Question

The total resistance in a circuit with two parallel resistors is 2 ohms and R1 is 6 ohms. Using the equation for R2, in terms of RT and R1, what is R2 R2 blank is ohms

Answer 1

Answer: is 3 ohms.

Explanation: edmentum/plato :)

Answer 2

`R_2` is 3 ohms

Explanation:

In a circuit containing two resistors
`R_1` and
`R_2` connected together in parallel, the total resistance
`R_T` is given by;

`(1)/(R_T) = (1)/(R_1) + (1)/(R_2)` ---------(i)

Make
`R_2` subject of the formula;

=>
`(1)/(R_2) = (1)/(R_T) - (1)/(R_1)`

=>
`(1)/(R_2) = (R_1 - R_T)/(R_TR_1)`

=>
`{R_2} = (R_TR_1)/(R_1 - R_T)` ---------------(ii)

From the question,

`R_1` = 6Ω

`R_T` = 2Ω

Substitute these values into equation (ii) as follows;

=>
`{R_2} = (2*6)/(6 - 2)`

`{R_2} = (12)/(4)`

`R_2` = 3Ω

Therefore, the value of
`R_2` = 3 ohms or
`R_2` = 3Ω