A 10Ω resistor is connected in parallel to another resistor R. The equivalent resistance of the...

Question

Question

A 10Ω resistor is connected in parallel to another resistor R. The equivalent resistance of the pair is 8Ω. What is the resistance R?

a. 10⁢Ω

b. 20Ω

c. 30Ω

d. 40Ω

Answer 1

Answer #1

When two resistors R₁ and R₂ are connected in parallel, their equivalent resistance will be

R = (1/R₁ + 1/R₂ )^-1

Here 8 = (1/10 + 1/R₂)^-1

1/8 = 1/10 + 1/R₂

1/R₂ = 1/8 - 1/10

R₂ = 10*8/ (10-8)

R₂ = 40 ohm

Therefore the another resistor is 40 ohm

Answer 2

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