Two parallel plates, each having area A 3019cm2 are connected to the terminals o

Question

Two parallel plates, each having area A 3019cm2 are connected to the terminals of a battery of voltage Vb 6V as shown. The plates are separated by a distance d 0.59cm. You may assume (contrary to the drawing) that the separation between the plates is small compared to a linear dimension of the plate. 1) What is C, the capacitance of this parallel plate capacitor? 4.52e-4 You currently have 5 submissions for this question. Only 15 submission are allowed. You can make 10 more submissions for this question F Submit Your submissions: | 4.52e-4 . Computed value: 4.52e-4 Submitted: Sunday, September 24 at 1:26 PM Your answer has been judged correct; the exact answer is: 4.52438021700828 x 10 2) What is Q, the charge stored on the top plate of the this capacitor?. 002712 C Submit Your submissions: 1.002712

Explanation / Answer

1)   C = eo*A/d = (8.85*10^-12*3019*10^-4)/0.59*10^-2 = 4.52*10^-4 uF

2) Q = C*V = 4.52*10^-4*6 = 0.002712 uC

3) Ceq = 2Ck(2C)/[2C + k(2C)] = C*2k/(1 + k) = (eo*A/d)*(2k/(1 + k))

Qnew = Ceq*Vb = (eo*A/d)*(2k/(1 + k))*Vb = Q*(2k/(1 + k)) = 0.002712*(2*4/5) = 0.0043392 uC

4) Unew = 0.5*Qnew*Vb = 0.5*0.0043392*6 = 0.0130176 uJ = 1.3*10^-8 J

5) V = Qnew/C = 0.0043392/4.52*10^-4 = 9.6 V

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