Answer :

Given:


Current = i


Length of rod = l


Velocity = v


Distance of centre of rod from wire = x


Hence, the two ends of the rod are at distances and from the wire


Diagram:



Formula used:


We consider an element of length da at a distance of ‘a’ from the wire.


Now, magnetic field due to an infinite current carrying wire at a distance a … (i), where μ0 = magnetic permeability of vacuum, i = current, a = distance from wire.


Therefore, emf induced in the element … (ii), where B = magnetic field, da = element, v = velocity


Hence, putting (i) in (ii), we get



Integrating on both sides and putting suitable limits, we get



(ans)


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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 :

Figure showHC Verma - Concepts of Physics Part 2

A conductinHC Verma - Concepts of Physics Part 2

A conductinHC Verma - Concepts of Physics Part 2

Consider a metallPhysics - Exemplar

Figure showHC Verma - Concepts of Physics Part 2

A metallic bob A HC Verma - Concepts of Physics Part 2

The magnetiHC Verma - Concepts of Physics Part 2

Consider the follHC Verma - Concepts of Physics Part 2

<span lang="EN-USHC Verma - Concepts of Physics Part 2

The currentHC Verma - Concepts of Physics Part 2