Question

Which one of the following circuits has the largest resistance?

Answer 1

Given:

Five different circuits are shown here.

To find:

The circuit with the largest resistance

Explanation:

The resistance in a circuit is,

$R=\frac{V}{I}$

or the first circuit, the resistance is,

$\begin{gathered} R_1=\frac{2}{10} \\ =0.2\text{ ohm} \end{gathered}$

For the second circuit, the resistance is,

$\begin{gathered} R_2=\frac{8}{40} \\ =0.2\text{ ohm} \end{gathered}$

For the third circuit, the resistance is,

$\begin{gathered} R_3=\frac{10}{10} \\ =1\text{ ohm} \end{gathered}$

For the fourth circuit, the resistance is,

$\begin{gathered} R_4=\frac{15}{75} \\ =0.2\text{ ohm} \end{gathered}$

For the fifth circuit, the resistance is,

$\begin{gathered} R_5=\frac{20}{5} \\ =4\text{ ohm} \end{gathered}$

Hence, the fifth circuit has the greatest resistance.