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In the circuit illustrated for problem 1, a dielectric with ? = 2.70 is inserted

ID: 2275753 • Letter: I

Question


In the circuit illustrated for problem 1, a dielectric with ? = 2.70 is inserted between the plates of C1 and C3.  a)  If we assume the plate separation in C1 and C3 to be 1 mm, calculate the original electric field inside of C1 and C3.  b) Calculate the new voltage across the plates in C1 and C3.  c)  Calculate the new equivalent capacitance of the entire network.  d) Calculate the energy contained in the C1 and C3 before and after the dielectric is inserted.  

In the circuit illustrated for problem 1, a dielectric with ? = 2.70 is inserted between the plates of C1 and C3. a) If we assume the plate separation in C1 and C3 to be 1 mm, calculate the original electric field inside of C1 and C3. b) Calculate the new voltage across the plates in C1 and C3. c) Calculate the new equivalent capacitance of the entire network. d) Calculate the energy contained in the C1 and C3 before and after the dielectric is inserted.

Explanation / Answer

a)

C1=k*Cair

=2.7*15

C3=k*Cair

=2.7 *5


C=C1+C3=20*2.7=54


E=v/d=10/1=10 v/mm


b)Q=CV