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:

$R_2$  is 3 ohms

Step-by-step explanation:

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

$\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2}$              ---------(i)

Make $R_2$ subject of the formula;

=> $\frac{1}{R_2} = \frac{1}{R_T} - \frac{1}{R_1}$  

=> $\frac{1}{R_2} = \frac{R_1 - R_T}{R_TR_1}$

=>   ${R_2} = \frac{R_TR_1}{R_1 - R_T}$       ---------------(ii)

From the question,

$R_1$ = 6Ω

$R_T$ = 2Ω

Substitute these values into equation (ii) as follows;

=> ${R_2} = \frac{2*6}{6 - 2}$

${R_2} = \frac{12}{4}$

$R_2$ = 3Ω

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