Question

Three resistors of 2 ohm 3
ohm and 6ohm are give what is the least resistance that you can get using all of them

Answer 1

GiveN :

• Three resistors are given with magnitude as $\sf{2 \Omega \: , \: 3 \Omega \: and \: 6 \Omega}$ respectively.

To FinD :

• Least value of the three resistances.

SolutioN :

For the maximum value of the resistances we've to connect all of them in the $\tt{\green{Series \: combination}}$ , where as for calculating the minimum value of the resistance we've to connect then in $\tt{\green{Parallel \: combination}}$ .

Let,

• $\rm{R_1 = 2 \Omega}$
• $\rm{R_2 = 3 \Omega}$
• $\rm{R_3 = 6 \Omega}$

Add them in parallel for getting minimum value :

$\implies \rm{\dfrac{1}{R_{eq}} = \dfrac{1}{R_1} + \dfrac{1}{R_2} + \dfrac{1}{R_3}} \\ \\ \\ \implies \rm{\dfrac{1}{R_{eq}} = \dfrac{1}{2} + \dfrac{1}{3} + \dfrac{1}{6}} \\ \\ \\ \implies \rm{\dfrac{1}{R_{eq}} = \dfrac{3 + 2 + 1}{6}} \\ \\ \\ \implies \rm{\dfrac{1}{R_{eq}} = \dfrac{6}{6}} \\ \\ \\ \implies \rm{\dfrac{1}{R_{eq}} = 1} \\ \\ \\ \large \implies {\boxed{\rm{R_{eq} = 1 \Omega}}}$

Answer 2

Answer:

Here we have given three resistors having some value of resistance and we have to find the value of least resistance.

_______________

So, in this type of problems we find equivalent resistance in parallel combination.

In other case if we have to find maximum resistance then we have to find Equivalent resistance in series combination.

Hope it helps!