uswnttobinheath7687 uswnttobinheath7687
  • 03-08-2018
  • Physics
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Three resistors of value 4 ω, 10 ω and 7 ω are placed in parallel. they are connected to a 6 ω resistor in series. what is the equivalent resistance in the circuit?

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aristocles aristocles
  • 08-08-2018

resistance of 4 ohm, 10 ohm and 7 ohm is connected in parallel.

so net resistance in parallel is given by

[tex]\frac{1}{R} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}[/tex]

[tex]\frac{1}{R} = \frac{1}{4} + \frac{1}{10} + \frac{1}{7}[/tex]

[tex]R = \frac{140}{69} ohm[/tex]

now it is connected to 6 ohm resistance in series

so net resistance is given by

[tex]R_{net} = R_1 + R_2[/tex]

[tex]R_{net} = 6 ohm + \frac{140}{69} ohm[/tex]

[tex]R_{net} = 8.03 ohm[/tex]

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