
The four wires from a larger circuit intersect at junction A as shown. What is the magnitude and direction of the current between points A and B?

A. 2A from A to B
B. 2A from B to A
C. 3A from A to B
D. 2A from B to A
Answer
161.1k+ views
Hint: Kirchhoff's current law stipulates that the total current that passes into and out of a terminal or junction in an electric circuit must be equal. Kirchhoff's current law is thought to be a result of charge conservation.
Formula used:
All currents entering and exiting a node must have an algebraic sum of zero.
\[\sum I = 0\]
Complete answer:
We have been provided in the question that,
The four wires from a larger circuit intersect at junction A as shown in the given circuit as below

According to Kirchhoff's junction rule, all currents flowing into and out of a branch point have an algebraic sum of zero, or
\[\sum I = 0\].
Conventionally, current leaving a junction has a negative sign while current entering one has a positive sign.
Thus, \[4 + 5 - 6 = 3A\] at junction A. Since it is positive, current \[3A\] will flow from point A to point B.
Therefore, the correct option is C.
Note:For students doing these types of problems, it is necessary to master the electrical laws related with the circuits while studying them. Kirchhoff's law of electric circuits is widely regarded as the foundation of electric circuits and circuit analysis. Kirchhoff’s law can be used to calculate the values of electrical components such as resistors, inductors, and so on.
Formula used:
All currents entering and exiting a node must have an algebraic sum of zero.
\[\sum I = 0\]
Complete answer:
We have been provided in the question that,
The four wires from a larger circuit intersect at junction A as shown in the given circuit as below

According to Kirchhoff's junction rule, all currents flowing into and out of a branch point have an algebraic sum of zero, or
\[\sum I = 0\].
Conventionally, current leaving a junction has a negative sign while current entering one has a positive sign.
Thus, \[4 + 5 - 6 = 3A\] at junction A. Since it is positive, current \[3A\] will flow from point A to point B.
Therefore, the correct option is C.
Note:For students doing these types of problems, it is necessary to master the electrical laws related with the circuits while studying them. Kirchhoff's law of electric circuits is widely regarded as the foundation of electric circuits and circuit analysis. Kirchhoff’s law can be used to calculate the values of electrical components such as resistors, inductors, and so on.
Recently Updated Pages
JEE Main 2021 July 25 Shift 1 Question Paper with Answer Key

JEE Main 2021 July 22 Shift 2 Question Paper with Answer Key

Young's Double Slit Experiment Step by Step Derivation

JEE Electricity and Magnetism Important Concepts and Tips for Exam Preparation

JEE Energetics Important Concepts and Tips for Exam Preparation

JEE Isolation, Preparation and Properties of Non-metals Important Concepts and Tips for Exam Preparation

Trending doubts
JEE Main 2025 Session 2: Application Form (Out), Exam Dates (Released), Eligibility, & More

JEE Main 2025: Derivation of Equation of Trajectory in Physics

Electric Field Due to Uniformly Charged Ring for JEE Main 2025 - Formula and Derivation

Electric field due to uniformly charged sphere class 12 physics JEE_Main

Displacement-Time Graph and Velocity-Time Graph for JEE

Uniform Acceleration

Other Pages
JEE Advanced Marks vs Ranks 2025: Understanding Category-wise Qualifying Marks and Previous Year Cut-offs

JEE Advanced 2025: Dates, Registration, Syllabus, Eligibility Criteria and More

JEE Advanced Weightage 2025 Chapter-Wise for Physics, Maths and Chemistry

Degree of Dissociation and Its Formula With Solved Example for JEE

Free Radical Substitution Mechanism of Alkanes for JEE Main 2025

If a wire of resistance R is stretched to double of class 12 physics JEE_Main
