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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

Respuesta :

Given resistors are:

[tex]\begin{gathered} 2.2\times10^2ohms \\ 3.3\times10^3ohms \\ 4.7\times10^4ohms \end{gathered}[/tex]

The equivalent resistance is the sum which is obtained below

We can re-write the values given as follow

[tex]2.2\times10^2+33\times10^2+470\times10^2[/tex]

=>

[tex]505.2\times10^2\text{ohms}[/tex]

We can then convert this

We will get

[tex]\begin{gathered} 505.2\times10^2\text{ohms=}5.052\times10^4ohms=50.52\times10^3ohms \\ \end{gathered}[/tex]

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