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DEHRADUN INSTITUTE OF TECHNOLOGY DEPARTMENT OF ELECTRICAL ENGINEERING NETWORK ANALYSIS & SYNTHESIS Assignment:-3 (Network Theorems) 2i i Q1. Use superposition theorem to find the current i Fig.1 (Ans: - i=4/9 A) 20 2V 10 V 5 Fig.1 Q2. Use superposition theorem to determine the voltage v and power dissipated by the 3 ohm resistor of the following network. Fig.2 (Ans: - v = 15 V, P = 75 W) i1 + 12 V v 3.0 - 1.0 6A 2i1 Q3. Determine the voltage across the 1/3 ohm resistance By Thevenin’s Theorem. Fig.3 (Ans: - 10/7 V) 1 2 1 2 2A Fig.3 Q4. Use Thevenin’s Theorem to find the voltage across the 3 ohm resistance. Fig.4 (Ans: - 120/7 V) 3V 1 4 1 3 2 1 I 4 10 A 3 Fig.4 Q5. Find the Thevenin’s Equivalent circuit across R4. Fig.5 R 3( R1 (1 ) R 2) RTh R1 R 2 R 3 (Ans: ) R 3V 1 VTh R1 R 2 R 3 I αI R1 V1 I R2 R3 Fig.5 Page 1 of 2 www.eedofdit.weebly.com Prepared by: Nafees Ahamad R4 DEHRADUN INSTITUTE OF TECHNOLOGY DEPARTMENT OF ELECTRICAL ENGINEERING NETWORK ANALYSIS & SYNTHESIS Assignment:-3 (Network Theorems) a Q6. Find Thevenin’s equivalent circuit at a-b. Fig.6 (Ans: - RTh=500 Ohm, VTh=150 V) 11.0k KΩ 30 IB 10 V 500 IB Fig.6 b a Q7. Find Thevenin’s equivalent circuit at a-b. Fig.7 (Ans: - RTh=3 Ohm, VTh=0 V) 4 I 6 8I 12 Fig.7 Use Thevenin’s Theorem to find out current in (6+j8) ohm. Fig.8 (Ans:- VTh=7.73-j1.33, ZTh=1.466-j4.734 IL=0.962 & -33.38o) Fig.8 2 20 V 50 Hz 0Deg Q.9 Repeat Question 3 to 8 for Norton’s Theorem. Q10. Find current in 3 ohm resistance by (i) Thevenin’s Theorem (ii) Norton’s Theorem. Fig.10 Fig.10 (Ans: - 5Amp) 6 Q.12 Find the value of Z that will receive Maximum power. Also determine this power. Fig.12 (Ans:- Z=1.125-j1.797 Pmax=124.8 W) Fig.12 Page 2 of 2 www.eedofdit.weebly.com 8V 50 Hz 30Deg 4 -j5 Ω 6 j8 Ω j3 Ω 30 V 5A 2 2 4 2 + V4 - 20 V 50 Hz 0Deg 3 j10 Ω Z=A+jB Q.8 b Z 5V4 Prepared by: Nafees Ahamad