| Series Connection | Parallel Connection |
| $(1)$ Resistors are connected end-to-end such that the same electric current flows through each resistor. | $(1)$ Resistors are connected between the same two points such that the potential difference across each resistor is the same. |
| $(2)$ The potential difference across each resistor is different. | $(2)$ The electric current flowing through each resistor is different. |
| $(3)$ The equivalent resistance is given by $R_{eq} = R_{1} + R_{2} + \dots + R_{n}$. | $(3)$ The equivalent resistance is given by $\frac{1}{R_{eq}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + \dots + \frac{1}{R_{n}}$. |
| $(4)$ The equivalent resistance is greater than the largest individual resistance in the circuit. | $(4)$ The equivalent resistance is smaller than the smallest individual resistance in the circuit. |
| $(5)$ If one resistor fails, the entire circuit breaks. | $(5)$ If one resistor fails, the other branches continue to function. |
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