hw15b_17b.pdf - ECE 2210 homework 15 Due 1 Read the Second-Order Transcients handout V o s 2 Find the transfer function H s = for these circuits V i s a

# hw15b_17b.pdf - ECE 2210 homework 15 Due 1 Read the...

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ECE 2210 homework # 15 Due: b 1. Read the Second-Order Transcients handout. 2. Find the transfer function H ( ) s = V o ( ) s V i ( ) s for these circuits. Write H ( s ) in the normal form, as shown below. a) + ... + k n 1 H ( ) s = . K s n . k 1 s n 1 s m . c 1 s m 1 + ... + c m 1 C C L b) V i ( ) s V o ( ) s V i ( ) s R L V o ( ) s R 3. Write the characteristic equation for each of the circuits in problem 2. R . 240 4. For the circuit shown, with a disconnected source: a) Find the generalized impedance of the circuit, Z (s) . Z ( ) s b) What is the impedance at s = 0 ? V in . 24 V C . 5 μ F L . 4 mH c) What is the impedance at s = ? d) When the switch is closed, current will begin to flow. The voltage source is the input and the current (through R ) can be considered the "output" (i.e. caused by the input). Find the transfer function and the natural frequencies of the circuit ( s solutions to the characteristic equation). e) What is the character of the response (undamped, underdamped, critically damped, or overdamped)? f) Find the initial values of all three currents.

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