Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
Advertisement Remove all ads

And → E and → B Denote Electric and Magnetic Fields in a Frame S and → E → and → B in Another Frame S' Moving with Respect to S at a Velocity → V Two of the Following - Physics

Short Note

 and ```vecE` and  `vecB`denote electric and magnetic fields in a frame S and `vecE`→ and `vecB` in another frame S' moving with respect to S at a velocity `vecV` Two of the following equations are wrong. Identify them.
(a) `B_y^, =  B_y + (vE_z)/c^2`

(b) `E_y^' = E_y - (vB_z)/(c^2)`

`(c) Ey = By + vE_z`

`(d) E_y = E_y + vB_z`

Advertisement Remove all ads

Solution

(b) `E_y^' = E_y - (vB_z)/(c^2)`

`(c) Ey = By + vE_z`
Electric force due to a charged particle is q E and magnetic force is q V B.

We can sort out the two wrong equations using dimensional analysis. Now, equating the above two forces. we get:

E = V B

Hence, analysing the answers using dimensional analysis, we see that the second term on the RHS of the equations (b) and (c) are not dimensionally correct. Thus, the options (b) and (c) are wrong.

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 12 Magnetic Field
MCQ | Q 10 | Page 230
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×