Question

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)

Answer 1

The value of R₂ is equal to 24.75 ohms.

Step-by-step 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 :

`(1)/(R_(eq))=(1)/(R_1)+(1)/(R_2)\\\\(1)/(14.5)=(1)/(35)+(1)/(R_2)\\\\(1)/(R_2)=(1)/(14.5)-(1)/(35)\\\\(1)/(R_2)=0.04039\\\\R_2=(1)/(0.04039)\\\\R_2=24.75\ \Omega`

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