For the circuit in figure below answer the followings with r

For the circuit in figure below, answer the followings with respect to the terminals a and b. R_1 = 9 Ohm, R_2 =9 Ohm, R_3 = 50 Ohm, v_2 = 10 V, I = 2A. Find the Thevenin resistance Find the Thevenin voltage Find the Norton resistance Find the Norton current

Solution

3]a]

Thevenin’s Theorem states that it is possible to simplify any linear circuit, no matter how complex, to an equivalent circuit with just a single voltage source and series resistance connected to a load.

Here R₃ is the load resistance, simply ignore it, we get a series resistance as R thevenin=R₁+ R₂=18 ohms

b] The voltage source voltage is calculated from the current source current and resistance as V thevenin= 18*2= 36 V

c] The main difference between Thevenin’s theorem and Norton’s theorem is that, Thevenin’s theorem provides an equivalent voltage source and an equivalent series resistance, while Norton’s theorem provides an equivalent Current source and an equivalent parallel resistance.

Norton resistance= 18 ohms

d]

Norton current, I= V/ R= 10/18= 0.56 A

Norton current, I=0.56 A