A parallel-plate capacitor of capacitance C has plate area A and distance between plates d. The capacitor is connected to a battery with voltage V, fully charged and then disconnected. A slab of dielectric material with dielectric constant 4.0 is then inserted into capacitor, completely filling region between plates.     Part (a)  After inserting the dielectric, the capacitance is now:  2C C C/4 C/2 4C        Part (b)  After inserting the dielectric, the voltage across the capacitor is now:  2V V 4V V/2 V/4

Principles of Physics: A Calculus-Based Text
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Chapter20: Electric Potential And Capacitance
Section: Chapter Questions
Problem 20OQ: A parallel-plate capacitor filled with air carries a charge Q. The battery is disconnected, and a...
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A parallel-plate capacitor of capacitance C has plate area A and distance between plates d. The capacitor is connected to a battery with voltage V, fully charged and then disconnected. A slab of dielectric material with dielectric constant 4.0 is then inserted into capacitor, completely filling region between plates.

 
  Part (a)  After inserting the dielectric, the capacitance is now: 
2C C C/4 C/2
4C      
 Part (b)  After inserting the dielectric, the voltage across the capacitor is now: 
2V V 4V V/2
V/4      
 Part (c)  After inserting the dielectric, the charged stored in the capacitor is now: 
2VC 4VC VC/4 VC/2
VC      
 Part (d)  After inserting the dielectric, the electric field in the capacitor is now: 
Twice as large. Four times as large. The same.
Half as large. One-fourth as large.  
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