For the circuit shown below R1 10 ohm R2 3 ohm R3 4 ohm R

For the circuit shown below, R_1 = 10 ohm, R_2 = 3 ohm, R_3 = 4 ohm, R_4 = 7 ohm, R_a = 10 ohm, V_s1 = 10V. For the left hand side of the following circuit as separated by the dashed line AA\' shown below: Find Thevenin equivalent circuit as shown below by determining the series-connected V_Th. (V) determining the series-connected R_Th. (ohm) Find Norton equivalent circuit shown below by determining the parallel-connected I_N. (A) determining the parallel-connected R_N. (ohm)

Solution

A) Vth is the open circuit voltage between terminals

Vth=1.556 V

B) Rth is the effective resistance between the terminals after short circuiting the voltage source

Reffective= ((10//4)+3)//7)=3.189

Rth= 3.189 ohm

C) In is the short circuit current across the terminals

Also In=Vth/Rth

In=0.488 A

D) Rth=Rn

Rn= 3.189 ohm