Answer to Question #290840 in Electric Circuits for Ken

Question

Two resistances of 10 and 15 ohms each respectively are connected in parallel. The two are then connected in series with a 5-ohm resistance. What is the equivalent resistance?

Answer 1

Given R1 = 10 Ohms

R2 = 15 Ohms

R3 = 5 Ohms

R1 and R2 are in parallel, therefore, R12 = R1 || R2

R12 = $\frac{1}{R12} = \frac{1}{R1} + \frac{1}{R2}$

R12 = $\frac{R1 * R2}{R1+R2}$

R12 = $\frac{10 + 15}{10*15} = 6 Ohms$

Now R12 and R3 are in series,

Therefore, Net equivalent Res. R = R12 + R3 = 6 + 5 = 11 Ohms

Therefore, Final Equivalent Res. = 11 Ohms