An air-filled parallel-plate capacitor has plates of area 2.10 cm 2 separated by

Question

An air-filled parallel-plate capacitor has plates of area 2.10 cm2 separated by 2.50 mm. The capacitor is connected to a 15.0-V battery.

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6. +0/10 points | Previous Answers An air-filled parallel-plate capacitor has plates of area 2.10 cm2 separated by 2.50 mm. The capacitor is connected to a 15.0-V battery. (a) Find the value of its capacitance. Your response differs from the correct answer by more than 100%, pF (b) What is the charge on the capacitor? Your response differs from the correct answer by more than 10%. Double check your calculations. pc c) What is the magnitude of the uniform electric field between the plates? Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. V/m Need Help?Read It Submit AnswerSave Progress Practice Another Version

Explanation / Answer

A = 2.10 x 10^-4 m² , k = 1 for air, epsilon( ?0 )= 8.85 * 10-¹² F/m

a) Capacitance of a parallel-plate capacitor

C = ?0 A k / d = 8.85 * 10?¹² * 2.10 x 10^-4 * 1 / .0025

= 0.7434 x 10^-12 F.

b) Charge on capacitor
C = Q / V
Q = V C = 15 * 0.7434 x 10^-12 = 11.151 x 10^-12 C

c) Electric field strength
E = Q / ( ?0 A ) = 11.151 x 10^-12/ ( 8.85 * 10-¹² * 0.00021 ) = 6000 N/C.

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