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Revision notes Ohm’s Law: Resistors in series Same current through all the resistors but different voltages across individual resistors. Resistors in parallel Total resistance RT R T = R 1 + R 2 + R 3 = 10 + 20 + 30 = 60Ω Total resistance RT 1 R T = 1 R 1 + 1 R 2 + 1 R 3 = 1 10 + 1 20 + 1 30 = 0.1 + 0.05 + 0.0333 = 0.1833 R T = 1 0.1833 = 5.46Ω Total Voltage No need to calculate. Total voltage = 10V Total and individual Voltages No need to calculate. Voltage across each resistor = 10V Total and individual Currents I = V S R T = 10 60 = 0.167 A Total current I = V S R T = 10 5.46 = 1.83A Individual voltages V 1 = IR 1 = 0.167 x 10 = 1.67 V V 2 = IR 2 = 0.167 x 20 = 3.33 V V 3 = IR 3 = 0.167 x30 = 5 V Individual currents V V I I R R Vs=10V Vs=10V R1=10ohm R1=10ohm R2=20ohm R2=20ohm R3=30ohm R3=30ohm I I R1=10ohm R1=10ohm R2=20ohm R2=20ohm R3=30ohm R3=30ohm Vs=10V Vs=10V I I Vs=10V Vs=10V I I R R T T Vs=10V Vs=10V I I R R T T Vs=10V Vs=10V R1=10ohm R1=10ohm R2=20ohm R2=20ohm R3=30ohm R3=30ohm I I V1 V1 V2 V2 V3 V3 R1=10ohm R1=10ohm R2=20ohm R2=20ohm R3=30ohm R3=30ohm Vs=10V Vs=10V I I I1 I1 I2 I2 I3 I3 Same voltage across the resistors but different currents through individual resistors.

Ohm's law, resistors in series or in parallel

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Page 1: Ohm's law, resistors in series or in parallel

Revision  notes  Ohm’s  Law:    

         Resistors  in  series  

 Same  current  through  all  the  resistors  but  different  voltages  across  individual  resistors.    

Resistors  in  parallel  

   

Total  resistance  RT  RT = R1 + R2 + R3 =10+ 20+30 = 60Ω  

 

Total  resistance  RT  1RT

=1R1+1R2+1R3=110

+120

+130

= 0.1+ 0.05+ 0.0333= 0.1833

⇒ RT =1

0.1833= 5.46Ω

 

 Total  Voltage  No  need  to  calculate.    Total  voltage    =  10V    

Total  and  individual  Voltages  No  need  to  calculate.    Voltage  across  each  resistor  =  10V  

Total  and  individual  Currents  

I = VSRT

=1060

= 0.167A  

Total  current  

I = VSRT

=105.46

=1.83A  

Individual  voltages  

 V1 = IR1 = 0.167x10 =1.67VV2 = IR2 = 0.167x20 = 3.33VV3 = IR3 = 0.167x30 = 5V

 

 

Individual  currents  

   

   

VV

II RR

Vs=10VVs=10V

R1=10ohmR1=10ohm

R2=20ohmR2=20ohm

R3=30ohmR3=30ohm

II

R1=10ohmR1=10ohm

R2=20ohmR2=20ohm

R3=30ohmR3=30ohm

Vs=10VVs=10V

II

Vs=10VVs=10V

II

RRTT

Vs=10VVs=10V

II

RRTT

Vs=10VVs=10V

R1=10ohmR1=10ohm

R2=20ohmR2=20ohm

R3=30ohmR3=30ohm

II

V1V1 V2V2V3V3

R1=10ohmR1=10ohm

R2=20ohmR2=20ohm

R3=30ohmR3=30ohm

Vs=10VVs=10V

II

I1I1

I2I2

I3I3

 

Same  voltage  across  the  resistors  but  different  currents  through  individual  resistors.