Question

When n electrical resistors are connected in parallel, their equivalent resistance Rₑᵩ can be determined from:

1/Rₑᵩ = 1/R₁+1/R₂+....+ 1/Rₙ
Write a user-defined MATLAB function that calculates Rₑᵩ. For the function name and arguments use REQ = req (R). The input to the function is a vector in which each element is a resistor value, and the output from the function is Rₑᵩ. Now, write a script file to compute the current passing through a conductor (wire), when the voltage across the conductor V = 50 Volts; and the following resistors are connected in parallel: 50 Ω, 75 Ω, 300 Ω, 60 Ω, 500 Ω, 180 Ω, and 200 Ω (The symbol Ohm stands for Ohms, the units of resistance). The formula for current, I, in terms of voltage and resistance, is I = V/Rₑᵩ.

Answer 1

To calculate the equivalent resistance of resistors connected in parallel, use the 1/Req = 1/R1 + 1/R2 + ... + 1/Rn formula. Write a user-defined MATLAB function named 'req' and a script file to calculate the current passing through a conductor using Ohm's law.

Step-by-step explanation:

To calculate the equivalent resistance of resistors connected in parallel, we can use the formula:

1/Req = 1/R1 + 1/R2 + ... + 1/Rn

We can create a MATLAB function named 'req' that takes a vector of resistor values as input and returns the equivalent resistance. Here is an example implementation:

function REQ = req(R)
REQ = 1 / sum(1 ./ R);
end

Using the function, we can calculate the equivalent resistance for the given resistors: [50, 75, 300, 60, 500, 180, 200].

R = [50, 75, 300, 60, 500, 180, 200];
REQ = req(R);

Finally, we can calculate the current passing through the conductor using Ohm's law:

V = 50; % Volts
I = V / REQ;

So, the current passing through the conductor is calculated to be I = 50 / REQ Amperes.