3 ohm 5 ohm and 8 ohm resistance are connected in parallel what is the combined resistance
Answers
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Components connected in parallel are connected so the same voltage is applied to each component. In a parallel circuit, the voltage across each of the components is the same, and the total current is the sum of the currents through each component. In this case, it is a parallel, the voltage across each component will remain the same as 15 V.
Hence, the potential drop across the 6 ohms resistor is 15 V.
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Answer :
- The total resistance in the circuit,Rₑ 1.5 Ω.
Explanation :
Given :
- Resistance in the resistor, R₁ = 3 Ω
- Resistance in the resistor, R₂ = 5 Ω
- Resistance in the resistor, R₃ = 8 Ω
To find :
- The equivalent resistance in the circuit, Rₑ = ?
Knowledge required :
- Formula for total resistance in a parallel circuit :
⠀⠀⠀⠀⠀⠀⠀⠀⠀1/Rₑ = 1/R₁ + 1/R₂ + 1/R₃ + ....⠀
[Where, Rₑ, R are the total resistance in the circuit and the resistance in the circuit]
Solution :
By using the formula for total resistance in a parallel circuit and substituting the values in it, we get :
⠀⠀=> 1/Rₑ = 1/R₁ + 1/R₂ + 1/R₃
⠀⠀=> 1/Rₑ = 1/3 + 1/5 + 1/8
⠀⠀=> 1/Rₑ = (40 + 24 + 15)/120
⠀⠀=> 1/Rₑ = 79/120
⠀⠀=> Rₑ = 120/79
⠀⠀=> Rₑ = 1.5 (approx.)
⠀⠀⠀⠀∴ Rₑ = 1.5 Ω
Therefore,
- The total resistance in the circuit is 1.5 Ω.