You make a capacitor by cutting the 13.5-cm-diameter bottoms out of two aluminum

Question

You make a capacitor by cutting the 13.5-cm-diameter bottoms out of two aluminum pie plates, separating them by 3.30 mm , and connecting them across a 6.00-V battery.

Part A

What’s the capacitance of your capacitor?

Express your answer with the appropriate units.

C=___(value, units)____

Part B

If you disconnect the battery and separate the plates to a distance of 3.50 cm without discharging them, what will be the potential difference between them?

Express your answer with the appropriate units.

V=_(value, units)___

Explanation / Answer

a) r= d/2 = 0.135/2

C1 =    0A/d = 0r2/d = (8.85*10^-12*3.14*(0.135/2)^2)/0.0033 = 3.84*10^-11 F

b)

Q1 = C1*V1 = (3.84*10^-11)*(6.0) = 2.304*10^-10 C

d=0.0350m

C2 =    0A/d = 0r2/d = (8.85*10^-12*3.14*(0.135/2)^2)/0.035 = 3.6*10^-12 F

V2= Q1/C2 = (2.304*10^-10)/(3.6*10^-12) = 64 V

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.