Question

1. jack measured 1 amp as the total current in a certain circuit when he applied 20 volts to the circuit. when he applied 60 volts, he got a measurement of 3 amps. write a linear equation describing the relation between voltage and current, and calculate the total current when 50 volts are applied to the circuit.

Explanation:

Identify the variables and given data points

Using the Ohms Law Modeling and Linear Modeling knowledge points
Let \(V\) represent the voltage in volts (independent variable) and \(I\) represent the current in amperes (dependent variable).
The given data points are:

$$ (V_1, I_1) = (20, 1) $$

$$ (V_2, I_2) = (60, 3) $$

Determine the linear equation

Using the Linear Modeling knowledge point

$$
LATEXBLOCK0
$$

Calculate the current at 50 volts

Using the Ohms Law Modeling and Linear Modeling knowledge points

$$
LATEXBLOCK1
$$

Answer:

The linear equation describing the relationship is:

$$I = \frac{1}{20}V$$

The total current when 50 volts are applied is:

$$2.5\text{ amps}$$