Asked by Jessica Shatteen on May 08, 2024
Verified
A two-branch parallel circuit has a 30 Ω and a 15 Ω resistor. What is the total resistance?
A) 2 Ω
B) 10 Ω
C) 45 Ω
D) 15 Ω
Two-Branch
Refers to a circuit configuration that splits into two distinct paths or branches, often used in parallel circuit analysis.
Parallel Circuit
A circuit in which components are connected across common points or junctions, providing multiple paths for current flow.
Total Resistance
The combined resistance of all components in a series or parallel electrical circuit that affects the flow of electrical current.
- Ascertain the overall resistance for parallel circuits with distinct resistor values.
Verified Answer
ZK
Zybrea KnightMay 10, 2024
Final Answer :
B
Explanation :
The total resistance RtotalR_{total}Rtotal in a parallel circuit is given by 1Rtotal=1R1+1R2\frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2}Rtotal1=R11+R21 . For a 30 Ω and a 15 Ω resistor in parallel, 1Rtotal=130+115=130+230=330\frac{1}{R_{total}} = \frac{1}{30} + \frac{1}{15} = \frac{1}{30} + \frac{2}{30} = \frac{3}{30}Rtotal1=301+151=301+302=303 , so Rtotal=303=10ΩR_{total} = \frac{30}{3} = 10 \OmegaRtotal=330=10Ω .
Learning Objectives
- Ascertain the overall resistance for parallel circuits with distinct resistor values.