Circuits in Python: Resistor Combinations

In this question, we will develop Python functions to represent series and parallel connections of resistors, and use these functions to represent equivalent resistances in specific circuits. Next week, we will generalize this idea to include series and parallel combinations of arbitrary components.

1) Parallel Combination

Write a Python function r_parallel, which should take two numbers representing resistances (in ohms), and should return the equivalent resistance of the parallel combination of resistors with those resistances.

def r_parallel(r1, r2): pass # your code here ### Test Cases: # Test Case 1 (Should print: {'result': 1099.2770866319838, 'duration': 0.0025272369384765625, 'complete': True}) ans = r_parallel(2373, 2048) print("Test Case 1:", ans) print("Expected:", {'result': 1099.2770866319838, 'duration': 0.0025272369384765625, 'complete': True})

2) Series Combination

Now write a Python function r_series, which should take two numbers representing resistances (in ohms), and should return the equivalent resistance of the series combination of resistors with those resistances.

def r_series(r1, r2): pass # your code here ### Test Cases: # Test Case 1 (Should print: {'result': 9525, 'duration': 0.0024776458740234375, 'complete': True}) ans = r_series(9280, 245) print("Test Case 1:", ans) print("Expected:", {'result': 9525, 'duration': 0.0024776458740234375, 'complete': True})

3) Specific Combinations

In this section, we will use the pieces from the earlier sections to find equivalent resistances in particular circuits.

3.1) Circuit 1

Note that we will test your code using random numbers for the resistance values. You may wish to develop some simpler test cases of your own to help you debug..

Use the functions you defined above to find the equivalent resistance between the points labeled A and B in the circuit above, and to store the result in the variable equivalent_resistance. Your code can depend on r_parallel, r_series, r1, r2, r3, and r4. Feel free to define auxilliary variables if that is helpful. equivalent_resistance = None # replace with your code

3.2) Circuit 2

Use the functions you defined above to find the equivalent resistance between the points labeled A and C in the circuit above, and to store the result in the variable equivalent_resistance. Your code can depend on r_parallel, r_series, r1, r2, r3, r4, and r5. Feel free to define auxilliary variables if that is helpful. equivalent_resistance = None # replace with your code

Use the functions you defined above to find the equivalent resistance between the points labeled A and B in the circuit above, and to store the result in the variable equivalent_resistance. Your code can depend on r_parallel, r_series, r1, r2, r3, r4, and r5. Feel free to define auxilliary variables if that is helpful. equivalent_resistance = None # replace with your code

Use the functions you defined above to find the equivalent resistance between the points labeled C and D in the circuit above, and to store the result in the variable equivalent_resistance. Your code can depend on r_parallel, r_series, r1, r2, r3, r4, and r5. Feel free to define auxilliary variables if that is helpful. equivalent_resistance = None # replace with your code