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Question
A student has three resistors, each of resistance R. To obtain a resistance of `2/3` R, she should connect ______.
Options
all the three resistors in series.
all the three resistors in parallel.
two resistors in series and then this combination in parallel with thethird resistor.
two resistors in parallel and then this combination in series with thethird resistor.
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Solution
A student has three resistors, each of resistance R. To obtain a resistance of `2/3` R, she should connect two resistors in series and then this combination in parallel with thethird resistor.
Explanation:
By connecting two resistors in series, resulting in a total resistance of 2R, and then placing this configuration in parallel with a third resistor of resistance R, the resultant net resistance is `(2 R)/3`, which is the desired resistance.
