1.a) Given, H = 25 sin (2n×106t – 6x) âz. Find the Electric Field. b) Draw a clear diagram showing an EM wave also write down the solution of the wave equation and write (in your own words) what each of the terms in the equation represent. 2. a) Write down major differences between general wave (i.e. sound wave) and EM wave. Explain the propagation of an EM wave with proper figure. b) An EM field is said to be nonexistent or not Maxwellian if it fails to satisfy Maxwell's equations and the wave equations derived from them. State whether the following field in free space is Maxwellian or not. E=100 sin (10°t+- 3 âz. If it is Maxwellian; find the magnetic field, H. 3. (a) Prove that B=yzä,+zxa,+xy a - is solenoidal (divergence free) and irrational (curl free). b)Can you determine electric field E at (210, 550, 765) due to a possible vector potential, V = (5x2 ) î+ (2y²)ĵ+ (4z²) k ? If not, state why.

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1.a) Given, H = 25 sin (2nx106 t – 6x) âz. Find the Electric Field.
b) Draw a clear diagram showing an EM wave also write down the solution of the wave
equation and write (in your own words) what each of the terms in the equation represent.
2.
a) Write down major differences between general wave (i.e. sound wave) and EM wave.
Explain the propagation of an EM wave with proper figure.
b) An EM field is said to be nonexistent or not Maxwellian if it fails to satisfy Maxwell's
equations and the wave equations derived from them. State whether the following field in free
space is Maxwellian or not.
E=100 sin ( 10°t+=
V3
If it is Maxwellian; find the magnetic field, H.
3.
B=yzâ,+zx â,+xyâ- js solenoidal (divergence free) and irrational (curl
(a) Prove that
free).
b)Can you determine electric field E at (210, 550, 765) due to a possible vector potential,
V = (5x? ) î+ (2y²)ĵ+ (4z²) k ? If not, state why.
Transcribed Image Text:1.a) Given, H = 25 sin (2nx106 t – 6x) âz. Find the Electric Field. b) Draw a clear diagram showing an EM wave also write down the solution of the wave equation and write (in your own words) what each of the terms in the equation represent. 2. a) Write down major differences between general wave (i.e. sound wave) and EM wave. Explain the propagation of an EM wave with proper figure. b) An EM field is said to be nonexistent or not Maxwellian if it fails to satisfy Maxwell's equations and the wave equations derived from them. State whether the following field in free space is Maxwellian or not. E=100 sin ( 10°t+= V3 If it is Maxwellian; find the magnetic field, H. 3. B=yzâ,+zx â,+xyâ- js solenoidal (divergence free) and irrational (curl (a) Prove that free). b)Can you determine electric field E at (210, 550, 765) due to a possible vector potential, V = (5x? ) î+ (2y²)ĵ+ (4z²) k ? If not, state why.
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