Q1 (a) A straight long conducting wire has a circular cross-section with a diameter of 2...

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Q1 (a) A straight long conducting wire has a circular cross-section with a diameter of 2 mm. The current through the wire is 1 A and is uniformly distributed in the cross-section. Find the current density. (b) Find the force applied to a point charge q = 10 µC located at (1,2,3) m within a uniform electric field E = 0.6 a +0.8₂ V/m. (c) Given the potential field V = 50x² + 20y²z (V) in free space, find the electric field Eat P(1. 0, 0) m (d) Three point charges of +5 µC, -2 µC and -3 µC are inside a closed surface S and a point charge of +10 µC is outside S. Find the total flux emerging from S. (e) The conductivity and dielectric constant of a material are 3 S/m and 25, respectively. Determine the frequency of a sinusoidal electric field at which the magnitude of the conduction current density equals to that of the displacement current density. Q1 (a) A straight long conducting wire has a circular cross-section with a diameter of 2 mm. The current through the wire is 1 A and is uniformly distributed in the cross-section. Find the current density. (b) Find the force applied to a point charge q = 10 µC located at (1,2,3) m within a uniform electric field E = 0.6 a +0.8₂ V/m. (c) Given the potential field V = 50x² + 20y²z (V) in free space, find the electric field Eat P(1. 0, 0) m (d) Three point charges of +5 µC, -2 µC and -3 µC are inside a closed surface S and a point charge of +10 µC is outside S. Find the total flux emerging from S. (e) The conductivity and dielectric constant of a material are 3 S/m and 25, respectively. Determine the frequency of a sinusoidal electric field at which the magnitude of the conduction current density equals to that of the displacement current density.