Page 1 ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. RC/RL Circuits Page 2 ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. RC/RL Circuits ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. RL Circuits The steps involved in solving simple circuits containing dc sources, resistances, and one energy-storage element (inductance or capacitance) are: Page 3 ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. RC/RL Circuits ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. RL Circuits The steps involved in solving simple circuits containing dc sources, resistances, and one energy-storage element (inductance or capacitance) are: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. 1. Apply Kirchhoff’s current and voltage laws to write the circuit equation. 2. If the equation contains integrals, differentiate each term in the equation to produce a pure differential equation. 3. Assume a solution of the form K 1 + K 2 e st . Page 4 ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. RC/RL Circuits ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. RL Circuits The steps involved in solving simple circuits containing dc sources, resistances, and one energy-storage element (inductance or capacitance) are: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. 1. Apply Kirchhoff’s current and voltage laws to write the circuit equation. 2. If the equation contains integrals, differentiate each term in the equation to produce a pure differential equation. 3. Assume a solution of the form K 1 + K 2 e st . ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. 4. Substitute the solution into the differential equation to determine the values of K 1 and s . (Alternatively, we can determine K 1 by solving the circuit in steady state) 5. Use the initial conditions to determine the value of K 2 . 6. Write the final solution. Page 5 ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. RC/RL Circuits ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. RL Circuits The steps involved in solving simple circuits containing dc sources, resistances, and one energy-storage element (inductance or capacitance) are: ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. 1. Apply Kirchhoff’s current and voltage laws to write the circuit equation. 2. If the equation contains integrals, differentiate each term in the equation to produce a pure differential equation. 3. Assume a solution of the form K 1 + K 2 e st . ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. 4. Substitute the solution into the differential equation to determine the values of K 1 and s . (Alternatively, we can determine K 1 by solving the circuit in steady state) 5. Use the initial conditions to determine the value of K 2 . 6. Write the final solution. ELECTRICAL ENGINEERING: PRINCIPLES AND APPLICATIONS, Fourth Edition, by Allan R. Hambley, ©2008 Pearson Education, Inc. RL Transient Analysis Find i(t) and the voltage v(t) Apply KVL around the loop: 0 ) ( ) ( = + + - t v R t i V S i(t)= 0 for t < 0 since the switch is open prior to t = 0Read More

Offer running on EduRev: __Apply code STAYHOME200__ to get INR 200 off on our premium plan EduRev Infinity!

57 docs|59 tests