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Chapter 22 & 23
Electricity & Circuits
Ohm’s Law
   Ohm’s Law - The resistance does not
    depend on the voltage or the current flowing
    through the circuit.

    ∆V = I R

   ∆V   = Potential difference or Voltage drop = V, volts
   I    = Current = A, amps
   R    = Resistance = Ω, ohms
Charge in circuits
q   = It

 Coulomb    =C=As      or A = C/s

 Elementary   charge 1.6 X 10-19 C
Power
   Power is the rate of doing work. Power is the
    rate at which energy is transferred. It is
    measured in Watts.

   P= ∆E               P      = Power = W = J/s
        t

   P = I ∆V

   P = I2 R       P = (∆V)2
                         R
Measurements
   Ohmeter measures resistance in ohms (Ω)
    – Hook up in parallel outside circuit

   Voltmeter measures voltage in volts (V)
    – Hook up in parallel with circuit running

   Ammeter measures current in amps (A)
    – Hook up in series. Remove a wire in the circuit
      and place ammeter in its place.
Series and Parallel Circuits
Series Circuit – one current path

   The Equivalent Resistance is greater than the
    largest resistor
   RT = R1 + R2 + ...
   The current is the same in each element since
    there is only one current path
   IT = I1 = I2 = ...
   The total voltage is the sum of the individual
    voltages and should equal the voltage of the
    battery
   ∆VT = ∆V1+ ∆V2+...
Parallel Circuit –
          more than one path
 The Equivalent Resistance is less than the
  smallest resistor
 1/RT = 1/R1 + 1/R2 + …

 The total current is the sum of the
  individual currents
 IT = I1 + I2 + ...

 The voltage drop is the same across each
  resistor because they each have a path
  from the battery
 ∆VT = ∆V1 = ∆V2 = ...
Adding a Resistor to a Circuit
 Add  a resistor in series
 1) total resistance increases

 2) therefore, current must go down



 Add  a resistor in parallel
 1) total resistance decreases

 2) therefore, current must go up
Solving Series and Parallel Circuits
 Calculate the total resistance. Calculate
  each parallel branch resistance then add the
  remaining series branches. Make simplified
  equivalent circuit drawings in order to solve
  the circuits.
 Calculate the total current
 Use the total current as the current to the
  series part of the circuit to calculate its
  voltage drop.
 Calculate the parallel voltage drop by
  subtracting the series drop from the total
  voltage drop.
 Use a chart to track what is
  known/unknown.

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Physics chapter 22 & 23

  • 1. Chapter 22 & 23 Electricity & Circuits
  • 2.
  • 3. Ohm’s Law  Ohm’s Law - The resistance does not depend on the voltage or the current flowing through the circuit.  ∆V = I R  ∆V = Potential difference or Voltage drop = V, volts  I = Current = A, amps  R = Resistance = Ω, ohms
  • 4. Charge in circuits q = It  Coulomb =C=As or A = C/s  Elementary charge 1.6 X 10-19 C
  • 5. Power  Power is the rate of doing work. Power is the rate at which energy is transferred. It is measured in Watts.  P= ∆E P = Power = W = J/s t  P = I ∆V  P = I2 R P = (∆V)2 R
  • 6. Measurements  Ohmeter measures resistance in ohms (Ω) – Hook up in parallel outside circuit  Voltmeter measures voltage in volts (V) – Hook up in parallel with circuit running  Ammeter measures current in amps (A) – Hook up in series. Remove a wire in the circuit and place ammeter in its place.
  • 8. Series Circuit – one current path  The Equivalent Resistance is greater than the largest resistor  RT = R1 + R2 + ...  The current is the same in each element since there is only one current path  IT = I1 = I2 = ...  The total voltage is the sum of the individual voltages and should equal the voltage of the battery  ∆VT = ∆V1+ ∆V2+...
  • 9. Parallel Circuit – more than one path  The Equivalent Resistance is less than the smallest resistor  1/RT = 1/R1 + 1/R2 + …  The total current is the sum of the individual currents  IT = I1 + I2 + ...  The voltage drop is the same across each resistor because they each have a path from the battery  ∆VT = ∆V1 = ∆V2 = ...
  • 10. Adding a Resistor to a Circuit  Add a resistor in series  1) total resistance increases  2) therefore, current must go down  Add a resistor in parallel  1) total resistance decreases  2) therefore, current must go up
  • 11. Solving Series and Parallel Circuits  Calculate the total resistance. Calculate each parallel branch resistance then add the remaining series branches. Make simplified equivalent circuit drawings in order to solve the circuits.  Calculate the total current  Use the total current as the current to the series part of the circuit to calculate its voltage drop.  Calculate the parallel voltage drop by subtracting the series drop from the total voltage drop.  Use a chart to track what is known/unknown.

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