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CBSE Class 12-science Answered

Electromagnetic wave having magnetic field B(x, y, z,t) = B, sin (x+y) where k is wave vector. Calculate its electric field
Asked by shindesourabh1507 | 24 Jan, 2021, 01:29: PM
answered-by-expert Expert Answer
Expression given for magnetic field in the posted question is not proper. 
 
Magnitude of Magnetic field of electromagnetic wave is of the form 
 
B(x,y,z, t ) = Bo sin (begin mathsize 14px style k with rightwards arrow on top times r with rightwards arrow on top end style - ω t ) ..........................(1)
where begin mathsize 14px style k with rightwards arrow on top end style is wave vector and begin mathsize 14px style r with rightwards arrow on top end style is vector along the direction of propagation. 
Amplitude of Electric field  and amplitide of magnetic field are related as  , Bo = ( Eo / c )
where c is speed of electromagnetic field
 
If amplitude of magnetic field Bo is known , then Electric field of electromagnetic wave corresponding to the magnetic field
given in eqn.(1) is given as
 
E(x,y,z, t ) = ( Bo × c ) sin (begin mathsize 14px style k with rightwards arrow on top times r with rightwards arrow on top end style - ω t ) ..........................(1)
Answered by Thiyagarajan K | 24 Jan, 2021, 03:02: PM

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