Question 1. Two 5.00 uF capacitors are connected to each other in series and are then connected to a 6.00 V battery. a. Calculate the charge on each capacitor (give two separate answers, one for each capacitor). b. The capacitors are now disconnected from the battery, and wax (k = 4.00) is inserted into one of the two capacitors. Calculate the potential difference across the series combination after the wax is inserted. c. How much work is done by electrostatic forces on the wax as it is inserted into the capacitor? The capacitors are now disconnected from each other and then reconnected in parallel (positive plate to positive plate; negative plate to negative plate). This is done carefully, so as to not accidentally discharge the capacitors. d. Determine the resulting charge on each capacitor after equilibrium is reestablished. (Hint: what is the voltage across each capacitor?) e. How much energy is converted to thermal energy in the resistance of the connecting wires while the charges rearrange themselves to reestablish equilibrium?

BDSX1U The Asker · Physics

Transcribed Image Text: 1. Two 5.00 uF capacitors are connected to each other in series and are then connected to a 6.00 V battery. a. Calculate the charge on each capacitor (give two separate answers, one for each capacitor). b. The capacitors are now disconnected from the battery, and wax (k = 4.00) is inserted into one of the two capacitors. Calculate the potential difference across the series combination after the wax is inserted. c. How much work is done by electrostatic forces on the wax as it is inserted into the capacitor? The capacitors are now disconnected from each other and then reconnected in parallel (positive plate to positive plate; negative plate to negative plate). This is done carefully, so as to not accidentally discharge the capacitors. d. Determine the resulting charge on each capacitor after equilibrium is reestablished. (Hint: what is the voltage across each capacitor?) e. How much energy is converted to thermal energy in the resistance of the connecting wires while the charges rearrange themselves to reestablish equilibrium?
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Transcribed Image Text: 1. Two 5.00 uF capacitors are connected to each other in series and are then connected to a 6.00 V battery. a. Calculate the charge on each capacitor (give two separate answers, one for each capacitor). b. The capacitors are now disconnected from the battery, and wax (k = 4.00) is inserted into one of the two capacitors. Calculate the potential difference across the series combination after the wax is inserted. c. How much work is done by electrostatic forces on the wax as it is inserted into the capacitor? The capacitors are now disconnected from each other and then reconnected in parallel (positive plate to positive plate; negative plate to negative plate). This is done carefully, so as to not accidentally discharge the capacitors. d. Determine the resulting charge on each capacitor after equilibrium is reestablished. (Hint: what is the voltage across each capacitor?) e. How much energy is converted to thermal energy in the resistance of the connecting wires while the charges rearrange themselves to reestablish equilibrium?
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IQCMX4

(a) Deltav_(c)=(6)/(2)=3v across eachQ=C Delta V=(S_(mu)F)(BV)=15 mu C(b) c_(1)=kc=4cQ will remain same as disconneeted from battery.Q=C Delta V=C_(1)DeltaV_(1)^(')=>DeltaV_(1)^(')=(3)/(4)=0.75V{:[Deltav^(')=Deltav_(1)^(')+Deltav_(2)^(')=0.75+3],[Deltav^(')=3.75v]:}(c){:[w=Delta v=u_(f)-v_(i)=(1)/(2)(4xx5xx10^(-6))(0.75)^(2)-(1)/(2)(5xx10^(-6))(3)^(2)],[w=-16.875MJ]:}(d) finally, DeltaV_(1)^('')=Deltav_(2)^(n)=V_(f)Using cha ... See the full answer