C30 Clo C20 Eo Figure la. B) Now you completely fill the air gap of two...

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C30 Clo C20 Eo Figure la. B) Now you completely fill the air gap of two capacitors with four different insulating materials with dielectric constants of K1, K2, K3, and K4 having the same volume of L'/2 as shown in Figure lb below. The third capacitor is filled by a metallic slab of volume L' that completely occupies the air gap of third capacitor as shown below. The connection of these capacitors to the end of the EMF remains to be the same as in Figure la. a) Find the equivalent capacitance to be connected between the ends of the EMF as dielectrics and metallic plate are placed in the capacitors? b) What is the charge of equivalent capacitance, Qeq ? c) what is the total energy of equivalent capacitance? Ueq. d) what is the magnitude of electric field vector in each dielectric material? E1, E2, E3, E4, and electric field inside the metal? e) what are the energy densities, u1, u2, u3, and u4 in each dielectrics? as well as in metallic plate ?f) what are the total energy stored in each dielectric, U1, U2, U3, U4 as well as in metallic plate? find the total energy, U= Uj+U2+U3+U4 + Umetal and compare it to the total energy of equivalent capacitance? Are they same or different? what is your conclusion? explain. L/2 L/2 K1 = K. L/2 K2 =3K, KI K4L metal K3 =2K, K3 K2 L/2 K4 =6K, Dielectric constants C1 C2 C3 Figure lb. Side view C30 Clo C20 Eo Figure la. B) Now you completely fill the air gap of two capacitors with four different insulating materials with dielectric constants of K1, K2, K3, and K4 having the same volume of L'/2 as shown in Figure lb below. The third capacitor is filled by a metallic slab of volume L' that completely occupies the air gap of third capacitor as shown below. The connection of these capacitors to the end of the EMF remains to be the same as in Figure la. a) Find the equivalent capacitance to be connected between the ends of the EMF as dielectrics and metallic plate are placed in the capacitors? b) What is the charge of equivalent capacitance, Qeq ? c) what is the total energy of equivalent capacitance? Ueq. d) what is the magnitude of electric field vector in each dielectric material? E1, E2, E3, E4, and electric field inside the metal? e) what are the energy densities, u1, u2, u3, and u4 in each dielectrics? as well as in metallic plate ?f) what are the total energy stored in each dielectric, U1, U2, U3, U4 as well as in metallic plate? find the total energy, U= Uj+U2+U3+U4 + Umetal and compare it to the total energy of equivalent capacitance? Are they same or different? what is your conclusion? explain. L/2 L/2 K1 = K. L/2 K2 =3K, KI K4L metal K3 =2K, K3 K2 L/2 K4 =6K, Dielectric constants C1 C2 C3 Figure lb. Side view