How do I convert c=9e^((-5/2)∏j) to component notation?

Click For Summary
To convert the expression c=9e^((-5/2)∏j) to component notation, understanding Euler's formula is essential, as it relates complex exponentials to trigonometric functions. The expression can be rewritten using Euler's formula, where e^(jθ) = cos(θ) + jsin(θ). The conversion involves identifying the real and imaginary parts of the expression. Participants in the discussion express uncertainty about the approach and seek clarification on applying complex numbers in this context. A clearer explanation of Euler's formula and its application to this problem is requested for better understanding.
Sastronaut
Messages
68
Reaction score
0

Homework Statement



Convert the following to component notation:

c=9e^((-5/2)∏j)

Homework Equations





The Attempt at a Solution


I am not very sure how to approach this problem...recently in my electronics course we discussed how we can us real and imaginary numbers and complex math...any help would be greatly appreciated; just a point in the right direction to get me started on the problem. thanks pf!
 
Physics news on Phys.org
Euler's formula - ring a bell?
 
that's a negative ghost rider...could you explain further voko? :)
 

Thread 'Magnitude of buoyant force in fluids of different densities'

The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?
View full post »

Similar threads

Why do we solve i and j components of a vector using trig?
  • · Replies 3 ·
Replies
3
Views
1K
AC Circuits: Solving for Impedance and Voltage in Complex Notation
  • · Replies 1 ·
Replies
1
Views
1K
Calculate the wavelength of electrons traveling at 1.15x10^5
  • · Replies 3 ·
Replies
3
Views
25K
Determine the components of P in the i, j, and k directions.
  • · Replies 3 ·
Replies
3
Views
10K
How Much Mass Converts to Energy in a Nuclear Plant Over a Month?
  • · Replies 2 ·
Replies
2
Views
2K
Solving for x in 0 = -1/8 + 3/8 x / (10^2 +x^2)^0.5
  • · Replies 10 ·
Replies
10
Views
3K
Undergrad Bounding modulus of complex logarithm times complex power function
  • · Replies 4 ·
Replies
4
Views
3K
Modeling the Driven Damped Oscillations in a Material
  • · Replies 7 ·
Replies
7
Views
2K
How to determine the magnitude of the electric force
  • · Replies 12 ·
Replies
12
Views
9K
Electrons and their little role in nuclear physics
  • · Replies 1 ·
Replies
1
Views
2K