1. a) Given that E = 15a, charge density at that point? Assume ɛ=ɛ0 b) Evaluate V X A and V VX A if: 8a, V/m at a point on a conductor surface, what is the surface A = x²yax + sinxya, cos? xza,

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1. a) Given that E = 15a, – 8a, V/m at a point on a conductor surface, what is the surface
charge density at that point? Assume ɛ=ɛ0
b) Evaluate V X A and V- VX A if:
A = x²ya, + sinxya, - cos?xza,
2. For time varying fields: Find which of the following equations do not satisfy Maxwell's Equation.
Also state why the expression/s don't satisfy Maxwell's Equation? (Show Calculation)
др
a. V.J +
=D0
at
b. V.D = Pv
дв
С.
V· E =
at
S(GE + e) · dš
d. $H· dī
e. $B- dš
3. a) Describe in details the physical meaning of curl using example and proper diagram.
at
b) Derive the integral form of Maxwell's curl equations from their differential forms using
Stokes' curl Theorem.
Transcribed Image Text:1. a) Given that E = 15a, – 8a, V/m at a point on a conductor surface, what is the surface charge density at that point? Assume ɛ=ɛ0 b) Evaluate V X A and V- VX A if: A = x²ya, + sinxya, - cos?xza, 2. For time varying fields: Find which of the following equations do not satisfy Maxwell's Equation. Also state why the expression/s don't satisfy Maxwell's Equation? (Show Calculation) др a. V.J + =D0 at b. V.D = Pv дв С. V· E = at S(GE + e) · dš d. $H· dī e. $B- dš 3. a) Describe in details the physical meaning of curl using example and proper diagram. at b) Derive the integral form of Maxwell's curl equations from their differential forms using Stokes' curl Theorem.
4.
Given a vector field F = xy a, - 2x a, find its circulation around the path OABO shown in the
Diagram
Y =3
A
[hint: equation of a quarter circle x? +y? =9,(x 2 0, y< 3)].
5. An electric field is given by
E = 10 cos(108t – 10x +)a, , in source free region.
Find
a) D
b) Jd
c) H
d) B
Transcribed Image Text:4. Given a vector field F = xy a, - 2x a, find its circulation around the path OABO shown in the Diagram Y =3 A [hint: equation of a quarter circle x? +y? =9,(x 2 0, y< 3)]. 5. An electric field is given by E = 10 cos(108t – 10x +)a, , in source free region. Find a) D b) Jd c) H d) B
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