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}.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Combining Resistors in Series & Parallel concept. You can view video lessons to learn Combining Resistors in Series & Parallel. Or if you need more Combining Resistors in Series & Parallel practice, you can also practice Combining Resistors in Series & Parallel practice problems.