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Difficulty: EasySeries Circuits

In a direct current (DC) electronic device, two resistors with values of 30 Ω30\ \Omega and 60 Ω60\ \Omega are connected in series. What is the total equivalent resistance of this circuit?

  1. 90 Ω90\ \OmegaAnswer
  2. B
    20 Ω20\ \Omega
  3. C
    30 Ω30\ \Omega
  4. D
    1800 Ω1800\ \Omega

Answer

90 Ω90\ \Omega
The total resistance of a series circuit is the sum of the individual component resistances (RT=R1+R2R_T = R_1 + R_2). Adding 30 Ω30\ \Omega and 60 Ω60\ \Omega gives 90 Ω90\ \Omega.

Step-by-Step Solution

1
Identify the formula for total resistance in a series circuit.
RT=R1+R2R_T = R_1 + R_2
In a series circuit, current flows through each resistor sequentially, meaning total opposition to current is the sum of all individual resistances.
2
Substitute the given resistor values into the series formula.
RT=30 Ω+60 Ω=90 ΩR_T = 30\ \Omega + 60\ \Omega = 90\ \Omega
Adding the individual resistor values produces the total equivalent resistance.

Key Concept

Total resistance in a series circuit equals the sum of all individual resistances (RT=R1+R2+⋯+RnR_T = R_1 + R_2 + \dots + R_n).
Estimated Time:30s
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Topics

Series Circuits

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