Question

consider a diode for which current varies with voltage according to the equation I = V^10.8a. What is the resistance of the diode when a potential difference of 0.58 volts is placed across it?b. What is the resistance of the diode when 0.72 volts is placed across it?

Answer 1

Answer:

a) Resistance of the diode when a potential difference of 0.58 volts is placed across it = 207.1 ohms

b) Resistance of the diode when 0.72 volts is placed across it = 24.8 ohms

Step-by-step explanation:

The equation representing the relationship between the current and voltage is:

`I=v^(10.8)`

a) When v = 0.58 volts

`\begin{gathered} I=0.58^(10.8) \\ \\ I=0.0028A \end{gathered}`

The resistance of a diode is given as:

`\begin{gathered} R_D=(v_T)/(I_D) \\ \\ R_D=(0.58)/(0.0028) \\ \\ R_D=207.1\text{ ohms} \end{gathered}`

b) When v = 0.72 volts

`\begin{gathered} I=0.72^(10.8) \\ \\ I=0.029A \end{gathered}`

Calculate the resistance

`\begin{gathered} R_D=(v_D)/(I_D) \\ \\ R_D=(0.72)/(0.029) \\ \\ R_D=24.8\text{ ohms} \end{gathered}`