Step 1:** Calculate the total resistance when the resistors are connected in series using the formula:
\[ R_{\text{total}} = R_1 + R_2 + R_3 \]
Given that \( R_1 = 10 \, \Omega \), \( R_2 = 20 \, \Omega \), and \( R_3 = 30 \, \Omega \), we have:
\[
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