tech a says that in a series circuit with two resistors of 120 ohms each, the total circuit resistance is…

tech a says that in a series circuit with two resistors of 120 ohms each, the total circuit resistance is 240 ohms. tech b says that in a parallel circuit with two resistors of 120 ohms each, the total circuit resistance is 240 ohms. who is correct? select one: a. technician a b. technician b c. both technicians a and b d. neither technician a nor b
Answer
Answer:
a. Technician A
Explanation:
Step1: Calculate series resistance
For series circuit, (R_{total}=R_1 + R_2). Given (R_1 = R_2=120\ \Omega), then (R_{total}=120 + 120=240\ \Omega). So Tech A is correct.
Step2: Calculate parallel resistance
For parallel circuit, (\frac{1}{R_{total}}=\frac{1}{R_1}+\frac{1}{R_2}). Substituting (R_1 = R_2 = 120\ \Omega), we get (\frac{1}{R_{total}}=\frac{1}{120}+\frac{1}{120}=\frac{2}{120}=\frac{1}{60}), so (R_{total} = 60\ \Omega). Tech B is wrong.