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matlab need cde thanks 1 + 3) The combined resistance RT of three resistors R1, R2, and R3 in parallel is given by RT =

image text in transcribedmatlab need cde thanks
1 + 3) The combined resistance RT of three resistors R1, R2, and R3 in parallel is given by RT = 1 + RI R2 R3 a) Provide a physical justification for the form of this equation? i.e. why does it make sense that three 100 ohm resistors in parallel only has an effective resistance of 33.33 ohms. b) Write a function resistance_3(R1,R2, R3) that calculates the total resistance when given the resistance of three resistors in parallel. You function will take the three resistances as input. c) Write a function that calculates the total resistance of n resistors in parallel called resistance_n(R). The input Ris a nx1 vector or list of resistances. Lookup the MATLAB function size to help you. d) Write a script which i) Generates a list of 10 random resistances between 1 and 100 ohms. ii) Calculate the effective resistance if these resistors were connected in parallel. I e) Consider network of 100 resistors, with resistances 1,2,3,...99,100 ohms, connected in parallel. Write a script to calculate the effective resistance. Hint: -0.1928 Ohms). f) From the above equation, determine the total resistance of an infinte number of 1 ohm resisters connected in parallel? How could you explore this limit using your function? Does this limit make physical sense (Assuming you could actually connect an infinite number of resistor)? What are the physical limitations to testing this limit (what is the resistance of the wire you are using to connect the resistors????) Describe the computational limits to evaluating this resistance (What approximation would you need to make? Can you actually do the infinite sum?)

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