Example 1 - Impedance for Inductor
v
Derive the ratio . Can this be simplified in general? What happens if
i
5
j 4 0 j 5t
i 3e e , a complex sinusoid of magnitude 3, phase 4 0 at
Hz . Note
2
I
0
that I 3e j 4 is sometimes called the phasor.
L
i
v
v Li L
d
Transient - Example 1
t 0
3
0
i L 0
5
7
5i L
t 0
iL
5
3
KVL gives 3 5i L 7i L
7
Note : solving differential eqn. not examinable
7i L
5
t
3
i L k1 e 7
5
5
0
3
3
3
Using current continuity for inductor, i L 0 k1e 7 k1 0 or k1
5
5
5
Means i L cannot jump
Load for Wasting No and All Power
Units in V, A,
0.5
R
1.5
Akaline battery model
Load
A battery with an equivalent circuit shown is driving
a load with a resistance of R. Find out the power
absorded by the load, and the power wasted and so
appearing as h
Resistors in Parallel
Determine the relationsh ip between i and v from first principle. What is
equivalent resistance of the parallel combinatio n?
v
i
6
3
Units in V, A,
Voltage Division
Determine v3 and v6 from first principle.
3
v3
8
6
Units in V, A,
Example 1 - Impedance for Inductor
v
Derive the ratio . Can this be simplified in general? What happens if
i
5
j 4 0 j 5t
i 3e e , a complex sinusoid of magnitude 3, phase 4 0 at
Hz . Note
2
I
0
that I 3e j 4 is sometimes called the phasor.
L
i
v
Example