Question

net resistance between X and y is​

Answer 1

ans is 3)15 ohm

I hope that it is helpful for you

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Answer 2

Concept:

Resistance can be defined as a measure of the opposition to current flow in an electrical circuit.

Given:

An electric circuit with resistances in parallel and series.

Find:

The net resistance between X and Y.

Solution:

Consider the electrical circuit,

First, the two resistances $10\Omega$ and $30\Omega$ is shortcircuited.

The three resistance $30\Omega,30\Omega,30\Omega$ are in parallel.

So the equivalent resistance,

$\frac{1}{R_1}=\frac{1}{30} +\frac{1}{30} +\frac{1}{30}$

$R_1=10\Omega$

Now, the resistances $R_1$ and $20\Omega$ are in series.

Therefore, the equivalent resistance:

$R_2=R_1+20\Omega\\R_2=30\Omega$.

Now, another two resistances $10\Omega,20\Omega$ are in series.

So, the equivalent resistance:

$R_3=10\Omega+20\Omega\\R_3=30\Omega$

The resistance $R_2$ and $R_3$ are in parallel.

So, the equivalent resistance of the circuit between X and Y is:

$\frac{1}{R_{eq}}=\frac{1}{30}+\frac{1}{30}$

$R_{eq}=15\Omega$

The net resistance between X and Y is $15\Omega$.

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