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Difficulty: EasySeries Circuits

In a series-connected aircraft instrument lighting circuit, three resistive elements have values of 15 Ω15\ \Omega, 35 Ω35\ \Omega, and 50 Ω50\ \Omega. What is the total equivalent resistance of the circuit in ohms (Ω\Omega)?

Answer: 100 Ω

Answer

100 ohms (Ω\Omega)
In a series circuit, total resistance is calculated by adding the individual resistance values together (RT=R1+R2+R3R_T = R_1 + R_2 + R_3). Summing 15 Ω15\ \Omega, 35 Ω35\ \Omega, and 50 Ω50\ \Omega gives exactly 100 Ω100\ \Omega.

Step-by-Step Solution

1
Identify the formula for total resistance in a series circuit
RT=R1+R2+R3R_T = R_1 + R_2 + R_3
In a series circuit, there is only one continuous path for current flow, making total opposition to current equal to the sum of all individual resistances.
2
Substitute the individual component values and calculate the sum
RT=15 Ω+35 Ω+50 Ω=100 ΩR_T = 15\ \Omega + 35\ \Omega + 50\ \Omega = 100\ \Omega
Adding the three series resistances yields the overall equivalent resistance.

Key Concept

Total resistance in a series circuit is equal to the direct sum of all individual resistances.
Estimated Time:45s
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Topics

Series Circuits

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