Answer:
RT = 341.62 Ohms
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;
[tex] RT = \frac {R1*R2}{R1 + R2} [/tex]
Substituting into the formula, we have;
[tex] RT1 = \frac {420*320}{420 + 320} [/tex]
[tex] RT1 = \frac {134400}{740} [/tex]
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
