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Electromagnetic theory miscellaneous

Electromagnetic Theory

  1. If the electric field E = 0.1 te–t ax and ∈ = 4∈0, then the displacement current crossing an area of 0.1 m2 at t = 0 will be—
    1. Zero
    2. 0.04 ∈0
    3. 0.4 ∈0
    4. 4 ∈0
Correct Option: B

E = 0.1 t e– t ix
D = ∈r0 E
or D = ∈r0 0.1 t e– t ix
or D = 0.4 ∈0 [– te– t + e– t] ix
Dt = 0 = 0.4 ∈0 ix
Displacement current = 0.1 × 0.4 ∈0 ix
= 0.04 ∈0 ix



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