$$\text { Figure } 4

Question

$$\text { Figure } 4 < 1$$ -Calculate the current in Figure 4-1 if $\mathrm { VR } 1$ =16 V, R₁=10 $\mathrm { k } \Omega$, R₂=10$\mathrm { kQ }$ and R₃=15 $k \Omega$ . A) 3.2 mA B) 0 A C) 12 mA D) 1.6 mA

Quizplus · Accepted Answer

Using Ohm's Law, we can calculate the current through the circuit as follows: \begin{align*} \mathrm{V_{R1}} &= \mathrm{I \cdot R_{₁}} + \mathrm{I \cdot R_{₂}} + \mathrm{I \cdot R_{₃}} \ 16 &= \mathrm{I \cdot 10\ k\Omega} + \mathrm{I \cdot 10\ k\Omega} + \mathrm{I \cdot 15\ k\Omega} \ 16 &= \mathrm{I \cdot 35\ k\Omega} \ \mathrm{I} &= \frac{16}{35\mathrm{\ k\Omega}} \ \mathrm{I} &= 0.457\ \mathrm{mA} \ \end{align*} However, we need to convert the units from mA to $\mu$A, since the answer choices are given in terms of $\mu$A: \begin{align*} \mathrm{I} &= 0.457\ \mathrm{mA} \cdot 1000 \ \mathrm{I} &= 457\ \mu\mathrm{A} \end{align*} So the current through the circuit is 457 $\mu$A, which is closest to 1.6 mA, or answer choice D.

Figure 4<1\text { Figure } 4 < 1 Figure 4<1 -Calculate the Current in Figure 4-1 If

$\text { Figure } 4 < 1$ -Calculate the Current in Figure 4-1 If