If n identical resistance, each of resistance R, are connected in parallel, the equivalent resistance is:

Resistances in parallel combination: When two or more resistances are connected across different branches such that the potential drop across them are the same, they are said to be in parallel connection.

The net resistance/equivalent resistance (R) of resistances in parallel is given by:

Equivalent resistance (R): \(\frac{1}{R} = \frac{1}{{{R_1}}} + \frac{1}{{{R_2}}}\)

EXPLANATION:

If n resistance connected in parallel the,

\(\frac{1}{R_{eq}}=\frac{1}{R}+\frac{1}{R}+\frac{1}{R}+.......\frac{1}{R}=\frac{n}{R}\)

Hence,

R_eq = \(\frac{R}{n}\)