Question

A 9 Ω Resistance is cut into Three Equal Parts and connected in Parallel. Find te Equivalent Resistance of the Combination. Please anyone give the step-by-step solution for the above question. Please. I want it immediately.

Answer 1

When the resistance is cut into three equal parts, then new resistance, i.e. R = 9/3 = 3 Ohm.

As the new arrangement is in parallel,

Therefore, 1/R = 1/R1 + 1/R2 + 1/R3

1/R = 1/3 + 1/3 + 1/3

1/R = 9/3 = 3

Thus, equivalent resistance = 3 ohm.

Answer 2

"Equivalent resistance of the combination is 3 ohm.

Here, we have 9 ohm Resistance that is cut into three equal parts. It means the new resistance of each part will be;

$R^{\prime \prime}\quad =\quad \frac { 9 }{ 3 } \quad =\quad 3\quad \Omega$

In case of parallel arrangement the resultant resistance will be;

$\frac { 1 }{ R } \quad =\quad \frac { 1 }{ R_{ 1 } } \quad +\quad \frac { 1 }{ R_{ 2 } } \quad +\quad \frac { 1 }{ R_{ 3 } }$

Plug the value of each part of resistance to calculate  the resultant resistance;

$\frac { 1 }{ R } \quad =\quad \frac { 1 }{ 3 } \quad +\quad \frac { 1 }{ 3 } \quad +\quad \frac { 1 }{ 3 }$

$\frac { 1 }{ R } \quad =\quad \frac { 9 }{ 3 } \quad =\quad 3$"