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# Ohm's law, resistors in series or in parallel

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Revision and summary.

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### Ohm's law, resistors in series or in parallel

1. 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   Idifferent  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 5.46Individual  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