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.