Multiple choice

A parallel plate air capacitor has the potential difference between the plates as 500 V and rectangular plates each of length 20 cm and breadth 10 cm separated by a distance of 2 mm. Which of the following is the electric field intensity between the two plates?

  1. 0.004 x 10-3 m/V

  2. 250 x 103 V/m

  3. 1000 x 10-3 Vm

  4. 0.885 x 10-10 V/m

  5. 1.12 x 1010 m/V
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

L = 0.2 m; b = 0.1 m; d = 2 x 10-3 m; V = 5 x 102V, E = ? C = A ε0/d = (L x b) x ε0/ d = 2 x 10-2x 8.85 x 10-12/2 x 10-3 ∴ C = 8.85 x 10-11F Q = C V = 8.85 x 10-11x 5 x 102 = 4.425 x 10-8C  E = V/d = 500 / 2 x 10-3 = 250 x 103 V/m

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