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This document contains the exam questions and solutions for Physics 115, focusing on electric forces, fields, and potentials as well as capacitor-related calculations.

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People Also Ask about

What is the FFT formula?

Description. Y = fft( X ) computes the discrete Fourier transform (DFT) of X using a fast Fourier transform (FFT) algorithm. Y is the same size as X . If X is a vector, then fft(X) returns the Fourier transform of the vector.

What is the Fourier equation?

The fourier series formula of the function f(x) in the interval [-L, L], i.e. -L ≤ x ≤ L is given by: f(x) = A_0 + ∑_{n = 1}^{∞} A_n cos(nπx/L) + ∑_{n = 1}^{∞} B_n sin(nπx/L)

What is the Fourier transform formula?

In signal processing, the Fourier transform can reveal important characteristics of a signal, namely, its frequency components. The Fourier transform is defined for a vector x with n uniformly sampled points by. y k + 1 = ∑ j = 0 n - 1 ω j k x j + 1 .

How to write Fourier transform f?

The function F(k) is the Fourier transform of f(x). The inverse transform of F(k) is given by the formula (2). (Note that there are other conventions used to define the Fourier transform). Instead of capital letters, we often use the notation ˆf(k) for the Fourier transform, and ˇF(x) for the inverse transform.

What is the Fourier transform in simple terms?

The Fourier Transform is a mathematical technique that transforms a function of time, x(t), to a function of frequency, X(ω). It is closely related to the Fourier Series.

How does Fourier transform work?

In mathematics, the Fourier transform (FT) is an integral transform that takes a function as input, and outputs another function that describes the extent to which various frequencies are present in the original function. The output of the transform is a complex-valued function of frequency.

What is J in Fourier transform?

But can you please me what the >term 'j' stands for in the Fourier transform when we multiply our signal >(be it in time or frequency domain) by an imaginary/complex exponential >function. j*j = -1 or j is the complex number with unit magnitude and real part equal to zero.

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