47 reactions | Deriving the formula for maximum power transfer to a load resistance. This use case goes to show the great importance of the Thévenin equivalent as a circuit analysis tool. #electrical #electricalengineering #electronics #electronic #powersystems #powerengineering #math #calculus | ElectricalMath | Facebook

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Euler’s formula is one of those math ideas that feels almost too perfect to be real. It says that e to the power of i times x equals cos(x) plus i times sin(x). That might sound a bit technical, but what it really does is connect three very different parts of math—exponentials, imaginary numbers, and trigonometry—all in one clean equation. It shows up all over the place, from electrical engineering to quantum physics, and helps make sense of how waves and rotations work in the complex plane. One