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

Step-by-step explanation:

The resistance in a circuit is,

`R=(V)/(I)`

or the first circuit, the resistance is,

`\begin{gathered} R_1=(2)/(10) \\ =0.2\text{ ohm} \end{gathered}`

For the second circuit, the resistance is,

`\begin{gathered} R_2=(8)/(40) \\ =0.2\text{ ohm} \end{gathered}`

For the third circuit, the resistance is,

`\begin{gathered} R_3=(10)/(10) \\ =1\text{ ohm} \end{gathered}`

For the fourth circuit, the resistance is,

`\begin{gathered} R_4=(15)/(75) \\ =0.2\text{ ohm} \end{gathered}`

For the fifth circuit, the resistance is,

`\begin{gathered} R_5=(20)/(5) \\ =4\text{ ohm} \end{gathered}`

Hence, the fifth circuit has the greatest resistance.