Question

pls solve below. Find equivalent resistance​

Answer 1

Given:

A circuit of 5 resistors is provided.

To find:

Equivalent resistance ?

Calculation:

In these type of complex circuits, first we need to apply potential drops along each resistances. Then , assign them in parallel or series.

(Refer to diagram for the potential drop).

After assigning the potential drops, draw the equivalent circuit.

• You will observe that the simple circuit is actually a BALANCED WHEATSTONE BRIDGE.

• So, the 20 ohm resistance will be neglected.

Equivalent resistance calculation:

• In upper branch : R1 = 10 + 10 = 20 ohm

• In lower branch : R2 = 10 + 10 = 20 ohm

$\therefore \: \dfrac{1}{R_{net}} = \dfrac{1}{R_{1}} + \dfrac{1}{R_{2}}$

$\implies \: \dfrac{1}{R_{net}} = \dfrac{1}{20} + \dfrac{1}{20}$

$\implies \: \dfrac{1}{R_{net}} = \dfrac{2}{20}$

$\implies \: \dfrac{1}{R_{net}} = \dfrac{1}{10}$

$\implies \: R_{net} = 10 \: ohm$

So, equivalent resistance is 10 ohm.