A closed path through which electrons move to generate electric current is the electric circuit. There are three types of circuits: Series, Parallel, and Series-Parallel.
A node is any region on an electrical circuit present between two elements. Nodal analysis is a technique for studying node voltage as the circuit variable. Nodal analysis is also known as the node-voltage method. It is the mathematical method for calculating the voltage distribution between the nodes in a circuit. The below methods are used in the nodal analysis.
- Ohm’s law
- Kirchhoff’s voltage law
- Kirchhoff’s current law
The voltage across any two points of a node with negligible resistance is found using Ohm’s law:
V=IR=I*0=0
Types of nodes in the nodal analysis are:
- Non-reference node
- Reference node
The node with an actual node voltage is known as a non-reference node.
The reference node is also known as the datum node. The node behaves as a reference point to all the other nodes. Reference nodes are of the following types:
- Chassis ground
- Earth ground
Voltage source connected between two non-reference nodes so that these two nodes form a generalised node called a supernode. A supernode has no voltage of its own. A Supernode satisfies Kirchhoff’s Current Law (KCL) like a simple node. A supernode has no voltage of its own.
Read more: Nodal analysis.
Important Nodal Analysis Questions with Answers
1. What are the three types of circuits?
The three types of circuits are:
- Series circuit
- Parallel circuit
- Series-Parallel circuit
2. What is the use of a fuse?
A fuse avoids fires mishaps due to overloads by breaking the circuit.
3. A____ is any region on an electrical circuit present between two circuit elements.
- Point
- Node
- Breaker
- Region
Answer: b) Node
4. Nodal analysis is an application of ____
- Kepler’s planetary law
- Newton’s law
- Kirchhoff’s current law
- Faraday’s law
Answer: c) Kirchhoff’s current law
Explanation: Kirchhoff’s current law describes how a charge enters and leaves a node on a wire.
5. Fill in the blanks: When earth potential is used as a reference in any circuit, then this type of reference node is called____
- Earthing
- Planet node
- Earth Node
- Earth Ground
Answer: d) Earth Ground
6. To obtain all the node voltages, ____ should be solved.
- n
- n+1
- 2n
- n-1
Answer: d) n-1
Explanation: To have ‘n’ nodes, there will be ‘n-1’ simultaneous equations to solve.
7. Which is the formula of Ohm’s law?
- F=ma
- V=IR
- E=mc^2
- KE=1/2mv^2
Answer: b) V=IR
Explanation: Ohm’s law is given by the formula: V=IR
8. Which law is applied to the supernode?
- Faraday’s law
- Kirchhoff’s voltage law
- Kirchhoff’s current law
- Option b and c
Answer: d) Option b and c
Explanation: Kirchhoff’s voltage and Kirchhoff’s current laws are applied on a supernode.
9. The difference between the voltage of two non-reference nodes can be known by _____
- Node
- Supernode
- Junction
- Region
Answer: b) Supernode
Explanation: The supernode is a voltage source connected between the two non-reference nodes.
10. State true or false: A supernode does not have its voltage.
- TRUE
- FALSE
Answer: a) TRUE
Explanation: The voltage difference between two non-reference nodes is calculated at the supernode. Supernode will not possess any voltage.
Practice Questions
- What is an electric circuit?
- State and explain Kirchhoff’s voltage law and Kirchhoff’s current law.
- List the properties of supernode.
- List two features of nodal analysis.
- Define a node.
uestions – Practice Questions with Answers & Explanations
Comments