QUESTION IMAGE
Question
relationship between voltage & current
use the drop - down menus to se
for each statement.
current is the independent
voltage is the dependent
this graph shows a(an) direct
a current of 0.04 a gives a voltage of
a voltage of 2 v corresponds to a current of a.
Step1: Determine the relationship between voltage and current
From the graph, we can see that voltage \(V\) and current \(I\) follow a linear relationship \(V = kI\) (Ohm's law \(V = IR\), where \(R\) is the resistance, a constant in this case).
First, find the resistance \(R\). When \(I = 0.04A\), assume \(V = 5.6V\) (approximate from the graph). Then \(R=\frac{V}{I}=\frac{5.6}{0.04}=140\Omega\)
Step2: Calculate the current when \(V = 2V\)
Using the formula \(I=\frac{V}{R}\), substitute \(V = 2V\) and \(R = 140\Omega\)
\(I=\frac{2}{140}\approx0.014A\)
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\(0.014\)