Question

relationship between voltage & current
use the drop - down men
for each statement.
current is the dependa
voltage is the indepen
this graph shows a(an)
a current of 0.04 a gives a voltage of v.
a voltage of 2 v corresponds to a current of a

Explanation:

Step1: Find the voltage for a current of 0.04 A

Looking at the graph, when the current \(I = 0.04\space A\), we can see from the \(y -\)axis (voltage axis) that the corresponding voltage value. If we assume the linear relationship \(V=kI\) (from the straight - line graph which shows a linear relationship). Let's take two points \((I_1,V_1)=(0.01,2)\) and \((I_2,V_2)=(0.05,7)\). The slope \(k=\frac{V_2 - V_1}{I_2 - I_1}=\frac{7 - 2}{0.05 - 0.01}=\frac{5}{0.04}=125\). Then \(V = 125I\). When \(I = 0.04\space A\), \(V=125\times0.04 = 5\space V\).

Step2: Find the current for a voltage of 2 V

Using the formula \(V = kI\) (where \(k = 125\) as calculated above). Rearranging for \(I\), we get \(I=\frac{V}{k}\). When \(V = 2\space V\), \(I=\frac{2}{125}=0.016\space A\)

Answer:

A current of \(0.04\space A\) gives a voltage of \(5\space V\). A voltage of \(2\space V\) corresponds to a current of \(0.016\space A\)