Question

A voltage of 12 V is applied across a circuit with one 3 0hm resistor in series and three 3 Ohm resistors in parallel. What is the total resistance in the circuit? Select one:a.1/3 Ohmsb.9 Ohmsc.3.33 Ohmsd.4 Ohms

Answer 1

ANSWER

d.

EXPLANATION

Let's draw the circuit first,

So, first, we have to solve the parallel,

$R_{parallel}=\frac{1}{\frac{1}{R}+\frac{1}{R}+\frac{1}{R}}=\frac{1}{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}=\frac{1}{\frac{3}{3}}=1\Omega$

The equivalent resistance is,

$R_{eq}=R_{parallel}+R=1\Omega+3\Omega=4\Omega$

Hence, the total resistance in the circuit is 4 Ohms.