Electrical Circuit Analysis

This document provides solutions for various electrical circuit analysis problems. It covers topics such as Kirchhoff's laws, voltage division rule, and superposition theorem. The solutions include calculations for current, voltage, resistance, and power dissipation in different circuits.

1.
a)
The following charge waveform has shown in figure 1.
Determine the current at .
We know that,
The following waveform has q(t) at .
The following waveform has q(t) at T=4 sec.

The following waveform has q(t) at T=6 sec.
Hence, therefore the current has shown below.
b)
Determine the power dissipation by the resistor at t=1.5 seconds.

c)
Determine the heat energy produced by a resistor between 0 and 2 seconds.
2
a)
The following electrical circuit has shown in figure 2.
Now we apply Kirchhoffs voltage Law at loop 1, we get.
Now we apply Kirchhoffs voltage Law at loop 2, we get.
Determine the voltage

b)
Determine the current by using ohms law.
C)
Determine the current by using Kirchhoff's current law.
3)
The following data has given below.
Determine the area of the pipe.
We know that,
Determine the resistance of the pipe.

4)
The following electrical circuit has shown in figure 4.
Now we applying KCL at node V, we get.
Determine the voltage of by using voltage division rule, we get.

Determine the current .
5)
The following electrical circuit has shown in figure 5.
The following circuit has simplified.
The following circuit has simplified.

The following simplified circuit as shown in the below figure.
The following circuit has simplified.
The following circuit has simplified.

Determine the current .
6)
The following electrical circuit has shown in figure 6.
The following electrical circuit simplified by using of source transformations.
The simplified electrical circuit has shown in figure 6a.
The following electrical circuit simplified by using of source transformations.

The simplified electrical circuit has shown in figure 6b.
The following electrical circuit simplified by using of source transformations.
The simplified electrical circuit has shown in figure 6c.
The following electrical circuit simplified by using of source transformations.

The simplified electrical circuit has shown in figure 6d.
The following electrical circuit simplified by using of source transformations.
The simplified electrical circuit has shown in figure 6e.
Determine the current
Determine the voltage

7
a)
The following electrical circuit has shown in figure 7.
Now we apply KVL at loop1, we get.
Now we apply KVL at loop2, we get.
Now we apply KVL at loop3, we get.
Now we apply KCL at node-A, we get.

Now we apply KCL at Node-B, we get.
b)
Solve the KVL equation (1), (2) and (3), we get.
Solve the KCL equation (4) and (5), we get.

8)
The following electrical circuit has shown in figure 8a.
Now, we apply KCL at node Vth.we get.
The following electrical circuit has shown in figure 8b.

Determine the Thevenin equivalent resistance.
The following Thevenin equivalent circuit has shown in figure 8c.
9)
Now, we apply KCL at node Va.we get.
Now, we apply KCL at node Va.we get.

Now, we solve equation (1) and (2), we get.
Determine the Vb.
10)
The following circuit has shown in figure 10-a.
Determine the current by using superposition theorem.
The following circuit has shown in figure 10-b.

Determine the current by using superposition theorem.
The following circuit has shown in figure 10-c.
Determine the current by using superposition theorem.
Determine the current I.