# Massachusetts institute of Technology Department of Nuclear Science and Engineering ```Massachusetts institute of Technology
Department of Nuclear Science and Engineering
Department of Electrical Engineering and Computer Science
22.071/6.071 - Introduction to Electronics, Signals and Measurement
Spring 2006
Homework 5
Due 3/15/06
Problem 1.
For dc operation determine the energy stored in the 0.1F capacitor
C1
R1
1k Ω
I1
1A
0.1 F
R2
R3
1k Ω
R4
1k Ω
1k Ω
Problem 2.
Under dc conditions calculate the current i and the voltage v for the following circuit
i
L1
3mH
I1
1mA
R1
1k Ω
+
v
-
C1
0.1 F
R2
10k Ω
Problem 3.
The voltage across a 5 mH inductor is 5 (1 − exp [ −.5t ]) Volts. Calculate the current
through the inductor and the energy stored in the inductor at time t=2 sec.
Problem 4.
A device outputs the square wave current waveform shown below on Figure 4(a). It is
desired to obtain the triangular voltage waveform shown on Figure 4(b).
i (mA)
v (V)
10
12
1
2
3
4
5 t (sec)
3
1
2
3
4
5
t (sec)
4(b)
4(a)
What device/element would you use and what are its characteristics including its initial
state?
Problem 5.
Determine the Thevenin and the Norton equivalent circuits seen through ports a-b of the
following networks.
a
i
10i
I1
R1
R2
1A
1k Ω
20k Ω
b
R1
2v
a
5k Ω
0.1v
R3
20k Ω
+
R2
10k Ω
v
-
b
```