Two resistors, R1 and R2, are
connected in parallel. R1 = 35.0
ohms, and the equivalent resistance
of the combination is 14.5 ohms.
What is the value of R2?
(Unit = ohm)

Two resistors R1 and R2 are connected in parallel R1 350 ohms and the equivalent resistance of the combination is 145 ohms What is the value of R2 Unit ohm class=

Respuesta :

Answer:

The value of R₂ is equal to 24.75 ohms.

Explanation:

Given that,

Two resistors, R₁ and R₂, are  connected in parallel.

The equivalent resistance is 14.5 ohms

We need to find the value of R₂.

When two resistors are connected in parallel. The equivalent resistance is given by :

[tex]\dfrac{1}{R_{eq}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}\\\\\dfrac{1}{14.5}=\dfrac{1}{35}+\dfrac{1}{R_2}\\\\\dfrac{1}{R_2}=\dfrac{1}{14.5}-\dfrac{1}{35}\\\\\dfrac{1}{R_2}=0.04039\\\\R_2=\dfrac{1}{0.04039}\\\\R_2=24.75\ \Omega[/tex]

So, the value of R₂ is equal to 24.75 ohms.

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