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Unformatted text preview: Calculation Calculation V x0 C0 V κ x0/4 Calculate new capacitance C Apply definition of capacitance to determine Qf To calculate C, let’s first look at: Vleft κ Vright (A) Vleft < Vright (B) Vleft = Vright (C) Vleft > Vright 40 capacitance C0 and width x0 is connected to a battery of voltage V. A dielectric (κ) of width x0/4 is inserted into the gap as shown. • Strategic Analysis: – – BB An air­gap capacitor, having The conducting plate is an equipotential !! 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 BB κ x0/4 Can consider capacitor to be two capacitances, C1 and C2, in parallel κ = C1 κ C2 What is C1 ? (A) C1 = C0 (B) C1 = 3/4C0 (C) C1 = 4/3C0 (D) C1 = 1/4C0 43 In general. For parallel plate capacitor: C = ε0 A/d A = 3/4A0 C1 = 3/4 (ε0A0/d0) d = d0 C1 = 3/4C0 A dielectric (κ) of width x0/4 i inserted into the gap as shown What is Qf, the final charge on the capacitor? Calculation Calculation V x0 C0 V An air­gap capacitor, having capacitance C0 and width x0 connected to a battery of voltage V. κ BB A dielectric (κ) of width x0/4 inserted in...
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