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Question:

# A parallel combination of two resistors is connected in series with a 4 ohm resistor. If the total effective resistance by these three resistors is 10 ohms then which of the following can be the values of two resistors in parallel connection?

A One resistor is of 8 ohms and the other is of 24 ohms.
explanation

The resistances are added in series. The effective resistance offered by a combination of two resistors in series with a 4 ohms resistor is 10 ohms which means that the equivalent resistance of two resistances in parallel connection must be 6 ohms. Suppose one resistor is "a" ohms and the other resistor is "b" resistors then the equivalent resistance will be $\frac{\mathrm{ab} }{\mathrm{(a+b)} } = 6$ . Therefore, 8 ohms and 24 ohms resistors will be the correct answer.

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3 years ago

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