So i have write the following code (above) and now for the second part i am required to apply the Complex Number into finding the voltage across the Resistor in a series RLC circuit.

The following tasks :

Create an executable program Resonant Circuit, which allows you to output the voltage across the resistor. Output is through the main function.

The characteristic values of the resistance R (10 Ω), the inductance L (10 mH)

and the capacitance C (10 nF) to be created as a constant in the function.

Create a function voltageOverResistor that calculates the complex AC voltage across the resistor. The method gives the angular frequency as a parameter. The input voltage should be assumed to be 1 V.

The output of the voltage is in the range of 10 kHz to 100 kHz in

Steps of 10 kHz.

```
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#define PI 3.14159
struct complex
{
int real, img;
};
int main()
{
int choice, temp1, temp2, temp3;
struct complex a, b, c;
while(1)
{
printf("Press 1 to add two complex numbers.\n");
printf("Press 2 to subtract two complex numbers.\n");
printf("Press 3 to multiply two complex numbers.\n");
printf("Press 4 to divide two complex numbers.\n");
printf("Press 5 to find the absolute valute of complex numbers.\n");
printf("Press 6 to find the angle.\n");
printf("Press 7 to exit.\n");
printf("Enter your choice\n");
scanf("%d",&choice);
if( choice == 7)
exit(0);
if(choice >= 1 && choice <= 4)
{
printf("Enter a and b where a + ib is the first complex number.");
printf("\na = ");
scanf("%d", &a.real);
printf("b = ");
scanf("%d", &a.img);
printf("Enter c and d where c + id is the second complex number.");
printf("\nc = ");
scanf("%d", &b.real);
printf("d = ");
scanf("%d", &b.img);
}
if ( choice == 1 )
{
c.real = a.real + b.real;
c.img = a.img + b.img;
if ( c.img >= 0 )
printf("Sum of two complex numbers = %d + %di",c.real,c.img);
else
printf("Sum of two complex numbers = %d %di",c.real,c.img);
}
else if ( choice == 2 )
{
c.real = a.real - b.real;
c.img = a.img - b.img;
if ( c.img >= 0 )
printf("Difference of two complex numbers = %d + %di",c.real,c.img);
else
printf("Difference of two complex numbers = %d %di",c.real,c.img);
}
else if ( choice == 3 )
{
c.real = a.real*b.real - a.img*b.img;
c.img = a.img*b.real + a.real*b.img;
if ( c.img >= 0 )
printf("Multiplication of two complex numbers = %d + %di",c.real,c.img);
else
printf("Multiplication of two complex numbers = %d %di",c.real,c.img);
}
else if ( choice == 5)
{
float abs;
printf("Enter a and b where a + ib is the first complex number.");
printf("\na = ");
scanf("%d", &a.real);
printf("b = ");
scanf("%d", &a.img);
abs = sqrt(a.real*a.real + a.img*a.img );
printf("Absolute value of the complex number is = %f", abs);
}
else if ( choice == 6)
{
float angle;
printf("Enter a and b where a + ib is the first complex number.");
printf("\na = ");
scanf("%d", &a.real);
printf("b = ");
scanf("%d", &a.img);
angle = atan(a.img/a.real);
printf("Angle of the complex number is = %f", angle*180/PI);
}
else if ( choice == 4 )
{
if ( b.real == 0 && b.img == 0 )
printf("Division by 0 + 0i is not allowed.");
else
{
temp1 = a.real*b.real + a.img*b.img;
temp2 = a.img*b.real - a.real*b.img;
temp3 = b.real*b.real + b.img*b.img;
if ( temp1%temp3 == 0 && temp2%temp3 == 0 )
{
if ( temp2/temp3 >= 0)
printf("Division of two complex numbers = %d + %di",temp1/temp3,temp2/temp3);
else
printf("Division of two complex numbers = %d %di",temp1/temp3,temp2/temp3);
}
else if ( temp1%temp3 == 0 && temp2%temp3 != 0 )
{
if ( temp2/temp3 >= 0)
printf("Division of two complex numbers = %d + %d/%di",temp1/temp3,temp2,temp3);
else
printf("Division of two complex numbers = %d %d/%di",temp1/temp3,temp2,temp3);
}
else if ( temp1%temp3 != 0 && temp2%temp3 == 0 )
{
if ( temp2/temp3 >= 0)
printf("Division of two complex numbers = %d/%d + %di",temp1,temp3,temp2/temp3);
else
printf("Division of two complex numbers = %d %d/%di",temp1,temp3,temp2/temp3);
}
else
{
if ( temp2/temp3 >= 0)
printf("Division of two complex numbers = %d/%d + %d/%di",temp1,temp3,temp2,temp3);
else
printf("Division of two complex numbers = %d/%d %d/%di",temp1,temp3,temp2,temp3);
}
}
}
else
printf("Invalid choice.");
printf("\nPress any key to enter choice again...\n");
}
}
```