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Revision	
  notes	
  
Ohm’s	
  Law:	
  	
  


                                                                                                               	
  
                                                V

                                         I            R
                                                                        	
  	
  	
  	
  	
  
Resistors	
  in	
  series	
                                                                    Resistors	
  in	
  parallel	
  
                                                                                                                      R1=10ohm
     R1=10ohm                         R3=30ohm
                                                                                                                                      Same	
  voltage	
  across	
  the	
  resistors	
  
                     R2=20ohm
                                                                                                                      R2=20ohm        but	
  different	
  currents	
  through	
  
    I                                                                                                                                 individual	
  resistors.	
  
                                                                                                                      R3=30ohm
                                                                                                                                      	
  

                            Vs=10V
                                                	
  
Same	
  current	
  through	
  all	
  the	
  resistors	
  but	
                                            I

different	
  voltages	
  across	
  individual	
  
resistors.	
                                                                                                          Vs=10V 	
  
	
                                                                                             	
  
Total	
  resistance	
  RT	
                                                                    Total	
  resistance	
  RT	
  
   RT = R1 + R2 + R3 = 10 + 20 + 30 = 60Ω 	
                                                        1  1 1 1            1 1       1
                                                                                                      = + + = + + = 0.1+ 0.05 + 0.0333 = 0.1833
                         RT                                                                         RT R1 R2 R3 10 20 30
                                                                                                                                                                                             	
  
                                                                                                           1
                                                                                                 ⇒ RT =        = 5.46Ω
                                                                                                        0.1833
                                                                                                                            RT
    I



                              Vs=10V
                                                                           	
                         I



                                                                                                                                 Vs=10V
                                                                                                                                                               	
  
Total	
  Voltage	
                                                                             Total	
  and	
  individual	
  Voltages	
  
No	
  need	
  to	
  calculate.	
  	
  Total	
  voltage	
  	
  =	
  10V	
                       No	
  need	
  to	
  calculate.	
  	
  Voltage	
  across	
  each	
  resistor	
  =	
  10V	
  
	
  
Total	
  and	
  individual	
  Currents	
                                                       Total	
  current	
  
      V 10                                                                                        V        10
   I= S =            = 0.167A 	
                                                               I= S =          = 1.83A 	
  
      RT 60                                                                                       RT 5.46
Individual	
  voltages	
                                                                       Individual	
  currents	
  
                                                                                                              I1      R1=10ohm
     R1=10ohm                            R3=30ohm

                       R2=20ohm
                                             V3                                                               I2 R2=20ohm
          V1
                              V2
    I                                                                                                                                                                     	
  
                                                                                                              I3 R3=30ohm

                               Vs=10V
                                                                 	
                                       I
  V1 = IR1 = 0.167x10 = 1.67V
  V2 = IR2 = 0.167x20 = 3.33V 	
                                                                                       Vs=10V         	
  
  V3 = IR3 = 0.167x30 = 5V                                                                     	
  
	
  
             	
  
             	
  

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Ohm's law, resistors in series or in parallel

  • 1. Revision  notes   Ohm’s  Law:       V I R           Resistors  in  series   Resistors  in  parallel   R1=10ohm R1=10ohm R3=30ohm Same  voltage  across  the  resistors   R2=20ohm R2=20ohm but  different  currents  through   I individual  resistors.   R3=30ohm   Vs=10V   Same  current  through  all  the  resistors  but   I different  voltages  across  individual   resistors.   Vs=10V       Total  resistance  RT   Total  resistance  RT   RT = R1 + R2 + R3 = 10 + 20 + 30 = 60Ω   1 1 1 1 1 1 1 = + + = + + = 0.1+ 0.05 + 0.0333 = 0.1833 RT RT R1 R2 R3 10 20 30   1 ⇒ RT = = 5.46Ω 0.1833 RT I Vs=10V   I Vs=10V   Total  Voltage   Total  and  individual  Voltages   No  need  to  calculate.    Total  voltage    =  10V   No  need  to  calculate.    Voltage  across  each  resistor  =  10V     Total  and  individual  Currents   Total  current   V 10 V 10 I= S = = 0.167A   I= S = = 1.83A   RT 60 RT 5.46 Individual  voltages   Individual  currents   I1 R1=10ohm R1=10ohm R3=30ohm R2=20ohm V3 I2 R2=20ohm V1 V2 I   I3 R3=30ohm Vs=10V   I V1 = IR1 = 0.167x10 = 1.67V V2 = IR2 = 0.167x20 = 3.33V   Vs=10V   V3 = IR3 = 0.167x30 = 5V