What would be the correct equation representing Kirchhoff’s Current Law (KCL) at node a for the given network?

F1 U.B 18.9.20 Pallavi D5

This question was previously asked in
PGCIL Diploma Trainee EE Official Paper held on 13 September 2018
View all PGCIL Diploma Trainee Papers >
  1. i1 – i2 + i3 – i4 = 0
  2. i1 + i2 – i3 + i4 = 0
  3. i1 – i2 – i3 + i4 = 0
  4. i1 – i2 = 0

Answer (Detailed Solution Below)

Option 3 : i1 – i2 – i3 + i4 = 0
Free
PGCI DT EE Power System Mock Test
6.1 K Users
20 Questions 20 Marks 15 Mins

Detailed Solution

Download Solution PDF

CONCEPT:

  • Kirchhoff’s Current Law:  The total current entering a junction or a node is equal to the charge leaving the node as no charge is lost.
  • The algebraic sum of every current entering and leaving the node has to be null. This property of Kirchhoff law is commonly known as Conservation of charge.
  • Node: Node is a point in a network where two or more circuit elements are connected.

I1 + i2 + i3 + i4 + i5 = 0

EXPLANATION:

Calculation:

By applying KCL, at node a

F1 U.B 18.9.20 Pallavi D5

i1 – i2 – i3 + i4 = 0

Additional Information

KVL: It states that the algebraic sum of all voltages around any closed loop in a circuit must equal zero.

F1 Shraddha Jai 16.01.2021 D17

KVL: Vs – IR1 – IR2 = 0

Latest PGCIL Diploma Trainee Updates

Last updated on May 9, 2025

-> PGCIL Diploma Trainee result 2025 will be released in the third week of May. 

-> The PGCIL Diploma Trainee Answer key 2025 has been released on 12th April. Candidates can raise objection from 12 April to 14 April 2025.

-> The PGCIL DT Exam was conducted on 11 April 2025. 

-> Candidates had applied online from 21st October 2024 to 19th November 2024.

-> A total of 666 vacancies have been released.

-> Candidates between 18 -27 years of age, with a diploma in the concerned stream are eligible.

-> Attempt PGCIL Diploma Trainee Previous Year Papers for good preparation.

Get Free Access Now
Hot Links: teen patti royal teen patti gold downloadable content teen patti master downloadable content teen patti palace teen patti dhani