Q. 555.0( 3 Votes )

A long solenoid is fabricated by closely winding a wire of radius 0.5 mm over a cylindrical non-magnetic frame so that the successive turns nearly touch each other. What would be the magnetic field B at the center of the solenoid if it carries a current of 5A?

Answer :

Given:


Radius of cylinder(r) = 0.5 mm = 5 x 10-4 m


Current(i) = 5 A


Formula used:


Magnetic field inside a long solenoid B = μ0ni,


where


μ0 = magnetic permeability of vacuum = 4π x 10-7 T m A-1, n = number of turns per unit length, i = current carried by the wire


Now, width of each turn = diameter of the wire = (0.5 x 2) mm = 1 mm = 10-3 m.


Hence, number of turns per unit length(n) (per m) =103 = 1000


Therefore, substituting the values:


B (magnetic field at the center) = 4π x 10-7 x 1000 x 5 T


= 6.28 x 10-3 T (Ans)


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
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 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
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
Few Applications of Gauss's lawFew Applications of Gauss's lawFew Applications of Gauss's law54 mins
Tangent & Normal To A CurveTangent & Normal To A CurveTangent & Normal To A Curve53 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
Electric field inside cavityElectric field inside cavityElectric field inside cavity37 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 :