Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • A metal sample carrying a current along X-axis with density Jx  is subjected to a magnetic field Bz (along z-axis). The electric field Ey&

A metal sample carrying a current along X-axis with density Jx  is subjected to a magnetic field Bz (along z-axis). The electric field Ey developed along Y-axis is directly proportional to Jx as well as Bz. The constant of proportionality has SI unit. 

Option: 1

\frac{m^{2}}{A}
 


Option: 2

\frac{m^{3}}{As}


Option: 3

\frac{m^{2}}{As}

 


Option: 4

\frac{As}{m^{3}}


Answers (1)

best_answer

 

 

 

 

 

 

 

Given: $E_{y} \ \alpha \ J_{x}$  and $E_{y} \ \ \alpha \ \ \ B_{Z}$
\Rightarrow $E_{y} \ \ \alpha \ \ J_{x} B_{Z}$
$\Rightarrow E_{y}=K J_{x} B_{Z}$(Where K constant of proportionality)

By Dimensional analysis we have; 

\left[E_{y}\right]=\left[K J_{x} B_{Z}\right]$ $\Rightarrow[K]=\frac{\left[E_{y}\right]}{\left[J_{x} B_{Z}\right]}= \frac{[C]}{[J_x]}$ \\ $\Rightarrow[K]=\frac{\left[L^{3}\right]}{\left[A^{1} T^{1}\right]} \rightarrow$ Dimensional formual of $\mathrm{K}$\\ So, S.I unit of K will be : $\frac{m^{3}}{A s}

Posted by

Pankaj Sanodiya

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JoSAA Counselling 2025 LIVE: BTech registration starts at josaa.nic.in for IIT, NIT, IIIT admissions
anam-khan

Kota: 17-year old student from UP preparing for JEE dies of electrocution in hostel
anam-khan

CSAB 2025 counselling dates out for special, supernumerary rounds through JEE Mains

Latest Question