7-1 Find the function i(t) that satisfies the following differential equation and the initial condition: 1000 di(r) dt +50ki(t) = 0, i(0) = 50 mA

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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FIRST-ORDER CIRCUIT ANALYSIS
(SECTS. 7-1 TO 7-4)
Given a first-order RC or RL circuit:
(a) Find the circuit differential equation, the circuit time con-
stant, and the initial conditions (if not given).
(b) Find the zero-input response.
(c) Find the complete response for step function, exponential,
and sinusoidal inputs.
See Examples 7-1 to 7-7, 7-9 to 7-11, 7-15, and 7-16 and
Exercises 7-1 to 7-7, 7-9 to 7-13, 7-15, and 7-17 to 7-21.
7-1 Find the function i(t) that satisfies the following differential
equation and the initial condition:
1000 di(r)
dt
+ 50ki(t) = 0, i(0) = 50 mA
Transcribed Image Text:FIRST-ORDER CIRCUIT ANALYSIS (SECTS. 7-1 TO 7-4) Given a first-order RC or RL circuit: (a) Find the circuit differential equation, the circuit time con- stant, and the initial conditions (if not given). (b) Find the zero-input response. (c) Find the complete response for step function, exponential, and sinusoidal inputs. See Examples 7-1 to 7-7, 7-9 to 7-11, 7-15, and 7-16 and Exercises 7-1 to 7-7, 7-9 to 7-13, 7-15, and 7-17 to 7-21. 7-1 Find the function i(t) that satisfies the following differential equation and the initial condition: 1000 di(r) dt + 50ki(t) = 0, i(0) = 50 mA
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