The Thevenin equivalent voltage, V_{th}, in V (rounded off to 2 decimal places) of the network shown below, is ________

This question was previously asked in

GATE EE 2020 Official Paper

CT 1: Ratio and Proportion

2536

10 Questions
16 Marks
30 Mins

Concept:

Thevenin’s theorem: Any two-terminal bilateral linear DC circuits can be replaced by an equivalent circuit consisting of a voltage source and a series resistor.

Thevenin voltage is the open-circuit voltage across the load terminals.

Thevenin resistance is the equivalent resistance across load terminals by replacing all independent voltage sources with short circuit and all independent current sources with an open circuit.

**Calculation:**

V_{1} = 4V

As the load is open, the current flows through 5 Ω circuit is zero.

By applying the nodal analysis,

=\(\frac{{{V_{th}} - {V_1}}}{2} = 5\)

⇒ **V _{th} = 14 V**