A and B please (14%) Problem 7: Consider a parallel plate capacitor having plate

Question

A and B please

(14%) Problem 7: Consider a parallel plate capacitor having plates of area 1.65 cm2 that are separated by 0.028 mm of neoprene rubber. You may assume the rubber has a dielectric constant K = 6.7. 50% Part (a) What is the capacitance in F? Grade Summary Deductions Potential 10% 90% sinO tan() || acosO sinhO 789 4 5 6 Submissions Attempts remaining: 5 (2% per attempt) detailed view coso) cotanO asinO acotan s atan)a cosh)tanh0 2% 2% 2% 2% cotanhO 0 END Degrees Radians BACKSPACE CLEAR 4 Submit Hint I give up! Hints: 0% deduction per hint. Hints remaining: 3 Feedback: 1 for a 0% deduction No meaningful feedback available for the current submission 50% Part (b) What charge, Q, in coulombs, does it hold when 9.00 V is applied to it?

Explanation / Answer

here,

the plate area , A = 1.65 cm^2 = 1.65 * 10^-4 m^2

sepration , d = 0.028 mm = 2.8 * 10^-5 m

k = 6.7

a)

the capacitance , C = K * area * e0 /d

C = 6.7 * 1.65 * 10^-4 * 8.85 * 10^-12 /(2.8 * 10^-5) F

C = 3.5 * 10^-10 F = 3.5 * 10^-4 uF

b)

the charge stored , Q = C * V

Q = 3.5 * 10^-4 * 9 C

Q = 3.15 * 10^-9 C

the charge stored is 3.15 * 10^-9 C

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