First day- review 02/23/2016

First Day of Class 02/23/2016

I. Review of a circuit:

Today, Professor Mason started us off with a simple electric circuit. The middle light bulb was not turned on because the current choose the top part with lower resistance to go through. Therefore, the top and bottom light bulbs stayed the same whereas the middle was still not on

II. Sinusoidal Graph- draft plotting

1. Current, charge, potential:

Here we recalled that current is the time rate of change of charge. I=dq/dt. With the given graph, we used our intuition to draw our graph, including the graph function, which turned out  to be correct.

the graph is of charge of time. For intensity, we just needed to take the first derivative with respect to time.

Here we had to find the charge from 0 to 2 seconds. Since we already had the i(t). We just needed to take integral with given time range to find Q.

Here we were given the voltage =10V, the function power=10i. Since we had the graph of current, the graph of power is just 10 times the magnitude of current. Since we knew that E=P*t, we understood that the energy graph would be a triangle

III. Experiment with the breadboard:
We were given the breadboard and the multimeter. Our goal was to find the relationship between the holes in the same rows in the same section, the holes in the same rows with the different section, and the holes in different rows. Note: we were measuring the current.

Here is our setup, we assumed that the multimeter had minimal resistance.

We made the connection by adding the jumper cable in the middle

Only the holes in the same rows in the same section; or the circuit must have jumper wire ; to make a closed circuit

Here we tested the circuit of the outermost column; they are actually connected

Here is our conclusion, notice that the green continuous line is how the circuit connects

V. Plotting the power graph v. time based on current and potential graph:
Here, we were given the two graphs of current and potential. First, when we made the new graph, the divided the time scale to four pieces, 0-4, with the increment of 1. Then we noticed that we just needed to find the first half, the second half would be the reflection through the vertical line

After getting our graph, we found the graph equations, take integral and times 2 (due to symmetry)

VI. Summery:

Today, we spent first 20 minutes of class figuring out how the circuit work, which was also a good chance for us to review Kirchoff's law in the circuit. Most of our time today was about learned how to use the breadboard. In addition, we also reviewed our skills and intuition to understand the relationship between current, charge, and intensity. We agreed that with the breadboard, it is easier for us to set up the circuit than we did in 4B, which was a mess of wire and hard to follow