Q. 12

A circular loop of radius a, carrying a current i, is placed in a two-dimensional magnetic field. The centre of the loop coincides with the centre of the field figure. The strength of the magnetic field at the periphery of the loop is B. Find the magnetic force on the wire.



Answer :


Given –


circular loop of radius = a


So, the length of the loop is its circumference ,




Electric current through the loop = i



Given that the loop is placed in a two-dimensional magnetic field.


Also the centre of the loop coincides with the centre of the field.


The strength of the magnetic field at the periphery of the loop is B


Hence, the direction of the magnetic is radially outwards.



Here, the angle between the length of the loop and the magnetic field, θ = 900




where,


B= magnetic field


I = current


l = length of the wire


and θ = the angle between B and l





The direction of force can be found using Fleming’s left-hand rule -



whenever a current carrying conductor is placed inside a magnetic field, a force acts on the conductor, in a direction perpendicular to both the directions of the current and the magnetic field


Thus, the direction of magnetic force lies perpendicular to the plane pointing inwards.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
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
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
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
Superfast Revision of Potential & Potenial Energy (Theory + Interactive Quiz)Superfast Revision of Potential & Potenial Energy (Theory + Interactive Quiz)Superfast Revision of Potential & Potenial Energy (Theory + Interactive Quiz)47 mins
Few Applications of Gauss's lawFew Applications of Gauss's lawFew Applications of Gauss's law54 mins
Gain Confidence on Magnetic Effects of Current with QuestionsGain Confidence on Magnetic Effects of Current with QuestionsGain Confidence on Magnetic Effects of Current with Questions41 mins
Electric field inside cavityElectric field inside cavityElectric field inside cavity37 mins
10 Problems on related to Electric Field & Charges10 Problems on related to Electric Field & Charges10 Problems on related to Electric Field & Charges41 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 :