Question

two wires of 2 ohms and 3 ohms respectively are connected in parallel. Find their resultant resistance​

Answer 1

Answer:

1/R=1/2+1/3

1/R=(3+2)/6

1/R=5/6

R=6/5=1.2 ohm

Answer 2

1.2

Step-by-step explanation:

Given:

R1 = 2 ohm

R2 = 3 ohm

They are connected in parallel.

To find:

The resultant resistance

Solution:

We know that, when resistance are connected in parallel the resultant resistance is less than the given resistance.

Formula

$\boxed{ \red{\frac{1}{R_1} + \frac{1}{R_2} = \frac{1}{R_r}} } \\ \\ \frac{1}{2} + \frac{1}{3} =\frac{1}{R_r}\\ \\ \frac{3+2}{6}=\frac{1}{R_r} \\ \\ \frac{5}{6} = \frac{1}{R_r} \\ \\ {R_r} = \frac{6}{5} = 1.2 \: \: \:$

Therefore, The required resultant resistance is 1.2 ohm

Extra Information:

Resistance: Resistance is a physical quantity of conductors and semiconductors which interrupts in passing of electricity through the conductor or semiconductor.

Resistance depend directly with length of conductor and indirectly with the area of cross section.