Three resistance of 4 ohms, 5 ohm
and 20 ohm are connected in
parallel. How much is the effective resistance ?
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GIVEN:
Three resistances of 4Ω, 5Ω and 20Ω. All of them are set in the parallel combination.
TO FIND:
Total or Effective Resistance (Rp)
SOLUTION:
R1 = 4Ω
R2 = 5Ω
R3 = 20Ω
We know that, in a parallel combination,
1/Rp = 1/R1 + 1/R2 + 1/R3
==> 1/Rp = 1/4 + 1/5 + 1/20
==> 1/Rp = 5/20 + 4/20 + 1/20 [LCM = 20]
==> 1/Rp = (5 + 4 + 1)/20
==> 1/Rp = 10/20
==> 1/Rp = 1/2
Cross-Multiplying,
==> Rp = 2
∴ The effective resistance is 2Ω
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