7-3 Find the time constants of the circuits in Figure P7-3. 250 mH 250 2 mm 330 Ω Σ 250 mH www C1 1.5 mH m 470 92 Ω : 250 Ω 5 mH C2 FIGURE P7-3 1.5 mH

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Help with hw circuit problem please. Thank you!

JECTIV
(SECTS. 7-1 TO 7-4)
FIRST-ORDER CIRCUIT ANALYSIS
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.
SS 7-1nd the function i(t) that satisfies the following differential
equation and the initial condition:
1000 +50ki(t) = 0, i(0)=0 mA
di(t)
dt
7-2 Find the function (t) that satines the following differen-
tial equation and itial condition:
10-4dv
dt
+v(t)=0, v(0) = 100 V
S7-3 Find the time constants of the circuits in Figure P7-3.
250 mH 250 22
mm
330 ΩΣ
250 mH
C1
1.5 mH
m
470 Ω
• 250 Ω
5 mH
C2
FIGURE P7-3
21.5 mH
Transcribed Image Text:JECTIV (SECTS. 7-1 TO 7-4) FIRST-ORDER CIRCUIT ANALYSIS 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. SS 7-1nd the function i(t) that satisfies the following differential equation and the initial condition: 1000 +50ki(t) = 0, i(0)=0 mA di(t) dt 7-2 Find the function (t) that satines the following differen- tial equation and itial condition: 10-4dv dt +v(t)=0, v(0) = 100 V S7-3 Find the time constants of the circuits in Figure P7-3. 250 mH 250 22 mm 330 ΩΣ 250 mH C1 1.5 mH m 470 Ω • 250 Ω 5 mH C2 FIGURE P7-3 21.5 mH
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