Kirchhoff’s Laws & Numericals

Kirchhoff’s Laws consists of (a) Kirchhoff’s Current Law (KCL) which is based on the law of conservation of charge and (b) Kirchhoff’s Voltage Law (KVL) which is based on the law of conservation of energy.

KCL states that the algebraic sum of currents entering a node or a closed boundary is zero. Alternatively, the sum of the currents entering a node is equal to the sum of the currents leaving the node.

KVL states that the algebraic sum of all voltages around a closed path or loop is zero.

Problem 1: Determine the number of branches and nodes in the circuit shown in Figure   1.

Problem 2: Determine the number of branches and nodes in the circuit shown in Figure 2.

Problem 3: Find V1 and V2 in the circuit as shown in Figure 3.

Problem 4: Obtain V1, V2 and V3  in the circuit of Figure 4.

Problem 5: Determine I in the circuit of Figure 5.

Problem 6: Find V1 in the circuit of Figure 6.

Problem 7: Determine V1 and I1 in the circuit of Figure 7.

Problem 8: Find V1 and V2 in the circuit of Figure 8.

Problem 9: Find V1 and I1 in the circuit of Figure 9.

Problem 10: Find R in the circuit of Figure 10.