if circuit a has a total resistance of 5.9 ω, which of the following could possibly be the total resistance…

if circuit a has a total resistance of 5.9 ω, which of the following could possibly be the total resistance of circuit b, assuming that all batteries and bulbs in the circuits are identical?\nchoice a: 5.9 ω\nchoice b: 0.62 ω\nchoice c: 12.7 ω\nchoice d: not enough information to predict

if circuit a has a total resistance of 5.9 ω, which of the following could possibly be the total resistance of circuit b, assuming that all batteries and bulbs in the circuits are identical?\nchoice a: 5.9 ω\nchoice b: 0.62 ω\nchoice c: 12.7 ω\nchoice d: not enough information to predict

Answer

Answer:

B. 0.62 Ω

Explanation:

Step1: Analyze circuit types

Circuit A is series, B is parallel.

Step2: Recall resistance rules

Series resistance $R_{total - series}=\sum_{i = 1}^{n}R_i$, parallel resistance $\frac{1}{R_{total - parallel}}=\sum_{i = 1}^{n}\frac{1}{R_i}$.

Step3: Compare resistances

Parallel - connected resistors (circuit B) have lower total resistance than series - connected ones (circuit A). So circuit B's resistance is less than 5.9 Ω, and 0.62 Ω is a possible value.