2260

Unit 2

N. Cotter

STUDY GUIDE*

Learning Objective

Reading

Filters

RC and RL filters

Example 1 (pdf)

Example 2 (pdf)

Example 3 | (pdf)

2.1    Calculate transfer functions, cutoff frequencies, and outputs for passive low-pass and high-pass RC and RL filters. Qualitatively sketch frequency responses of these filters.

Chap 13

Sec   13.4-

         13.7

Chap 14

Sec   14.1-

         14.3

Filters

RLC filters

Frequency response

Example 1 (pdf)

Example 2 (pdf)

Example 3 | (pdf)

LC resonance | (pdf)

Example | (pdf)

Qualitative response | (pdf)

Example 1 | (pdf)

Example 2 (pdf)

Example 3 | (pdf)

Example 4 | (pdf)

Example 5 | (pdf)

2.2    For RLC passive bandpass and bandreject filters, calculate the transfer function, the resonant frequency, the cutoff frequencies, the bandwidth, and the quality factor. Qualitatively sketch frequency responses of these filters and explain how R, L, and C affect the frequency response.

Chap 14

Sec   14.4-

         14.5

Fourier Series

Example series

Example 1 (pdf)

Example 2 (pdf)

Example 3 (pdf)

2.3    Find numerical values for the coefficients of the Fourier series of a given periodic function. (You may use integral tables.)

Chap 16

Sec   16.1-

         16.2

Fourier Series

SymmetrY

Example 1 | (pdf)

Example 2 | (pdf)

Example 3 | (pdf)

2.4    Determine whether a given function is odd, even, or neither, and whether its Fourier coefficients will contain only sine terms, or only cosine terms, or both.

          Determine whether a given periodic function possesses half-wave symmetry, and whether its Fourier series contains odd harmonics, even harmonics, or both.

          Determine whether a given periodic function possesses quarter-wave symmetry, and what effect this has on its Fourier coefficients.

Chap 16

Sec   16.3

Fourier Series

Circuit response

Example (pdf)

2.5    Calculate voltages and currents in circuits excited by nonsinusoidal periodic sources.

Chap 16

Sec   16.5

Fourier Series

Power

Example | (pdf)

2.6    Calculate ave power in terms of Fourier series using .

Chap 16

Sec   16.6