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4.38 A diode operates in a series circuit with a resistance R and a dc source V. A designer, considering using a constant-voltage model, is uncertain whether to use 0.7 V or 0.6 V for VD. For what value of V is the difference in the calculated values of current only 1%? For V = 3 V and R = 1 k!, what two current estimates would result from the use of the two values of VD? What is their percentage difference?

Respuesta :

davidlcastiblanco

Answer:

a. [tex]V=9.4V[/tex]

b. [tex]i_{D1}=2.3x10^{-3}A[/tex]

[tex]i_{D2}=2.4x10^{-3}A[/tex]

Explanation:

Using law Ohm to find the current in the circuit with a diode and resistance R

[tex]i_D=\frac{V-V_D}{R}[/tex]

a.

[tex]i_{D2}=1.01*i_{D1}[/tex]

[tex]\frac{V-0.7}{R}=1.01*\frac{V-0.6}{R}[/tex]

[tex](V-0.7)=1.01*(V-0.6)[/tex]

[tex]V-0.7=1.01*V-0.606[/tex]

[tex]V=\frac{0.094}{0.01}=9.4V[/tex]

b.

[tex]i_{D1}=\frac{V-V_D}{R}[/tex]

[tex]i_{D1}=\frac{3V-0.7}{1k}[/tex]

[tex]i_{D1}=2.3x10^{-3}A[/tex]

[tex]i_{D2}=\frac{3V-0.6}{1k}[/tex]

[tex]i_{D2}=2.4x10^{-3}A[/tex]

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