Multiple choice

The distance between plates of parallel plates condenser is 2 cm and area of each plate is 31.41 cm2. A glass slab of thickness 1 cm and area equal to the area of the plate is kept inside it. Find out the capacity if the relative permittivity of glass slab is 6.

  1. 0.238 x 10-11 F

  2. 26.92 x 10-2 F

  3. 18.5 x 10-6 F

  4. 31.41 x 10-2 F

  5. 31.41 x 10-6 F
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A Correct answer
Explanation

C = A єo / {(d - t) + (t/єr)}   = {(31.41 x 10-4)/(36π x 109)}  x  {1/(0.02 – 0.01) + (0.01 / 6 )}   =  (31.41 x 10-4)/(36π x 109)  x  x 6 / 0.07  = 0.238 x 10-11 F 

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