how can three resistance of 2,3 and 6 ohms be connected so as to give

1.	how can three resistance of 2,3 and 6 ohms be connected so as to give a total resistance of 1 ohm? show the working of your solution
Answer» ANSWER : Parallel COMBINATION. SolutioN : Let's, R1 = 2Ω. R2 = 3Ω. R3 = 6Ω. Now, ♢ Let's try to CONNECT all THREE RESISTANCE in Parallel Combination : $\tt \dagger \: \: \: \: \: \dfrac{1}{R_p}= \dfrac{1}{R_1} + \dfrac{1}{R_2} + \dfrac{1}{R_3} ... \dfrac{1}{R_n}$ $\tt \dashrightarrow \: \: \dfrac{1}{R_p}= \dfrac{1}{2} + \dfrac{1}{3} + \dfrac{1}{6}$ $\tt \dashrightarrow \: \: \dfrac{1}{R_p}= \dfrac{3 + 2 + 1}{6}$ $\tt \dashrightarrow \: \: \dfrac{1}{R_p}= \dfrac{ \cancel6}{ \cancel6}$ $\tt \dashrightarrow \: \: \dfrac{1}{R_p}= 1\Omega.$ $\dashrightarrow \: \: \: \: \: \boxed{ \tt R_p= 1\Omega. }$ ☛ Diagram : ----------------\| 2Ω \|----------------- ----------------\| 3Ω \|----------------- ----------------\| 6Ω \|----------------- Therefore, the net resistance 1Ω which you get when we connect R1, R2 and R3 in Parallel Combination.

how can three resistance of 2,3 and 6 ohms be connected so as to give a total resistance of 1 ohm? show the working of your solution

Answer»

Let's,

Now,

♢ Let's try to CONNECT all THREE RESISTANCE in Parallel Combination :

$\tt \dagger \: \: \: \: \: \dfrac{1}{R_p}= \dfrac{1}{R_1} + \dfrac{1}{R_2} + \dfrac{1}{R_3} ... \dfrac{1}{R_n}$

$\tt \dashrightarrow \: \: \dfrac{1}{R_p}= \dfrac{1}{2} + \dfrac{1}{3} + \dfrac{1}{6}$

$\tt \dashrightarrow \: \: \dfrac{1}{R_p}= \dfrac{3 + 2 + 1}{6}$

$\tt \dashrightarrow \: \: \dfrac{1}{R_p}= \dfrac{ \cancel6}{ \cancel6}$

$\tt \dashrightarrow \: \: \dfrac{1}{R_p}= 1\Omega.$

$\dashrightarrow \: \: \: \: \: \boxed{ \tt R_p= 1\Omega. }$

----------------| 2Ω |-----------------

----------------| 3Ω |-----------------

----------------| 6Ω |-----------------