A parallel plate capacitor has plate area and plate separation . A dielectric slab of dielectric constant and thickness is inserted between the plates. What is the capacitance of the capacitor? ()

Answer and explanation

Correct answer: B.

  1. Step 1: The formula for a parallel plate capacitor partially filled with a dielectric slab of thickness is .
  2. Step 2: Compute the effective plate separation: .
  3. Step 3: Calculate capacitance: .
Answer
.
Why not the others: is the capacitance with air only (); is the capacitance if the slab filled the entire space (); is an arithmetic error using .

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