Physics - Current Electricity Question with Solution | TestHub

Resistance of each part will be equally divided. So, the resistance of each part of the wire can be expressed as $\frac{R}{5}$. The formula to calculate the equivalent resistance of the combination of resistors is given by

$\frac{1}{R_{eq}}={\sum }_{i=1}^5\frac{1}{R_i}...\left(1\right)$From equation (1), it follows that

$$\begin{gathered} \frac{1}{R_{eq}}=\frac{5}{R}+\frac{5}{R}+\frac{5}{R}+\frac{5}{R}+\frac{5}{R} \\ =\frac{25}{R} \\ \Rightarrow R_{eq}=\frac{R}{25} \end{gathered}$$