Tutorial Sheet_BEEE_DKS PDF

Tutorial-1 1. State Kirchhoff’s law. Find the current in 3 Ω resistance in fig.1 by loop current method and verify the answer by node voltage method. Fig. 1 Fig. 2 2. Reduce the network of fig. 2 to obtain the equiva...

Tutorial-1 1. State Kirchhoff’s law. Find the current in 3 Ω resistance in fig.1 by loop current method and verify the answer by node voltage method. Fig. 1 Fig. 2 2. Reduce the network of fig. 2 to obtain the equivalent resistance as seen between nodes a and d. 3. Find current I in the circuit shown in fig. 3. All resistances are in ohms. Fig. 3 Fig. 4 4. Use nodal analysis to find the voltage across and current through 4 Ω resistor in fig. 4. 5. Find the current and voltage across 2  resistance in the following fig. 5. 10V 10Ω 5A 2Ω Fig. 5 3Ω 5Ω 20V (Ans: 5A, 10V) 6. Use nodal analysis to find the currents in 3  and 4  resistors of the circuit shown in fig. 6.  5Ω 1Ω 3Ω 10A 5Ω 4Ω 2Ω Fig. 6 2A (Ans: I 2  2.3 A I 4  1.29 A ) 7. Using delta to Star Transformation determines the resistance between terminals a-b and the total power drawn from the supply in the circuit shown in fig.7. Fig. 7 (Ans: Req  5.031 , P  19.873 W) 8. Find 𝐼1 , 𝐼2 and 𝐼3 in the network shown in fig. 8 below using loop current method. Fig. 8 (Ans: 𝑰𝟏 = 𝟏𝑨, 𝑰𝟐 = 𝟐𝑨, 𝑰𝟑 = 𝟑𝑨) 9. Use nodal analysis to find currents in the different branches of the circuit shown in fig. 9. Fig. 9 (Ans: 𝑰𝑹𝟐 = 4.038A, 𝑰𝑹𝟏 = 3.924A , 𝑰𝑹𝟑 = 0.1133A, 𝑰𝑹𝟓 = 0.7168A, 𝑰𝑹𝟒 = 0.604A) 10. For the circuit shown in fig. 10,  i.Calculate 𝑽𝒐𝒖𝒕 , ignoring the internal resistance 𝑹𝒔 of the source 𝑬. Use voltage division. ii.Recalculate 𝑽𝒐𝒖𝒕 taking into account the internal resistance 𝑹𝒔 of the source. What percent error was introduced by ignoring 𝑹𝒔 in part (i)? Fig. 10 (Ans: (𝒊) 𝑽𝒐𝒖𝒕= 37.9V, (𝒊𝒊) 𝑽𝒐𝒖𝒕= 37.27V, Error = 1.69%) 11. Determine 𝑰𝟏 , 𝑰𝟐 , 𝑰𝟑 , 𝑎𝑛𝑑 𝑰𝟓 using only current divider formula in fig. 11, when 𝑰𝟒 = 𝟒𝑨. Fig. 11 (𝑰𝟏 = 𝟑. 𝟒 𝑨, 𝑰𝟐 = 𝟐. 𝟎𝟎𝟒𝑨 𝑰𝟑 = 𝟑. 𝟒𝑨, 𝑰𝟓 = 𝟐. 𝟒𝑨) 12. Consider the nonseries-parallel circuit shown in fig. 12. Determine R and the equivalent resistance 𝑹𝒆𝒒 between the terminals “a” & “b” when 𝑽𝟏 = 8V. (Hint: Applying basic two Kirchhoff’s laws). Fig. 12 (Ans: R = 𝟒 𝜴, 𝑹𝒆𝒒 = 𝟒 𝜴.) 13. Find equivalent resistance between the terminals ‘a’ & ‘b’ and assume all resistors values are 1Ω fig. 13. Fig. 13 14. Find the current through 'ab-branch' (𝑰𝒂𝒃) and voltage (𝑽𝒄𝒈) across the current source using Mesh- current method in Fig. 14. Fig. 14 (𝑨𝒏𝒔: 𝑰𝒂𝒃 = 𝟎. 𝟑𝟗𝑨, 𝑽𝒄𝒈 = 𝟔. 𝟐𝟕𝑽) 15. For the circuit shown Fig. 15, find 𝑽𝒙 using the mesh current method. Fig. 15 (𝐀𝐧𝐬: 𝑽𝒙 = 𝟒𝟖 𝑽) 16. Find the value of the current I flowing through the battery in fig.16 using ‘Node voltage’ method. Fig. 16 (Ans: 𝑰 = 𝟏. 𝟑𝟎𝟕𝑨) ….xxxxx…..