Find the current i₁ and voltage v₂ in the given network.

Concept:

When two or more voltage source in series:

When two or more current source in parallel:

The polarity of Voltage:

The direction of Current:

Calculation:

Given the circuit

From the above concept,

• 32 V and 14 V Voltage source equivalent to 46 V because both voltage source is in series.
• 2 A and 3.5 A Current source equivalent to 1.5 A in downwards direction because both are in anti-parallel to each other.

Hence circuit becomes:

From the above-simplified circuit diagram:

40 Ω resistance is connected in parallel with the 46 V voltage source.

∴ V₂ = 46 V

And, i₁ = 1.5 A