Resistance in series and parallel Circuit

Resistance in Series and Parallel Circuit


  1. In a series circuit, the effective resistance is equal to the sum of the individual resistance, as shown in the following equation. 
    R= R 1 + R 2 + R 3
  2. In a parallel circuit, the effective resistance of the resistors can be calculated fro the following equation. 
    R= ( 1 R 1 + 1 R 2 + 1 R 3 ) 1


Example:

Find the equivalent resistance of the connection shown in the diagram above
Answer:
(a)
R=2+3+6=11Ω (b)
R= ( 1 3 + 1 3 + 1 3 ) 1 =1Ω or R=3Ω÷3=1Ω (c)
R= ( 1 6 + 1 6 ) 1 =3Ω R=6Ω÷2=3Ω (d)
R=3+ ( 1 2 + 1 2 ) 1 =4Ω