Problem: Suppose that R = 70 Ω.What is the equivalent resistance between the points a and b in Figure 1? Express your answer with the appropriate units.Rab = ____

Equivalent resistance for resistors in series:

$R_{e q} = R_{1} + R_{2} + . . . + R_{n}$

Equivalent resistor for resistors in parallel:

$\frac{1}{R_{e q}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + . . . + \frac{1}{R_{n}}$

60Ω and 40Ω are in parallel.

1/R_eq1= 1/60 + 1/40 = 1/24

R_eq = 24Ω

60Ω, 60Ω, and 45Ω resistors are in parallel:

1/R_eq2 = 1/60 + 1/60 + 1/45 = 1/18

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Suppose that R = 70 Ω.

What is the equivalent resistance between the points a and b in Figure 1? Express your answer with the appropriate units.

R_ab = ____

What scientific concept do you need to know in order to solve this problem?

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