Solving I2 in Polar Form: Exploring Complex Numbers

In summary: LOL. Your calculator is doing the conversions for you (hopefully). You might want to double check the answer the good old fashioned way, by hand, just to be sure you understand the process.
  • #1
noname1
134
0
I got this equation

5<0° = -14.14<-45° + 2.24<116.6° I2

And i solved I2 this way

I2 = -14.14<-45° / 2.24<116.6°

I2 = 8<150.29°

I want to know complex numbers is the same way as normal math or not

thanks in advance
 
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  • #2
noname1 said:
I got this equation

5<0° = -14.14<-45° + 2.24<116.6° I2

And i solved I2 this way

I2 = -14.14<-45° / 2.24<116.6°

I2 = 8<150.29°

I want to know complex numbers is the same way as normal math or not

thanks in advance

What is I2? Is it something special, or just a term multiplying the 2nd number on the righthand side (RHS) of the equation?

If the latter, I think it would be more traditional to write it as:

5<0° = -14.14<-45° + I2 * 2.24<116.6°
 
  • #3
i2 is being multiplied, its a current in the second mesh but i just wanted to be sure if it is that way its calculated
 
  • #4
noname1 said:
i2 is being multiplied, its a current in the second mesh but i just wanted to be sure if it is that way its calculated

In that case, I don't think you've solved for I2 correctly. For one thing, the LHS term disappeared?

To add the two terms on the RHS, you would convert from polar to rectangular form, and add the x and y components. Then represent the LHS in rectangular components (that part is easy), and solve for I2.
 
  • #5
berkeman said:
In that case, I don't think you've solved for I2 correctly. For one thing, the LHS term disappeared?

To add the two terms on the RHS, you would convert from polar to rectangular form, and add the x and y components. Then represent the LHS in rectangular components (that part is easy), and solve for I2.


what do you mean by lhs and rhs? i am kind of lost
 
  • #6
noname1 said:
what do you mean by lhs and rhs? i am kind of lost

I defined the term RHS in my post #2.
 
  • #7
berkeman said:
I defined the term RHS in my post #2.

this is what i did, i put i2 term on left side and than the rest on the rhs and since i want I2 i divided both equations by 2.24<116.6°

5<0° = -14.14<-45° + I2 * 2.24<116.6°

5<0° + 14.14<-45° = I2 * 2.24<116.6°

(5<0° + 14.14<-45°) / 2.24<116.6° = I2

I2 = 8<150.29°
 
  • #8
noname1 said:
this is what i did, i put i2 term on left side and than the rest on the rhs and since i want I2 i divided both equations by 2.24<116.6°

5<0° = -14.14<-45° + I2 * 2.24<116.6°

5<0° + 14.14<-45° = I2 * 2.24<116.6°

(5<0° + 14.14<-45°) / 2.24<116.6° = I2

I2 = 8<150.29°

How are you adding terms in polar form?
 
  • #10
berkeman said:
How are you adding terms in polar form?

this part

(5<0° + 14.14<-45°) / 2.24<116.6° = I2

i have my ti-89 calculating it but i just want to know if it is correct if i can calculate polar form like a normal equation

example

3x -5 = 10
3x = 15
x=5
 
  • #11
noname1 said:
this part

(5<0° + 14.14<-45°) / 2.24<116.6° = I2

i have my ti-89 calculating it but i just want to know if it is correct if i can calculate polar form like a normal equation

example

3x -5 = 10
3x = 15
x=5

LOL. Your calculator is doing the conversions for you (hopefully). You might want to double check the answer the good old fashioned way, by hand, just to be sure you understand the process.
 

1. What is I2 in polar form?

I2 in polar form refers to the representation of a complex number in the form I2 = r(cosθ + isinθ), where r is the magnitude of the complex number and θ is the angle formed by the number in the complex plane.

2. How do you convert I2 to polar form?

To convert I2 to polar form, you can use the formula r = √(a2 + b2) to find the magnitude and use θ = tan-1(b/a) to find the angle in the complex plane.

3. What is the advantage of using polar form for solving I2?

Using polar form allows for easier visualization of complex numbers in the complex plane. It also simplifies mathematical operations such as multiplication, division, and exponentiation.

4. Can you solve I2 using other methods besides polar form?

Yes, there are other methods for solving I2 such as using the rectangular form I2 = a + bi or the exponential form I2 = reiθ. However, polar form is often preferred due to its simplicity and ease of use.

5. How do you plot a complex number in polar form?

To plot a complex number in polar form, you can use the magnitude as the distance from the origin on the complex plane and the angle as the direction from the positive real axis. This can help visualize the number's location and relationships with other complex numbers.

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