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Project 6A: NASA Consult Test Part 1
Lieutenant Maverick Mitchell has been impressed with your work over at JPL and has been considering hiring your team as permanent consultants. Maverick was all ready to sign the hiring paperwork, but just got word that NASA director Dr. Sinnay Tobb requires some extra vetting. Dr. Tobb has passed along the following tasks to test your mettle. Complete the levels and show that you're ready to be permanent consultants!
Level 1: Basic Combos
For the circuits below, say that $V_{bat} = 5 V$, $R_1 = 2 \Omega$, $R_2 = 3 \Omega$, and $R_3 = 4 \Omega$. For each circuit below,
a) What is the equivalent resistance of the circuit?
b) Which resistor would have the largest voltage drop?
c) Which resistor would have the smallest current?
Level 2: Equal circuit elements
For the circuits below, say that $V_{bat} = 16 V$ and each resistor is $R = 150 \Omega$. For each circuit,
a) What is the equivalent resistance of the circuit?
b) Which resistors are in series? Which resistors are in parallel? How do you know?
Level 3: Resistor Circuits
For the circuits below, you have been given some of the quantities for various elements around the circuit. For example, $V_1$ would correspond to the voltage across Resistor 1. For each circuit,
a) Which resistors are in series and which resistors are in parallel? How do you know?
b) Find all the missing quantities for each resistor (R, V, I, and P).
c) What is the voltage, current, and power provided by the battery in your circuit?
d) If the resistors in the circuit were lightbulbs, which would be the brightest?
Level 4: Challenge Mode
For the circuit below, say that $V_{bat1} = 9 V$, $V_{bat2} = 6 V$, and all resistors are $R = 100 \Omega$. For the circuit below,
a) Are there places in your circuit that can simplify? (AKA resistors in series or in parallel?)
b) Redraw the circuit after making the simplifications that you can.
c) How many different currents do you have in your circuit? Draw and label this on your picture. What node rule equations can you make?
d) How many different loops do you have in your circuit? What loop rule equations can you make?
e) Solve for your unknown currents. Note: you can use Wolfram Alpha or other resources online to solve the system of equations.
