Question

For the given nonlinear circuit, ????x = [???? ????x−1]/ 10 in which the units of ????x and ????x are V and A respectively. The source voltage is 3V and the source resistance is 1Ω.

Use graphical load-line techniques to solve for ????x and ????x. [Use a computer program to plot the characteristic curve and load line.]

Answer 1

`V_(x)` = 0.75 V,
`I_(x)`= 0.56 A

Step-by-step explanation:

Given data:

`V_(s)` = 3 V

`R_(s)` = 1 Ω

`I_(x)` =
`(3V_(X) )/(4)`

Solution:

Using Kirchhoff's voltage law.

The law states that the algebraic addition of potential difference in loop is similar to zero.

`V_(s)` -
`I_(x)`
`R_(s)` -
`V_(x)` = 0

`V_(s)` -
`I_(x)`
`R_(s)` =
`V_(x)`

3 -
`(3V_(X) )/(4)` × 1 =
`V_(x)`

12 - 3
`V_(x)` = 4

3 - 3
`V_(x)` =

`V_(x)` = 3/4

`V_(x)` = 0.75 V

`I_(x)` =
`(3V_(X) )/(4)`

`I_(x)` =
`(3)/(4)` × 0.75

`I_(x)` =
`(2.25)/(4)`

`I_(x)` = 0.56 A.