Q. 73.8( 40 Votes )

Two long and parallel straight wires A and B carrying currents of 8.0 A and 5.0 A in the same direction are separated by a distance of 4.0 cm. Estimate the force on a 10 cm section of wire A.

Answer :

Given:


Current in wire A, IA = 8.0 A


Current in wire B, IB = 5.0 A


Distance between the conductors A and B, d = 4 cm


Length of conductor on which we have to calculate force, L = 10cm



Intuitively we can break the problem into two parts,


1) the magnetic field due to wire A, at a distance d.


2) Then we introduce a current carrying conductor B, at distance d and find the force on it due to field created by wire A.


1) Field at distance d due to current IA in conductor A is given by,


…(1)


Where,


B = Magnetic field strength


I = current through the coil


0 is the permeability of free space.


0 = 4 × π × 10-7 TmA-1


d = distance of point P


By plugging the values in the equation (1), we get



|B| = 3.18 × 10-6T


2) Force on a current carrying conductor due to a magnetic field is given by


F = B × IB × L …(2)


Now by putting the values in equation (2) we get,


F = 3.18 × 10-6T × 5A × 0.1 m


F = 2 × 10-5N


So, the force on the 10 cm section on wire A is 2 × 10-5N. Since the current is flowing in the same direction the force will be attractive in nature.


Note: The force will be same on both the wires, we can use Newton’s third law of motion to such conclusion.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Magnetic force on moving charge particle in magnetic fieldMagnetic force on moving charge particle in magnetic fieldMagnetic force on moving charge particle in magnetic field44 mins
Interactive Quiz on Magnetic field due to straight wire & circular loopInteractive Quiz on Magnetic field due to straight wire & circular loopInteractive Quiz on Magnetic field due to straight wire & circular loop41 mins
Master concept of Motional EMFMaster concept of Motional EMFMaster concept of Motional EMF51 mins
Magnetic field due to current carrying straight wireMagnetic field due to current carrying straight wireMagnetic field due to current carrying straight wire37 mins
Magnetic field due to current carrying circular loopMagnetic field due to current carrying circular loopMagnetic field due to current carrying circular loop36 mins
Interactive Quiz of Moving Charge and magnetismInteractive Quiz of Moving Charge and magnetismInteractive Quiz of Moving Charge and magnetism53 mins
CyclotronCyclotronCyclotron37 mins
Equation of electric and magnetic fieldEquation of electric and magnetic fieldEquation of electric and magnetic field52 mins
Magnetic force on moving charge particle in magnetic field | QuizMagnetic force on moving charge particle in magnetic field | QuizMagnetic force on moving charge particle in magnetic field | Quiz32 mins
Lorentz force & its applicationsLorentz force & its applicationsLorentz force & its applications33 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :