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Electricity
Energy and Power
Aims of the lesson
• State the definition of electrical energy and
  power
• Understand how to derive the ‘energy’ and
  ‘power’ equations from previous electrical
  equations
• Use these equations to solve simple
  problems




                                             2
Notes in the text book
• Page 131 - 134
What is the purpose of electricity?
An electric current is a convenient way of
 transmitting energy from one place to another
The energy is provided by the battery (the
 source)
The charged electrons carry the energy and are
 ‘pushed’ by the potential difference of the
 battery
The energy the electrons carry is transferred by a
 component (light in a bulb)
Electrical Energy
One joule of energy is required to transfer one
 coulomb of charge between two points having a
 potential difference of one volt

        Energy = Voltage x Charge
              E=VxQ

    joules = volts x coulombs
Electrical Energy
One coulomb is the amount of charge required to pass a
 current of one ampere past a point in one second


                 Q     =     I     x    t

Substitute the value of Q into the energy equation-
     Electrical Energy = Voltage x Current x Time
                  E    =       Q
                           VxIxt
            joule = volts x amperes x seconds

Or               E     =     ItV   (the TV channel)
Electrical Energy
Example Question
A current of 4 A flows through the element of a
  radiator working on a 250 V supply for half an
  hour. How much heat energy is produced?

 Energy transferred = I x t x V
                   = 4 x (30 x 60) x 250
                   = 1 800 000 J
                   = 1800 kJ or 1.8 MJ
Electrical Power
Power is the rate of energy transfer for an
 appliance
          Power = Energy / Time
               =IxtxV/t
               =IxV
    Power = Current x Voltage
          P   =    I   x    V
          Watts = Ampere x Volt

     Pg 132 Q 28 - 31
More EQUATIONS                             V
Remember Ohm’s Law? V = I x R          R I
 The Power equation can be re-written using
 resistance
Substitute in-   V    =    IxR
So               P    =    I xV (I
                           I2 X R X R)

And re-arrange Ohm’s Law for Current
                  I    =    V/R
So                     =    I
                  P = (V / R) 2 / V
                            VX R
                                       Robinho, the
                                       substitute of
                                        substitutes
Example
A large battery is connected to a resistor of
  resistance 1000 ohms. The potential difference
  across the resistor is 50 V. What is the power
  dissipated by the resistor?

         P    =    V2 / R
              =    502 / 1000
              =    2500 / 1000
              =    2.5 W

         Page 134 Q 32 - 35
The Electric Equation Eels




                             14
Electricity Energy
Electricity Energy
Electricity Energy
Electricity Energy

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Electricity Energy

  • 2. Aims of the lesson • State the definition of electrical energy and power • Understand how to derive the ‘energy’ and ‘power’ equations from previous electrical equations • Use these equations to solve simple problems 2
  • 3. Notes in the text book • Page 131 - 134
  • 4. What is the purpose of electricity? An electric current is a convenient way of transmitting energy from one place to another The energy is provided by the battery (the source) The charged electrons carry the energy and are ‘pushed’ by the potential difference of the battery The energy the electrons carry is transferred by a component (light in a bulb)
  • 5.
  • 6. Electrical Energy One joule of energy is required to transfer one coulomb of charge between two points having a potential difference of one volt Energy = Voltage x Charge E=VxQ joules = volts x coulombs
  • 7.
  • 8. Electrical Energy One coulomb is the amount of charge required to pass a current of one ampere past a point in one second Q = I x t Substitute the value of Q into the energy equation- Electrical Energy = Voltage x Current x Time E = Q VxIxt joule = volts x amperes x seconds Or E = ItV (the TV channel)
  • 9. Electrical Energy Example Question A current of 4 A flows through the element of a radiator working on a 250 V supply for half an hour. How much heat energy is produced? Energy transferred = I x t x V = 4 x (30 x 60) x 250 = 1 800 000 J = 1800 kJ or 1.8 MJ
  • 10. Electrical Power Power is the rate of energy transfer for an appliance Power = Energy / Time =IxtxV/t =IxV Power = Current x Voltage P = I x V Watts = Ampere x Volt Pg 132 Q 28 - 31
  • 11.
  • 12. More EQUATIONS V Remember Ohm’s Law? V = I x R R I The Power equation can be re-written using resistance Substitute in- V = IxR So P = I xV (I I2 X R X R) And re-arrange Ohm’s Law for Current I = V/R So = I P = (V / R) 2 / V VX R Robinho, the substitute of substitutes
  • 13. Example A large battery is connected to a resistor of resistance 1000 ohms. The potential difference across the resistor is 50 V. What is the power dissipated by the resistor? P = V2 / R = 502 / 1000 = 2500 / 1000 = 2.5 W Page 134 Q 32 - 35

Editor's Notes

  1. SEP power demo using energy meter. 1.5 V, 2.5 V and 6 V bulbs show significant difference between power readings
  2. Add to each eel - words of the variables/terms, their associated units and a bit of colour! (Fast finishers - around the specific eel include the definitions of each variable; charge, current, voltage, resistance, power and energy.) Theme tune for this activity - MGMT ‘Electric feel’
  3. Charge Eel
  4. Resistance Eel
  5. Power Eel
  6. Energy Eel