#### Question

State the law of combination of resistances in parallel.

#### Solution

In a parallel combination, the voltage remains the same across each resistor but the current gets divided. Let *I*_{1}_{,} *I*_{2} and *I*_{3} be the current across resistors *R*_{1}_{, }*R*_{2} and *R*_{3}, respectively.

`l=l_1+l_2+l_3`

`V=LR,V=L_1R_1,L_2R_2, V=L_3R_3`

`I=v/R,I_1 V/R_1, I_2=V/R_2,L_3 V/R_1`

Using thrsr value, We get:

`V/R=V/R_1+V/R_2+V/R^1`

`1/R=1/R_1+1/R_2+1/R_1`

So, the total resistance is the sum of the reciprocal of the individual resistances.

Is there an error in this question or solution?

Solution State the Law of Combination of Resistances in Parallel. Concept: Resistance of a System of Resistors - Resistors in Parallel.