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What is the equivalent resistance of the following combination circuit? A 5.00 Ω resistance placed in series with a parallel combination of 9.00 Ω and 6.00 Ω ?

What Is The Equivalent Resistance Of The Following Combination Circuit A 500 Ω Resistance Placed In Series With A Parallel Combination Of 900 Ω And 600 Ω class=

Sagot :

The equivalent resistance of the circuit is 8.6 Ω.

What is resistance?

Resistance can be defined as the opposition to current flow in an electric circuit. The S.I unit of resistance is ohms.

To calculate the equivalent resistance, we use the formula below.

Formula:

  • R' = R₁+(R₂//R₃)................ Equation 1

Where:

  • R' = Equivalent resistance of the circuit.

From the diagram,

Given:

  • R₁ = 5 .00 Ω
  • R₂ = 9.00 Ω
  • R₃ = 6.00 Ω

Substitute these values into equation 1

  • R' = 5+(9//6)
  • R' = 5+[(9×6)/(9+6)]
  • R' = 5+[54/15]
  • R' = 5+3.6
  • R' = 8.6 Ω

Hence, The equivalent resistance of the circuit is 8.6 Ω
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