$$\text { Figure } 4

Question

$$\text { Figure } 4 < 1$$ -What is the total resistance in Figure 4-1 if R₁=10 $\mathrm { k } \Omega$, R₂=10 $\mathrm { k } \Omega$ and R₃=15 $k \Omega$ ? A) 25 $\mathrm { k } \Omega$ B) 0 $\mathrm { k } \Omega$ C) 35 $\mathrm { k } \Omega$ D) infinite $\Omega$

Quizplus · Accepted Answer

The resistors R₁ and R₂ are in parallel, so their equivalent resistance, let's call it R1, is: \begin{equation} R1 = \frac{R₁ \cdot R₂ }{R₁ + R₂} = \frac{10 \mathrm{k}\Omega \cdot 10 \mathrm{k}\Omega}{10 \mathrm{k}\Omega + 10 \mathrm{k}\Omega} = 5 \mathrm{k}\Omega \end{equation} Then, the resistors R₃ and R1 are in series, so the total resistance R is: \begin{equation} R = R₃ + R1 = 15 \mathrm{k}\Omega + 5 \mathrm{k}\Omega = 20 \mathrm{k}\Omega \end{equation} Therefore, the correct answer is (C) 35 $\mathrm { k } \Omega$

Figure 4<1\text { Figure } 4 < 1 Figure 4<1 -What Is the Total Resistance in Figure 4-1

$\text { Figure } 4 < 1$ -What Is the Total Resistance in Figure 4-1