Resistances In Series

Question

Three resistors of 2 Ω, 3 Ω, and 5 Ω are connected in series. What is the equivalent resistance?

RankGuru · Accepted Answer

1. **Series Combination Rule**: In a series circuit, the same current flows through all components, and the individual resistances add up directly.
   - Formula: $R_{eq} = R_1 + R_2 + R_3 + \dots$
2. **Substitution**:
   - $R_{eq} = 2 	ext{ } \Omega + 3 	ext{ } \Omega + 5 	ext{ } \Omega$.
3. **Result**:
   - $R_{eq} = 10 	ext{ } \Omega$.
4. **Important Note**: In series, the total resistance is always greater than the largest individual resistor in the group.

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Resistances In Series

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