Unformatted text preview: to the gap as show x0/4 κ = C1 κ C2 What is Qf, the final charge o
the capacitor? C1 = 3/4C0 What is C2 ? (A) C2 = κC0 (B) C2 = 3/4 κC0 (C) C2 = 4/3 κC0 (D) C2 = 1/4 κC0
In general. For parallel plate capacitor filled with dielectric: C = κε0 A/d
A = 1/4A0
d = d0
45 C = ¼(κε0A0/d0) C2 = 1/4 κC0 Calculation
Calculation
V x0 C0 V An airgap capacitor, having capacitance C0 and width x0 is connected to a battery of voltage V. κ BB A dielectric (κ) of width x0/4 is inserted into the gap as shown. x0/4 κ C = C1 κ What is C? (A) (B) (C) C 2
C = C1 + C2
C = C1 + κ C2 46 C1 = 3/4C0 C2 = 1/4 κC0 −1 1 1
C = + ÷ C1 C2 C = parallel combination of C1 and C2: C = C1 + C2 C = C0 (3/4 + 1/4 κ) What is Qf, the final charge on the capacitor? An airgap capacitor, having capacitance C0 and width x0 is connected to a battery of voltage V. Calculation
Calculation
V x0 C0 V κ BB x0/4 κ C C1 = κ C2 C1 = 3/4C0 A dielectric (κ) of width x0/4 is inserted into the gap as shown. What is Qf, the final charge on the capacitor?
C2 = 1/4 κC0 C = C0 (3/4 + 1/4 κ)
What is Q? C≡ Q
V Q = VC 3 1 Q f = VC 0 + κ ÷
4 4 50 An airgap capacitor, having capacitance C0 and width x0 is connected to a battery of voltage V and then battery is disconnected. Different Problem
Different Problem
V Q
0 x0 C0 V κ BB 1/4x0 A dielectric (κ) of width 1/4x0 is inserted into the gap as shown.
What is Vf, the f...
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 Spring '14
 Ctotal, airgap capacitor

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