Question

what is the current running through this wire?

.08 a
.006 a
.004 a
.008 a

Explanation:

Step1: Calculate total resistance

In a series circuit, total resistance \(R_{total}=R_1 + R_2+R_3+R_4\). Here, \(R_1 = 200\Omega\), \(R_2=500\Omega\), \(R_3 = 1000\Omega\), \(R_4=1000\Omega\). So \(R_{total}=200 + 500+1000 + 1000=\ 2700\Omega\)

Step2: Apply Ohm's Law

Ohm's Law is \(I=\frac{V}{R}\). Given \(V = 12V\) and \(R = R_{total}=2700\Omega\). Then \(I=\frac{12}{2700}\approx0.0044A\approx0.004A\) (rounded to three - decimal places)

Answer:

\(0.004A\)