DGD4+solution

DGD 4 ELG2138 A Question 1) (P 4.5-1) Determine the mesh currents i 1 , i 2 , and i 3 for the circuit shown in Figure P 4.5-1.

Question 2) (P 4.6-8) Determine values of the mesh currents, i 1 , i 2 , and i 3 , in the circuit shown in Figure P 4.6-8. Solution : The meshes 1 and 2 share a current source  Supermesh=mesh 1 + mesh 3 Use units of V, mA and k Ω . Express the currents to the supermesh to get : i 1 − i 3 = 2 Apply KVL to the supermesh to get : 4 ( i 3 − i 2 ) + ( 1 ) i 3 − 3 + ( 1 ) ( i 1 − i 2 ) = 0 ⇒ i 1 − 5 i 2 + 5 i 3 = 3 Apply KVL to mesh 2 to get

Question 4) (P 4.7-16) Determine the values of the mesh currents i 1 and i 2 for the circuit shown in Figure P4.7-16 . Solution : First, express the controlling current in terms of mesh current: KCL at node i a =i 2 + 1

Question 5) (P 5.2-2) Consider the circuit of Figure P 5.2-2. Find i a by simplifying the circuit (using source transformations) to a single-loop circuit so that you need to write only one KVL equation to find i a . Solution :