Question

For part 1 I had to Enter a value for the power source output from 5 to 25 volts. Then review the ammeter and voltmeter. Then repeat to take a total of 5 measurements. I did that ( the pics below) and now I’m asked What was the resistance of the resistor in Part 1? Include your current-voltage plot with the measured slope in your response.

Answer 1

R = 3 Ω

Step-by-step explanation

This is a circuit made of a power source and a resistor. To find the resistance on the resistor, we have to use Ohm's Law,

`I=(1)/(R)\cdot V`

If we plot the measures in a current-voltage graph, the slope of that graph is the inverse of the resistance,

The slope of the line of best fit is approximately 1/3, which means that the resistance is 3 Ω.

If we apply Ohm's Law to get the resistance for each pair of measures (V, I), we should obtain a value around 3:

• For (6, 2):

`R=(V)/(I)=(6)/(2)=3`

• For (8, 2.7):

`R=(8)/(2.7)\approx2.96`

• For (10, 3.3):

`R=(10)/(3.3)\approx3.03`

• For (12, 4):

`R=(12)/(4)=3`

• For (14, 4.7):

`R=(14)/(4.7)\approx2.98`

Hence, the resistance is 3 Ω.