i) A series circuit contains a resistance, RQ, a capacitor, C F, a coil L H; supplied by a d.c. source with e.m.f E V. Derive an expression for the current in the circuit. Initially current i-0 A and capacitor voltage ve 0 V. Use ve as the dependent variable ii) If the source e.m.f-20 V, the resistance is 8 2, coil inductance is 500 mH and the capacitor is 200 mF, what is the voltage across the capacitor at = 1.0 s.

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Chapter1: Units, Trigonometry. And Vectors
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Question:
i) A series circuit contains a resistance, RQ, a capacitor, C F, a coil L H; supplicd by a
d.c. source with e.m.fE V. Derive an expression for the current in the circuit. Initially
current i-0 A and capacitor voltage v-0 v. Use ve as the dependent variable
ii) If the source e.m.f-20 V, the resistance is 8 2, coil inductance is 500 mH and the
capacitor is 200 mF, what is the voltage across the capacitor at t= 1.0 s.
Hints: 1- use KVL to write equation v + va+ ve-E
2- write the differential equation in terms of ve as stated in the question.
To find other dependent variables, use the equation of ve to derive
their equations.
3- remember the general relations v Ri, v Li'.q Cve, i'.
Transcribed Image Text:Question: i) A series circuit contains a resistance, RQ, a capacitor, C F, a coil L H; supplicd by a d.c. source with e.m.fE V. Derive an expression for the current in the circuit. Initially current i-0 A and capacitor voltage v-0 v. Use ve as the dependent variable ii) If the source e.m.f-20 V, the resistance is 8 2, coil inductance is 500 mH and the capacitor is 200 mF, what is the voltage across the capacitor at t= 1.0 s. Hints: 1- use KVL to write equation v + va+ ve-E 2- write the differential equation in terms of ve as stated in the question. To find other dependent variables, use the equation of ve to derive their equations. 3- remember the general relations v Ri, v Li'.q Cve, i'.
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