Conceptual Question - Limit answer to space provided below Consider two identica

Question

Conceptual Question - Limit answer to space provided below Consider two identical capacitors. When one capacitor is connected to a battery the energy stored is U. When both capacitors are connected in series to the same battery, the total energy stored is... a) 4U b) ...2U. c) ...U. d) ... U/2. e) ...U/4. f) None of these is correct. Explain your response in the space provided. Graphical Analysis Question-Answer on a new sheet of paper a) Is the net electric field is zero anywhere? If you answer 'yes', list the location(s). If you answer 'no', how can you tell? b) Between 5 cm and 6.5 cm, what is the average force acting on a 5 nC test charge?

Explanation / Answer

'1)d U/2

when 2 Capacitors are connected in series

total capacitance is (c1C2)/(c1 + c2)

Voltage remains Same .

Total energy = 1/2 [( c1C2 /C1+ c2)V^2]

Since C1=C2 ,

energy new =U1= 1/4 c V^2 =U/2

a) Net electric field is given by the slope of the Curve . since slope is not zero anywhere E is not 0 ,

b) Electric field = E= Slope = 2000/(6.5-5)

= 1333N /c

force = E q= (1333.33)(5×10^-9)

= 6.6x10^-6 N

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