total  = r + R  -small The current will now be larger as the total resistance of the circuit is much lower The voltage lost across r  V = I (large) r The voltage lost will now be a problem This case is of a small load resistance connected to a battery is seen in a starter motor on a car http://www.youtube.com/watch?v=al6Yz3Nv7dY http://www.youtube.com/watch?v=Ut7yBdIehYY&NR=1
Starter motor on a conventional car The headlamps are connected in parallel across a twelve-volt battery.  The starter motor is also in parallel controlled by the ignition switch. Since the starter motor has a very low resistance it demands a very high current (say 60 A).  The battery itself has a low internal resistance (say 0.01 Ω).  The headlamps themselves draw a much lower current (they have a higher resistance) Lamp R   Starter motor Ignition switch 12V What will happen to the lights?
Quick Questions ,[object Object],[object Object],[object Object],[object Object],[object Object],V = E – I r  V = IR E = I(R +r) You need to set up a simultaneous equation
Answers 1. (a) pd = E – I r = 9 – (50 x 10 -3  x 12) = 8.4 V (b) Max current = E/r = 9 / 12 = 0.75 A 2. E = I(R +r) E = 25 x 10 -3  (400 + r)  and  E = 60 x 10 -3  (100 + r) So 25 x 10 -3  (400 + r) = 60 x 10 -3  (100 + r) so r = 114.3   E = 10 + (25 x 10 -3  x 114.3) = 12.86 V I V
Oscilloscope Use the signal generator to create A/C (alternating current) on the Oscilloscope Draw 2 signals of 2 different frequencies  Work out the frequency of the  Oscilloscope  Add the magnitude of the wave height

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Internal Resistance, EMF and Oscilloscopes.ppt

  • 1. Internal Resistance, EMF and Oscilloscopes
  • 2.
  • 3. Using lemons, limes and potatoes to power an LED zinc copper
  • 4. Making Batteries There is nothing special about batteries – but these have a high internal resistance. R l What do you think the best way to minimise the internal resistance of your battery? Think about resistivity (lemon is a poor conductor)
  • 5. Batteries What is the main energy transfer in a battery? Electrical energy This is powered by two 1.5 V AA cells in series - what is the supply voltage? What is the emf of the supply? After a while the battery needs to be replaced; why? What determines how quickly it runs down? What determines how much current is drawn from the supply?
  • 6.
  • 7. Batteries have internal resistance The circuit now has two resistors in The internal resistance of the battery, r is very small. R is much larger The total resistance of this circuit is R total = R +r I = E / (R+r)
  • 8. Batteries have internal resistance As charge goes around the circuit the sum of emfs must equal the sum of voltage drops leading to EMF = I R + I r The terminal voltage is equal to I R so this can be rearranged to give: V = E – I r and interpreted as terminal voltage = emf – ‘lost volts’
  • 9. R -small R total = r + R -small The current will now be larger as the total resistance of the circuit is much lower The voltage lost across r V = I (large) r The voltage lost will now be a problem This case is of a small load resistance connected to a battery is seen in a starter motor on a car http://www.youtube.com/watch?v=al6Yz3Nv7dY http://www.youtube.com/watch?v=Ut7yBdIehYY&NR=1
  • 10. Starter motor on a conventional car The headlamps are connected in parallel across a twelve-volt battery. The starter motor is also in parallel controlled by the ignition switch. Since the starter motor has a very low resistance it demands a very high current (say 60 A). The battery itself has a low internal resistance (say 0.01 Ω). The headlamps themselves draw a much lower current (they have a higher resistance) Lamp R Starter motor Ignition switch 12V What will happen to the lights?
  • 11.
  • 12. Answers 1. (a) pd = E – I r = 9 – (50 x 10 -3 x 12) = 8.4 V (b) Max current = E/r = 9 / 12 = 0.75 A 2. E = I(R +r) E = 25 x 10 -3 (400 + r) and E = 60 x 10 -3 (100 + r) So 25 x 10 -3 (400 + r) = 60 x 10 -3 (100 + r) so r = 114.3  E = 10 + (25 x 10 -3 x 114.3) = 12.86 V I V
  • 13. Oscilloscope Use the signal generator to create A/C (alternating current) on the Oscilloscope Draw 2 signals of 2 different frequencies Work out the frequency of the Oscilloscope Add the magnitude of the wave height