Question

A student has three resistors, each of resistance R. To obtain a resistance of `2/3` R, she should connect ______.

पर्याय

• 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.

Answer 1

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.