Two parallel plate capacitors with the same plate separation but different capac

Question

Two parallel plate capacitors with the same plate separation but different capacitance connected in parallel to a battery. Both capacitors are filled are when they are fully with air. The quantity that is NOT the same for both capacitors charged is: A) the potential difference across the plates B) the energy density between the plates C) the electric field between the plates D) the charge on the positive plates E) the dielectric constant A current of 0.3 A is passed through a resistor for 120 s using a 6.0 v power supply (so there is a 6.0 v potential difference across the resistor). The energy dissipated converted to heat) by the resistor during this 120 s is A) 1.8 J B) 12 J C) 20 J D) 36 J E) 216 J A parallel plate capacitor has plate dimensions of 2.0 cm times 3.0 cm. plates are separated by a 1.0 mm The thickness of paper (K = 3.7, dielectric strength = 6 kv/mm). What positive charge will be stored on this capacitor when connected across a 9.0 V potential difference? A) 19.6 times 10^-12 C B) 4.75 times 10^-12 C C) 4.75 times 10^-11 C D) 1.76 times 10^-10 C E) 5.62 times 10^-10 C Consider the capacitor described in problem 11 above. What is the maximum charge that can be stored on the plates of the capacitor without leading to dielectric breakdown? A) just less than 8.50 times 10^-8 C B) just less than 3.14 times 10^-7 C C) there is no limit on the charge D) just less than 8.50 times 10^-5 C

Explanation / Answer

11.solution

C = keo(A / d)

A = (2.0 x 10-2 m)(3.0 x 10-2 m)

  A = 6.00 x 10-4 m2

C = (3.7)(8.85 x 10-12)(6.00 x 10-4 m2 / 1.00 x 10-3 m)

  C = 1.96 x 10-11 F

  C = Q / V

Q = CV

Q = (1.96 x 10-11 F)(9 V)

Q = 1.76 x 10-10 C  

so option D is correct

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