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The total current density is given as 0.5i + j – 1.5k units. Find the curl of the magnetic field intensity.
  • a)
    0.5i – 0.5j + 0.5k
  • b)
    0.5i + j -1.5k
  • c)
    i – j + k
  • d)
    i + j – k
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The total current density is given as 0.5i + j – 1.5k units. Fin...
Answer: b
Explanation: By Maxwell second equation, the curl of H is same as the sum of conduction current density and displacement current density. Thus Curl(H) = J = 0.5i + j – 1.5k units.
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Most Upvoted Answer
The total current density is given as 0.5i + j – 1.5k units. Fin...
To find the magnitude of the total current density, we can use the formula:

|J| = sqrt(Jx^2 + Jy^2)

Given that Jx = 0.5i and Jy = j, we can substitute these values into the formula:

|J| = sqrt((0.5i)^2 + (j)^2)

Simplifying, we have:

|J| = sqrt(0.25i^2 + j^2)
|J| = sqrt(0.25(-1)^2 + j^2) (since i^2 = -1)
|J| = sqrt(0.25 + j^2)

Therefore, the magnitude of the total current density is sqrt(0.25 + j^2).
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