Question

John connected three resistors in series. The equivalent resistance of series resistors is the sum of the values of the individual resistors. If John used resistors which were 2.2 × 102 ohms, 3.3 × 103 ohms, and 4.7 × 104 ohms, what was the equivalent resistance? Choice 'A'5.052 × 104 ohmsChoice 'B'50.52 × 103 ohmsChoice 'C'505.2 × 105 ohmsChoice 'D'5.052 × 103 ohms

Answer 1

Given resistors are:

`\begin{gathered} 2.2*10^2ohms \\ 3.3*10^3ohms \\ 4.7*10^4ohms \end{gathered}`

The equivalent resistance is the sum which is obtained below

We can re-write the values given as follow

`2.2*10^2+33*10^2+470*10^2`

=>

`505.2*10^2\text{ohms}`

We can then convert this

We will get

`\begin{gathered} 505.2*10^2\text{ohms=}5.052*10^4ohms=50.52*10^3ohms \\ \end{gathered}`