Learn how to calculate resistance in series and parallel circuits.

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Calculate the total resistance of the network of resistors.

This circuit contains a resistor in series with two resistors, and , which are in parallel.

Start by calculating the combined resistance of the two parallel resistors.

R_{1} =

R_{2} =

R =

R =

The network has been simplified to:

Now calculate the total resistance of the two resistors in series:

R = R_{1} + R _{2}

R =

R =

The total resistance of the network is .

Calculate the total resistance of the network.

The two resistors are in parallel with each other.

The two resistors are in parallel with each other.

The two parallel networks are in series with each other.

First, calculate the total resistance of each parallel network:

R_{1} = | R_{1} = |

R_{2} = | R_{2} = |

R = | R = |

R = | R = |

The network has been simplified to:

Now calculate the total resistance of the two resistors in series.

R = R_{1} + R_{2}

R =

R =

The total resistance of the network is .