AMME 2700 Instrumentation Assignment 1: Detailed Solution and Analysis

This document provides a detailed solution to AMME 2700 Instrumentation Assignment 1, covering a range of electrical engineering concepts. The solution includes calculations and explanations for problems involving circuit analysis, Kirchhoff's Current Law (KCL), Kirchhoff's Voltage Law (KVL), Thevenin and Norton equivalent circuits, power consumption in circuit elements, energy stored in capacitors and inductors, and current and voltage analysis in various circuits. The problems address finding currents, voltages, power, and energy in circuits with resistors, capacitors, and inductors, as well as determining equivalent resistances and inductances. This assignment solution is designed to help students understand and apply fundamental electrical engineering principles. Desklib offers a wide range of solved assignments and study resources for students.

Question 1
The following mathematical expression shown in below,
We know that,
1)
Determine the current i(t).
The following wave has shown in figure 1-a.
2)
Determine the power consumed by the element for t>0;

Therefore,
3)
The following energy equation has shown in below,
Determine the total energy.
Total energy=energy consumed by 0 to 4320 + energy consumed after 43200 sec.
QUESTION 2
Calculate the power consumed by each element.
Determine the power
Determine the power
Determine the power
Determine the power

Determine the power
Determine the power
2)
The following electrical circuit has wrong direction in element ‘b’ to ‘d’
Now, we find the wrong direction of current by applying KCL at node “a”.
The alzebric sum of the current at node “a” should zero to satiesfied the KCL equation.
The alzebric sum of the current at node “b” should zero to satiesfied the KCL equation.
The alzebric sum of the current at node “c” should zero to satiesfied the KCL equation.

3)
The element at reference direction has been reversed; the circuit has been shown in below figure
2b.
Calculate the power consumed by each element.
Determine the power
Determine the power
Determine the power
Determine the power
Determine the power
Determine the power

Question 3
1)
The following circuit diagram has shown in below figure 3a.
Applying kirchhoff’s current law at node 1.
Applying KCL at node 2, we get.
Applying KCL at node 5 , we get.
The power consumed by the 6 ohm resistance.
The power consumed by the 8 ohm resistance.

The power consumed by the 5 ohm resistance.
The power consumed by the 20 ohm resistance.
Question 4
The following circuit diagram has shown in figure 4a.
Applying KCL at node 1.
Applying KCL at node 3.
Applying KCL at node 2.

Determine the value of resistance Ra.
Determine the value of resistance .
Determine the value of resistance .
2)
Applying KVL at loop-1.
Applying KVL at loop2
Applying KVL at loop-3.
Determine the power supplied by each element.

3)
The power consumed by each resistor.
QUESTION 5
1)
The following circuit has shown in figure 5a.

The equivalent circuit diagram has shown in figure 5b.
Determine the equivalent resistance.
2)
The following circuit diagram has shown in below figure 5c.

Applying Kcl at node 1.
Determine the voltage across the 20 ohm resistance.
Determine the voltage across
Determine the current
Question 6
The following circuit has shown in figure 6.

Determine the value of voltage v1, v2 and v3.
The following equation (1),(2) and (3) solve, we get it.

The current passes through 20 ohm resistance.
The current passes through 25 ohm resistance.
The current passes through 40 ohm resistance.
The current passes through 50 ohm resistance.
The current passes through 10 ohm resistance.

Question 7
The following electrical circuit has branch current equal to loop current.
Hence, the mesh current has shown in below.

Determine the output voltage
Question 8
1)
Determine the voltage across terminal A and B.
We applying voltage division rule across 32 ohm. We get.
We applying voltage division rule across 30 ohm. We get.
Calculate voltage across terminal A and B.

Calculate the resistance across the terminal A and B. We get.
The following Thevenin equivalent circuit has shown in figure 8a.
2)
Determine the Norton eqivalent current .
The following Norton equivalent circuit has shown in figure 8b.

3)
Determine the current.
Question 9

1)
The following data has given below.
Determine the energy stored by each capacitor before switch open.
The energy stored by each capacitor when switch has been open.
The energy has been stored in 80uf,
2)

The energy stored by each capacitor is after switch has been open.
3)
The energy stored by parallel capacitor after switch has been open.
Determine energy stored by capacitor after switch has opened.
Question 10
The following data has given below.
1)
Determine the inductor current

Voltage across the inductor has
Determine the current
2)
Determine the energy stored by each inductor at 200ms after the switch has been closed.

3)
Determine the equivalent inductance.
Determine the total inductor current.

Determine the energy stored by two parallel inductors.