Tried 8.8 mJ for part a it says wrong and differs by more than 10% ED Chapter 26

Question

Tried 8.8 mJ for part a it says wrong and differs by more than 10%
ED Chapter 26 Rec O Positive work is done by the agent pulling the plates apart Negative work is done by the agent pulling the plates apart No work is done by pulling the agent pulling the plates apart. Need Help? Roeds Netes Ask Your A 1. 76-nF parallel-plate capacitor is charged to an initial potential diference .-1 dielectric constant of 5.6 00 v an d is then isolated. The dielectric material between the plates is Pyrex glass, with a (a) How much work is required to withdraw the Pyrex glass sheet? Your response differs from, the correct answer by more than 10%. Double check your calculations. (b) What is the potential difference of the capacitor after the Pyrex glass is withdrawn? 560 Need Help? Read Submit Answer Save Progress Practice Another Version Progress Submit Assignment Save Home My Assignments Extension Request

Explanation / Answer

a)

Initial Charge stored

Q=CKV =(1.76*10-9)*100=1.76*10-7 C

Here charge remains constant after battery is disconnected. The capacitance without dielectric pyrex

C=CK/K =1.76/5.6 =3.143*10-10 F

The voltage across capacitor after pyrex glass sheet is removed.

Vnew=Q/Cnew =(1.76*10-7)/(3.143*10-10) =560 Volts

Work required to withdraw pyrex glass sheet is

W=(1/2)*(3.143*10-10)*(560)2-(1/2)*(1.76*10-9)*1002

W=4.048*10-5 J or 0.04048 mJ or 40.48 uJ

b)

V=560 Volts

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