Question

if a circuit has 2 loads in parallel, each being 4 ohms, what is the resistance of the loads in the circuit?
select one:
a. .5 ohms
b. 2 ohms
c. 8 ohms
d. 16 ohms

Explanation:

Step1: Recall parallel resistance formula

For two resistors \( R_1 \) and \( R_2 \) in parallel, the formula for equivalent resistance \( R_{eq} \) is \( \frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2} \).

Step2: Substitute values

Here, \( R_1 = 4\) ohms and \( R_2 = 4\) ohms. So \( \frac{1}{R_{eq}}=\frac{1}{4}+\frac{1}{4}=\frac{2}{4}=\frac{1}{2} \).

Step3: Solve for \( R_{eq} \)

Taking reciprocal of both sides, \( R_{eq} = 2 \) ohms.

Answer:

b. 2 ohms