Equivalent resistance for resistors in series:

$\overline{){{\mathbf{R}}}_{{\mathbf{eq}}}{\mathbf{=}}{{\mathbf{R}}}_{{\mathbf{1}}}{\mathbf{+}}{{\mathbf{R}}}_{{\mathbf{2}}}{\mathbf{+}}{\mathbf{.}}{\mathbf{.}}{\mathbf{.}}{\mathbf{+}}{{\mathbf{R}}}_{{\mathbf{n}}}}$

Two resistors in Series

Consider the setup shown of two ideal ohmic resistors. (Figure 1).

Resistor 1 has resistance R_{1}, and resistor 2 has resistance R_{2}. They are connected in series with a constant voltage of magnitude V. When the two resistors are connected in this way, they form a system equivalent to a single resistor of resistance R, as shown in the next diagram. (Figure 2).

Part A

What is the effective resistance R of the two-resistor system?

Express the effective resistance in terms of R_{1} and R_{2}.

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