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Two Resistances When Connected in Parallel Give Resultant Value of 2 Ohm; When Connected in Series the Value Becomes 9 Ohm. Calculate the Value of Each Resistance. - Science

Two resistances when connected in parallel give resultant value of 2 ohm; when connected in series the value becomes 9 ohm. Calculate the value of each resistance.

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Let the resistances of the two resistors be x and y.
When they are connected in parallel, we have:
1 / x + 1 / y = 1 / 2       ... (1)
When they are connected in series, we have:
x + y = 9                      ... (2)
On solving equations (1) and (2), we will obtain the values of the two resistors as 3 Ω and 6 Ω.

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Lakhmir Singh Class 10 Physics (Science)
Chapter 1 Electricity
Q 44
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