Lab 5 Electricity and Rational Functions Rational functions can behave quite strangely as you might have seen! The presence of asymptotes can create some interesting curves, and it might not be obvious where these functions can occur in nature. One prime example is in the study of electrical currents! \" A resistor is an electrical component that dissipates electrical energy as heat; we can understand the relationship between voltage (denoted V; essentially electric energy) and current (denoted I; the amount of electrons flowing) through Ohm's Law: V = I * R, where R is the resistance of the resistor. A resistor works by changing the thickness of the wire, limiting how many electrons can pass through (current). 1. Say we have a 9V battery powering a circuit, and we have attached a 2 Ohm resistor. What is the current passing through the circuit? (we use Amperes or \"Amps\" as the unit for current) 2. We can combine multiple resistors in different ways, both in series and in parallel; examples of the circuits look like this (the spaced lines with a + represent a voltage source, such as a battery): : 5 ; For resistors in series, we may combine their resistances Resistors in Series like so: R1 R2 R3 Rt0t=R1+R2+R3 Ty But for resistors in parallel, we may combine their resistances like so: 1 _1+1+1+ Reot i RyibiR G Rt Resistors in Parallel Find the total resistance of the circuit if we have R, =2Q,R; =5Q,R3 =10 Qin parallel. (2 = Ohms). (Make sure Ry, is in the numerator!) 3. Find a formula for R,,; for 2 resistors Ry and R in parallel. (Again, put R, in the numerator!) 4. Based on the formula found in question 4, let Ry = x and let R = 8 Q. Does this function R;o; (x) have any asymptotes? If so, where