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Electromagnetic theory miscellaneous

Electromagnetic Theory

  1. Two infinite parallel metal plates are charged with equal surface charge density of the same polarity. The electric field in the gap between the plates is—
    1. The same as that produced by one plate
    2. Double of the field produced by one plate
    3. Dependent on coordinates of field point
    4. Zero
Correct Option: D

For an infinite sheet of charge having surface charge density ρs, the electric field on either side is ρs/ 2∈ and away from it (assuming charge to be positive). Therefore, in the region between the plates, the two fields are antiparallel and equal; and hence the electric field in the gap between the plates is zero.



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