Question

The least resistance that can be obtained by combining resistance of $6\Omega ,\;3\Omega ,\;and\;X\Omega \;is\;1\Omega$. Then X is
(A) $3\Omega$
(B) $2\Omega$
(C) $4\Omega$
(D) $6\Omega$

Answer 1

Hint We should know that a resistance is defined as the force that works on the opposite direction of the motion of a body and results in the prevention or rather slow down the motion of the body. Using this concept we can solve this question.

Complete step by step answer
We have to answer this question on the basis of the examination made to the values which are mentioned in the question.
We know that the equivalent resistance is defined as the maximum resistance when all are in series and also the equivalent resistance is the minimum resistance when all the resistance are in parallel.
We know that the maximum resistance is 9 and the minimum resistance is 1 respectively.
Hence we can say that all the resistors are of the same resistance R = $2\Omega$.
So, we can conclude that :
The least resistance that can be obtained by combining resistance of $6\Omega ,\;3\Omega ,\;and\;X\Omega \;is\;1\Omega$
where the value of X is found out by us as :
X = $2\Omega$.

So, the correct answer is option B.

Note It should be known to us that in the parallel connection are connected along the multiple paths so that the current can split up. But the same voltage is applied in each of the components. A circuit which is solely composed of components connected in series is known as the series circuit.