Question

Find the equivalent resistance of this

circuit.
R
R3
420 12
160 12
R₂
320 12
Rea = [?] 52

Answer 1

RT = 341.62 Ohms

Step-by-step explanation:

Given the following data;

R1 = 420 Ohms

R2 = 320 Ohms

R3 = 160 Ohms

To find the equivalent resistance;

From the circuit, we can see that R1 and R2 are connected in parallel;

Mathematically, the total equivalent resistance of resistors connected in parallel is given by the formula;

`RT = \frac {R1*R2}{R1 + R2}`

Substituting into the formula, we have;

`RT1 = \frac {420*320}{420 + 320}`

`RT1 = \frac {134400}{740}`

RT1 = 181.62 Ohms

Next, we resolve the resistors to form a series circuit.

RT = RT1 + R3

RT = 160 + 181.62

RT = 341.62 Ohms