The Thevenin voltage & the resistor in the given circuit is _______ and _________ respectively.

Thevenin Theorem

Thevenin’s theorem states that it is possible to simplify any linear circuit, into an equivalent circuit with a single voltage source and a series resistance.

Steps to calculate:

1. Thevenin Resistance (Rth): Open the circuit to the terminal from where the Thevenin resistance has to be found. While finding the Rth, short circuit the independent voltage source and open circuit the independent current source.
2. Thevenin Voltage (Vth): This is the open-circuit voltage across the terminals where the load was connected.

Calculation

Thevenin Resistance:

\(R_{th}={({6+1})× 3\over (6+1)+3}\)

R_th =  2.1 kΩ

Thevenin Voltage:

Using the current divider rule to obtain current across 3 kΩ resistance.

\(I={6\over 10}× 24=14.4\space mA\)

The voltage drop across the 3 kΩ resistor is:

V = 14.4 × 3 = 43.2 V