Question

the resistors in the following image combine to create:
r2 = 20 ohms
r3 = 30 ohms
e_t = 100v
5 ohms
10 ohms
15 ohms
12 ohms

Explanation:

Step1: Calculate the equivalent resistance of parallel resistors

For two parallel resistors \(R_2\) and \(R_3\), the formula for equivalent resistance \(R_{eq}\) is \(\frac{1}{R_{eq}}=\frac{1}{R_2}+\frac{1}{R_3}\).
Substitute \(R_2 = 20\Omega\) and \(R_3=30\Omega\) into the formula: \(\frac{1}{R_{eq}}=\frac{1}{20}+\frac{1}{30}=\frac{3 + 2}{60}=\frac{5}{60}=\frac{1}{12}\). So \(R_{eq}=12\Omega\)

Answer:

12 ohms