Question

how will you connect three resistors of 9 ohm each so that you can get an equivalent resistance of 13.5 ohm

Answer 1

Answer:

Given:

3 resistors of 9 ohm have been provided.

To find:

Arrangement such that equivalent resistance is 13.5 ohm

Concept:

First connect two 9 ohm resistors in parallel. And then connect the third resistor in series with the combination.

Calculation:

When the resistances are connected in parallel

$\frac{1}{r \: eq.} = \frac{1}{r1} + \frac{1}{r2}$

$= > \frac{1}{r \: eq.} = \frac{1}{9} + \frac{1}{9}$

$= > r \: eq. = 4.5 \: ohm$

Now the 3rd resistance is connected in series :

$r \: eq " = 4.5 + 9 = 13.5 \: ohm$

Diagram:

Now look at the above photo to understand better.

Answer 2

Answer:

in series...not in parallel