What is the equivalent resistance between points A and B in the figure when R = 10 Ω?
A)20 Ω
B)10 Ω
C)25 Ω
D)15 Ω
E)3.2 Ω

Question

What is the equivalent resistance between points A and B in the figure when R = 10 Ω? 
A)20 Ω 
B)10 Ω 
C)25 Ω 
D)15 Ω 
E)3.2 Ω

Quizplus · Accepted Answer

In this circuit, the resistors are in parallel with each other between points A and B, so we can use the formula for equivalent resistance of parallel resistors:

1/R_eq = 1/R_1 + 1/R_2 + 1/R_3

Plugging in the given values, we get:

1/R_eq = 1/10 + 1/20 + 1/40

1/R_eq = 1/5

R_eq = 5 Ω

Therefore, the equivalent resistance between points A and B when R = 10 Ω is 5 Ω.

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