Thevenin's Theorem Circuit Analysis Example Solution
Explore the application of Thevenin's theorem in analyzing a circuit to find the current through a specific element. Follow step-by-step solution and calculations for a better understanding of DC circuits.
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Presentation Transcript
DC Circuits Thevenin's Theorem Examples By Dr. Ahmed S. Abdullah .
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown.
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 1 and 2:-
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 1 and 2:-
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 3:-
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 3:-
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 3:-
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 3:-
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 3:- ???= ? + (? // 12 ) = ? + ? = 9
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 4:- ? = ?? ? = ? ?
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 4:- ? = ?? ? = ? ?
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 4:-
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 4:- ???= ? ? + ??
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 4:-
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 4:- ??= ? ?? = ?? ? ? ? = ?? ?
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 4:- Applying the voltage divider rule, ?? ? ? + ? + ? =??? ? =?? ??= ? ? ?? = ??
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 4:- ???= ? ? + ?? = ? ? + ? ? = ?? ?
Thevenin's Theorem EXAMPLE 1: Use the Thevenin theorem to find the current through 3 for the circuit of figure shown. Solution:- Step 5:- ?? = 9 ??? ??= ???+ ?? ?? = 12? ??= 3 ?? ? ? + ? = ?? ??= ? ? ??=
Thevenin's Theorem EXAMPLE 2: Use the Thevenin theorem to find the current through 6 for the circuit of figure shown.
Thevenin's Theorem EXAMPLE 2: Use the Thevenin theorem to find the current through 6 for the circuit of figure shown. Solution:- Step 1 and 2:-
Thevenin's Theorem EXAMPLE 2: Use the Thevenin theorem to find the current through 6 for the circuit of figure shown. Solution:- Step 3:-
Thevenin's Theorem EXAMPLE 2: Use the Thevenin theorem to find the current through 6 for the circuit of figure shown. Solution:- Step 3:-
Thevenin's Theorem EXAMPLE 2: Use the Thevenin theorem to find the current through 6 for the circuit of figure shown. Solution:- Step 3:-
Thevenin's Theorem EXAMPLE 2: Use the Thevenin theorem to find the current through 6 for the circuit of figure shown. Solution:- Step 3:-
Thevenin's Theorem EXAMPLE 2: Use the Thevenin theorem to find the current through 6 for the circuit of figure shown. Solution:- Step 3:- ???= ?
Thevenin's Theorem EXAMPLE 2: Use the Thevenin theorem to find the current through 6 for the circuit of figure shown. Solution:- Step 4:-
Thevenin's Theorem EXAMPLE 2: Use the Thevenin theorem to find the current through 6 for the circuit of figure shown. Solution:- Step 4:- ???= ? ??
Thevenin's Theorem EXAMPLE 2: Use the Thevenin theorem to find the current through 6 for the circuit of figure shown. Solution:- Step 4:- ???= ? ?? ?? = ?? ? = ??
Thevenin's Theorem EXAMPLE 2: Use the Thevenin theorem to find the current through 6 for the circuit of figure shown. Solution:- Step 4:- ???= ? ?? ?? = ?? ? = ?? ???= ?? ? = ??
Thevenin's Theorem EXAMPLE 2: Use the Thevenin theorem to find the current through 6 for the circuit of figure shown. Solution:- Step 5:- ?? = 2 ??? ??= ??= 6 ???+ ?? ?? = 8? ? ? ? ?= ? ? ??= ? + ? =
Thevenin's Theorem EXAMPLE 3: Use the Thevenin s theorem to find the current through the branch a-bfor the circuit shown.
Thevenin's Theorem EXAMPLE 3: Use the Thevenin s theorem to find the current through the branch a-bfor the circuit shown. Solution:- ???
Thevenin's Theorem EXAMPLE 3: Use the Thevenin s theorem to find the current through the branch a-bfor the circuit shown. Solution:- ???
Thevenin's Theorem EXAMPLE 3: Use the Thevenin s theorem to find the current through the branch a-bfor the circuit shown. Solution:- ??? ???= (? + ?? )// 27 ) = ?? // 27 = ??.?
Thevenin's Theorem EXAMPLE 3: Use the Thevenin s theorem to find the current through the branch a-bfor the circuit shown. Solution:- ???
Thevenin's Theorem EXAMPLE 3: Use the Thevenin s theorem to find the current through the branch a-bfor the circuit shown. Solution:- ??? ?? = ?27 = ?1 27 Applying the current divider rule to find I1, ? (23 ) =(18?)(23 ) 54 ?1= = 7.67 ? 23 + 27 + 4 ?27 = ?1 27 = 7.67 ? 27 = 207 V ?? = ?27 = 207 ?
Thevenin's Theorem EXAMPLE 3: Use the Thevenin s theorem to find the current through the branch a-bfor the circuit shown. Solution:- ??=??? ??? ???+ ?? ??=??? ? ???? ??.? + ?? = ?? ??.?= ?.?? ?
References Boylestad, Robert L. Introductory circuit analysis. Pearson Education, 2010. Robbins, Allan H., and Wilhelm C. Miller. Circuit analysis: Theory and practice. Cengage Learning, 2012. Sadiku, Matthew NO, and Chales K. Alexander. Fundamentals of electric circuits. McGraw-Hill Higher Education, 2007.
