Voltage and current in a circuit

Question

Answer 1

(1)

Step 1:

Redraw the circuit.

Observe the circuit :

The loop 1 has a loop current of 1A.

So the current through the branch i₁ = 1A.

Solution :

The current through the branch i₁ = 1A.

Answer 2

(2)

Step 1:

Consider the node N.

Apply KCL at node N.

Since the branch i₁ = 1A.

 

Apply KVL to loop 2.

The current through the branch i₂ = 0.2A.

Solution :

The current through the branch i₂ = 0.2A.

Answer 3

(3)

Step 1:

Consider the node N.

Apply KCL at node N.

The branch current is i₁ = 1A.

 

From the results of (2) :

The current through the branch i₂ = 0.2A.

Therefore the current through the branch is i₃ = 0.8A.

Solution :

The current through the branch is i₃ = 0.8A.

Answer 4

(4)

Step 1:

Find the voltage across nodes A and B.

The voltage across nodes A and B is 5.6 V.

Solution :

The voltage across nodes A and B is 5.6 V.