L6_cap_induc_circuits

# L6_cap_induc_circuits - ESC102 Introduction to Electronics...

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ESC102 : Introduction to Electronics A.R. Harish Dept. of EE, IIT Kanpur Transient Analysis of Capacitive and Inductive Circuits Aug 03

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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

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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 = × 0 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

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Inductance A time varying flux causes voltage to appear across the device terminals L i φ = × d di v L dt dt φ = = × 6
di v L dt = × Henry For dc or steady state when the current does not vary with time 0 v = An inductor under dc or steady state acts like a short circuit 7

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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

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