Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
164 views
in Physics by (113k points)
closed by
A current carrying straight wire is placed in a uniform magnetic field. The force experienced is maximum for
1. circular shaped wire
2. linear wire
3. square shaped wire
4. independent of shape of the wire

1 Answer

0 votes
by (114k points)
selected by
 
Best answer
Correct Answer - Option 4 : independent of shape of the wire

CONCEPT:

  • The flow of current in a conductor is due to the motion of free electrons in a definite direction.
    • When such a conductor is placed in a magnetic field, each electron moving in the uniform magnetic field experiences a force in a specific direction.
    • The direction of this force is given by fleming's left-hand rule.
  • Let us take a conductor of uniform cross-section A and length l. Let the number density of mobile charge carriers (electron, in this case) be n. So total mobile no of mobile charge carriers will be nlA.
  • In presence of an external magnetic field, force in these charge carriers is given by 

\(⇒ \overrightarrow{F}= nlAq \overrightarrow{v_{d}}× \overrightarrow{B}\)
Where q is the charge and B is the external magnetic field, |nqvd|A is the current I flowing through the conductor. 

  • Magnetic force in a current-carrying conductor is given by

\(⇒ \overrightarrow{F}= I \overrightarrow{l}× \overrightarrow{B}\)
Where \(\vec{F}\) is the magnetic force\(\vec{B}\) is the magnetic field, \(\vec{l}\)is the length of the conductor, and I is the current flowing through the conductor, and θ is the angle between the length of the conductor (in direction of current flow) and magnetic field.

EXPLANATION:

  • Magnetic force in a current-carrying conductor is given by

\(\Rightarrow F = Il B\sin \theta \)

  • The magnetic force depends upon:
    1. length of the current-carrying  conductor
    2. current in the conductor
    3. magnetic field
    4. the angle between the magnetic field and the length of the current element.
  • So the magnetic force is independent of the shape of the wire. Hence option 4 is correct.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...