roblem 2. Using the Divergence Theorem erive the integral forms of Gauss' Laws for the magnetic and electric fields starting om the differential forms.
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Given that
Prove that
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- The vector magnetic potential inside a conductive cylindrical conductor of radius b is given by A . H =?Evaluate the expression for Area of the sphere using appropriate “dS” from spherical coordinate system and by choosing accurate limitQUESTION: Obtain Poisson’s equation from Gauss’s Law . SUBJECT: ELECTROMAGNETIC FIELDS THEORY
- Determine the intrinsic impedance of the free space. Show detailed calculation please.2/ The curl of a gradient of a scalar is always equal to…….(True or False) Detailed Explanation needed... Maxwell's equations for static fields reflect the divergence and curl characteristics of E-field and B-field. (True or False)
- 3. As shown in the figure, a current of 3D204 flows through a long U-shaped (hairpin)-shaped conductor made by bending the conductor in a semicircle with a radius of R = 100mm. Point 6 is the middle of the straight part, very far in a semicircle, and the straight part can be approximated as an infinity line. Find the (a) magnitude and (b) direction of B at point a, respectively, and (c) magnitude and (d) | Find each direction.Evaluate both sides of divergence theorem for for the volume enclosed between r=1 and r=2 in spherical coordinates. Given that D=(5r²/4)arEvaluate the expression for Area of the cone using appropriate “dS” from spherical coordinate system and also discuss values by choosing accurate limits.
- Get the expression for the gradient of a scalar field in spherical coordinates.The magnetic field intensities inside and outside of a long and smooth conductor with a cross section radius are as follows. Accordingly, find the current densities J inside and outside the conductor. (Hint: Use cylindrical coordinates)1)Write the Gauss law integral and derivative expression. How is the Gaussian surface defined and what is its property?I need to explain the answers to these questions, please can you explain in detail. Thanks in advance.