If the retarded scalar electric potential (V) is given by V=(z+vt) and the +2t a,, where vo 5z is the vector magnetic potential (A) is given by A= A = ( 5² +21)ä, Vo velocity of propagation. (a) Find divergence of vector magnetic potential, V.A (b) Find the marantic flux density, B (c) Find the marantic field intensity, A (d) Find the electric field intensity, E (e) Find the electric flux density, D

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If the retarded scalar electric potential (V) is given by \( V = (z + vt) \) and the vector magnetic potential (\( \mathbf{A} \)) is given by \( \mathbf{A} = \left( \frac{5z}{v_0} + 2t \right) \mathbf{a}_z \), where \( v_0 \) is the velocity of propagation:

(a) Find divergence of vector magnetic potential, \( \nabla \cdot \mathbf{A} \).

(b) Find the magnetic flux density, \( \mathbf{B} \).

(c) Find the magnetic field intensity, \( \mathbf{H} \).

(d) Find the electric field intensity, \( \mathbf{E} \).

(e) Find the electric flux density, \( \mathbf{D} \).
Transcribed Image Text:If the retarded scalar electric potential (V) is given by \( V = (z + vt) \) and the vector magnetic potential (\( \mathbf{A} \)) is given by \( \mathbf{A} = \left( \frac{5z}{v_0} + 2t \right) \mathbf{a}_z \), where \( v_0 \) is the velocity of propagation: (a) Find divergence of vector magnetic potential, \( \nabla \cdot \mathbf{A} \). (b) Find the magnetic flux density, \( \mathbf{B} \). (c) Find the magnetic field intensity, \( \mathbf{H} \). (d) Find the electric field intensity, \( \mathbf{E} \). (e) Find the electric flux density, \( \mathbf{D} \).
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