Question

een voltage & current
use the drop - down menus to select the correct answer
for each statement.
current is the independent ○ variable.
voltage is the dependent ○ variable.
this graph shows a(an) ○ relationship.
a current of 0.04 a gives a voltage of ○ v.
a voltage of 2 v corresponds to a current of ○
a.
0.03 0.04 0.05 0.06
rent (a)

Explanation:

Step1: Analyze the relationship type

In a voltage - current graph (Ohm's law \(V = IR\), where \(R\) is constant), when current (\(I\)) is on the x - axis (independent variable) and voltage (\(V\)) is on the y - axis (dependent variable), the relationship is linear.

Step2: Calculate voltage for \(I = 0.04A\)

Assume the equation of the line is \(V=kI\). Let's take two points from the graph (for example, if when \(I = 0.03A\), \(V = 1.5V\) and when \(I=0.06A\), \(V = 3V\)). The slope \(k=\frac{\Delta V}{\Delta I}=\frac{3 - 1.5}{0.06 - 0.03}=50\). When \(I = 0.04A\), \(V=kI=50\times0.04 = 2V\)

Step3: Calculate current for \(V = 2V\)

Using \(V = kI\), and \(k = 50\), when \(V = 2V\), \(I=\frac{V}{k}=\frac{2}{50}=0.04A\)

Answer:

Current is the independent variable.
Voltage is the dependent variable.
This graph shows a linear relationship.
A current of \(0.04A\) gives a voltage of \(2V\).
A voltage of \(2V\) corresponds to a current of \(0.04A\).