L6_cap_induc_circuits

L6_cap_induc_circuits - ESC102 : Introduction to...

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Unformatted text preview: ESC102 : Introduction to Electronics A.R. Harish Dept. of EE, IIT Kanpur Transient Analysis of Capacitive and Inductive Circuits Aug 03 Capacitance Two sheets of conductors separated by a layer of insulating material The insulating material is called dielectric. This could be air, polyester, metal metal dielectric 3 L6_cap_induc_circuits q(t) + v(t)- C i q C v = Coulombs Volt Farad dq i dt = dv i C dt = 1 ( ) ( ) o t o t v t idt v t C = + For dc or steady state when the voltage does not vary with time A capacitor under dc or steady state acts like an open circuit 2 1 ( ) ( ) 2 c c w t C v t = i = 1 2 3 eq C C C C = + + v 1 2 3 1 1 1 1 eq C C C C = + + 5 L6_cap_induc_circuits Inductance A time varying flux causes voltage to appear across the device terminals L i = d di v L dt dt = = 6 di v L dt = Henry For dc or steady state when the current does not vary with time v = An inductor under dc or steady state acts like a short circuit 7 Typical Inductors 8 L6_cap_induc_circuits 2 1 ( ) ( ) 2 L w t L i t = 1 2 3 eq L L L L = + + 1 2 3 1 1 1 1 eq L L L L = + + 9 L6_cap_induc_circuits Voltage across a capacitor cannot change instantaneously...
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L6_cap_induc_circuits - ESC102 : Introduction to...

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