Simulation of RLC Circuit Gaming Project in C++

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3 months ago

#include <iostream>
#include <cmath>
#include <iomanip>

const double PI = 3.141592653589793;

// Function to calculate impedance of RLC circuit
double calculateImpedance(double R, double L, double C, double f) {
    double omega = 2 * PI * f; // Angular frequency
    double XL = omega * L;     // Inductive reactance
    double XC = 1 / (omega * C); // Capacitive reactance
    return std::sqrt(R * R + (XL - XC) * (XL - XC)); // Impedance
}

// Function to calculate voltage across R, L, and C
void calculateVoltages(double R, double L, double C, double f, double Vsource, double& VR, double& VL, double& VC) {
    double omega = 2 * PI * f; // Angular frequency
    double XL = omega * L;     // Inductive reactance
    double XC = 1 / (omega * C); // Capacitive reactance
    double Z = calculateImpedance(R, L, C, f); // Impedance

    // Voltage across R
    VR = (R / Z) * Vsource;
    // Voltage across L
    VL = ((XL) / Z) * Vsource;
    // Voltage across C
    VC = ((XC) / Z) * Vsource;
}

int main() {
    // Circuit parameters
    double R, L, C, f, Vsource;
    
    // User input
    std::cout << "Enter the resistance (R) in ohms: ";
    std::cin >> R;
    std::cout << "Enter the inductance (L) in henries: ";
    std::cin >> L;
    std::cout << "Enter the capacitance (C) in farads: ";
    std::cin >> C;
    std::cout << "Enter the frequency (f) in hertz: ";
    std::cin >> f;
    std::cout << "Enter the source voltage (V) in volts: ";
    std::cin >> Vsource;

    double VR, VL, VC;
    calculateVoltages(R, L, C, f, Vsource, VR, VL, VC);

    std::cout << std::fixed << std::setprecision(2);
    std::cout << "Impedance of the RLC circuit: " << calculateImpedance(R, L, C, f) << " ohms\n";
    std::cout << "Voltage across the resistor (VR): " << VR << " volts\n";
    std::cout << "Voltage across the inductor (VL): " << VL << " volts\n";
    std::cout << "Voltage across the capacitor (VC): " << VC << " volts\n";

    return 0;
}

#include <iostream>

#include <cmath>

#include <iomanip>

const double PI = 3.141592653589793;

// Function to calculate impedance of RLC circuit

double calculateImpedance(double R, double L, double C, double f) {

double omega = 2 * PI * f; // Angular frequency

double XL = omega * L; // Inductive reactance

double XC = 1 / (omega * C); // Capacitive reactance

return std::sqrt(R * R + (XL - XC) * (XL - XC)); // Impedance

}

// Function to calculate voltage across R, L, and C

void calculateVoltages(double R, double L, double C, double f, double Vsource, double& VR, double& VL, double& VC) {

double omega = 2 * PI * f; // Angular frequency

double XL = omega * L; // Inductive reactance

double XC = 1 / (omega * C); // Capacitive reactance

double Z = calculateImpedance(R, L, C, f); // Impedance

// Voltage across R

VR = (R / Z) * Vsource;

// Voltage across L

VL = ((XL) / Z) * Vsource;

// Voltage across C

VC = ((XC) / Z) * Vsource;

}

int main() {

// Circuit parameters

double R, L, C, f, Vsource;

// User input

std::cout << "Enter the resistance (R) in ohms: ";

std::cin >> R;

std::cout << "Enter the inductance (L) in henries: ";

std::cin >> L;

std::cout << "Enter the capacitance (C) in farads: ";

std::cin >> C;

std::cout << "Enter the frequency (f) in hertz: ";

std::cin >> f;

std::cout << "Enter the source voltage (V) in volts: ";

std::cin >> Vsource;

double VR, VL, VC;

calculateVoltages(R, L, C, f, Vsource, VR, VL, VC);

std::cout << std::fixed << std::setprecision(2);

std::cout << "Impedance of the RLC circuit: " << calculateImpedance(R, L, C, f) << " ohms\n";

std::cout << "Voltage across the resistor (VR): " << VR << " volts\n";

std::cout << "Voltage across the inductor (VL): " << VL << " volts\n";

std::cout << "Voltage across the capacitor (VC): " << VC << " volts\n";

return 0;

}

Explanation

Constants:
- PI: Mathematical constant π.
Function calculateImpedance(double R, double L, double C, double f):
- Purpose: Computes the total impedance of the series RLC circuit.
- Parameters:
  - R: Resistance in ohms.
  - L: Inductance in henries.
  - C: Capacitance in farads.
  - f: Frequency in hertz.
- Implementation:
  - Angular Frequency: omega = 2 * PI * f.
  - Inductive Reactance: XL = omega * L
    
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    .
  - Capacitive Reactance: XC = 1 / (omega * C).
  - Impedance Calculation: Z = sqrt(R^2 + (XL - XC)^2).
Function calculateVoltages(double R, double L, double C, double f, double Vsource, double& VR, double& VL, double& VC):
- Purpose: Calculates the voltage across each component (resistor, inductor, capacitor) based on the source voltage.
- Parameters:
  - R, L, C, f, Vsource: Same as above, plus Vsource, the source voltage.
  - VR, VL, VC: Output parameters for voltages across the resistor, inductor, and capacitor.
- Implementation:
  - Uses calculateImpedance to get the total impedance.
  - Calculates voltage drops across each component using voltage division.
Main Function:
- User Input: Prompts for resistance, inductance, capacitance, frequency, and source voltage.
- Voltage Calculation: Calls calculateVoltages to compute voltages across each component.
- Result Display: Outputs the impedance and voltages with two decimal places of precision.

Usage

RLC Circuit Simulation: Models the impedance and voltage distribution in a series RLC circuit.
Electrical Analysis: Demonstrates how to calculate and interpret impedance and voltages in AC circuits.

Explanation

Usage

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