Question

r2 = 15 ohms
r3 = 30 ohms
e_t = 100v
100v
25 ohms
10 ohms
20 ohms
5 ohms

Explanation:

Step1: Calculate the equivalent resistance of R2 and R3 in parallel

For two resistors \(R_2\) and \(R_3\) in parallel, the formula for equivalent resistance \(R_{eq}\) is \(\frac{1}{R_{eq}}=\frac{1}{R_2}+\frac{1}{R_3}\).
Substituting \(R_2 = 15\Omega\) and \(R_3=30\Omega\), we get \(\frac{1}{R_{eq}}=\frac{1}{15}+\frac{1}{30}=\frac{2 + 1}{30}=\frac{3}{30}=\frac{1}{10}\), so \(R_{eq}=10\Omega\).

Step2: Analyze the combination with R1

However, if we assume there was a mis - understanding (since the options have values that might suggest a different combination logic, but if we consider only the parallel part of R2 and R3 as per the formula above)

Answer:

10 ohms