lauren21303 lauren21303

07-07-2019
Physics

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A resistor with an unknown resistance in connected in parallel to a 12-ohm resistor. When both resistors are connected to a battery of 12 V, the current in the unknown resistor is measured to be 3.0 A. What is the resistance of the unknown resistor?

Please show work! :)

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MathPhys MathPhys

08-07-2019

Answer:

6.0 Ω

Explanation:

The equivalent resistance can be found with Ohm's law:

V = IR

12 V = (3.0 A) Rₑ

Rₑ = 4.0 Ω

For resistors in parallel, the equivalent resistance is:

1/Rₑ = 1/R₁ + 1/R₂

1/4.0 = 1/12 + 1/R

R = 6.0 Ω

The resistance of the unknown resistor is 6.0 Ω.

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