Solve Complex Number Equation - V(o) = 183.53-j14.12

stau40
Messages
37
Reaction score
0

Homework Statement


I'm working on a circuits equation and need to find V(o). The equation is: (V(o)/-j25)+((V(o)-240)/12.5)+(V(o)/(15+j20))=0 How do I solve for V(o)? I know the answer is 183.53-j14.12, but I don't understand how to get to that answer. Thanks in advance!


Homework Equations





The Attempt at a Solution


 
Physics news on Phys.org
1st step: multiply by -j25 * 12.5 * (15+j20)
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

How should I show that this root is given approximately by this?
Replies
2
Views
2K
Calculating Train Deceleration: Solving a Homework Problem in 4 Steps
Replies
2
Views
2K
If O is an event space, show for a finite number of events--
Replies
5
Views
2K
Local Formulation of Continuity
Replies
2
Views
2K
Find Functions: f o g = Iℝ (ℝ→ℝ)
Replies
21
Views
2K
Finding an expression for max distance in terms of theta
Replies
10
Views
3K
Is Every Open Neighborhood of a Limit Point in a T_1 Space Infinitely Populated?
Replies
2
Views
1K
Find the complex number which satisfies the given equation
Replies
6
Views
2K
Solving modified heat equation
Replies
5
Views
980
Solving systems of equations that contain complex numbers
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top