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For a medium,conductivity sigma is equal to 58 x 10^6 siemen/m,E base r is equal to 1. find out the conduction and displacement current density if the magnitude of electric field intensity is given by E is equal to 150 in(10^10t) volt/m?
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For a medium,conductivity sigma is equal to 58 x 10^6 siemen/m,E base ...
Given:

  • Conductivity, sigma = 58 x 10^6 S/m

  • Permittivity of free space, E base r = 1

  • Electric field intensity, E = 150 in(10^10t) V/m



Conduction Current Density:
The conduction current density can be calculated using the equation:

J = sigma * E

Where J is the current density, sigma is the conductivity, and E is the electric field intensity.

Substituting the given values, we get:

J = 58 x 10^6 * 150 in(10^10t)

J = 8.7 in(10^19t) A/m^2

Therefore, the conduction current density is 8.7 in(10^19t) A/m^2.

Displacement Current Density:
The displacement current density can be calculated using the equation:

Jd = Er * dE/dt

Where Jd is the displacement current density, Er is the permittivity of free space, and dE/dt is the rate of change of electric field intensity with time.

Substituting the given values, we get:

Jd = 1 * d/dt(150 in(10^10t))

Jd = 1.5 in(10^20t) A/m^2

Therefore, the displacement current density is 1.5 in(10^20t) A/m^2.

Explanation:

  • The given values of conductivity, permittivity of free space, and electric field intensity are used to calculate the conduction and displacement current densities.

  • The conduction current density is calculated using the equation J = sigma * E, where sigma is the conductivity and E is the electric field intensity.

  • The displacement current density is calculated using the equation Jd = Er * dE/dt, where Er is the permittivity of free space and dE/dt is the rate of change of electric field intensity with time.

  • The values of conduction and displacement current densities are calculated and expressed in appropriate units.

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For a medium,conductivity sigma is equal to 58 x 10^6 siemen/m,E base r is equal to 1. find out the conduction and displacement current density if the magnitude of electric field intensity is given by E is equal to 150 in(10^10t) volt/m?
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