Question

Find the equivalent resistance across AB:
(A) 1 ohm
(B) 2 ohm
(C) 3 ohm
(D) 4 ohm
Pls explain how to get the solution

Answer 1

the answer is option c which is 1 ohms....

Answer 2

Answer:

The equivalent resistance of the given circuit = $1\Omega$.

Therefore, option (A) is correct.

Explanation:

Rearranging the circuit we get figure 1,

Equivalent resistance ($R_{net}$) of $2\Omega$ and $2\Omega$ in parallel:

$\frac{1}{R_{net}} =\frac{1}{2} +\frac{1}{2}$

$R_{net}=1\Omega$

So, we get equivalent resistance in figure 2,

Now,

Equivalent resistance ($R_{net$) $1\Omega$ and $1\Omega$ in series:

$R_{net}=1+1=2 \Omega$

We get an equivalent circuit as shown in figure 3,

Again,

Equivalent resistance ($R_{net}$) of $2\Omega$ and $2\Omega$ in parallel:

$\frac{1}{R_{net}} =\frac{1}{2} +\frac{1}{2}$

$R_{net}=1\Omega$

Hence, the equivalent resistance of the given circuit = $1\Omega$.

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