A silicon diode has a saturation current of 6 nA at 25 degrees Celcius. What is the saturation current at 100 degrees Celsius?

Answer :

Answer:

0.0659 A

Explanation:

Given that :

[tex]I_{0} = 6nA[/tex] ( saturation current )

at 25°c = 300 k ( room temperature )

n = 2  for silicon diode

Determine the saturation current at 100 degrees = 373 k

Diode equation at room temperature = I = Io [tex]\frac{V}{e^{0.025*n} }[/tex]

next we have to determine the value of V at 373 k

q / kT = (1.6 * 10^-19) / (1.38 * 10^-23 * 373) = 31.08 V^-1

Given that I is constant

Io = [tex]\frac{e^{0.025*2} }{31.08}[/tex] =  0.0659 A

The saturation current at 100 degrees Celsius will be "0.0659 A".

Temperature and Current

According to the question,

Saturation current, [tex]I_0[/tex] = 6nA

At 25°C,

Room temperature = 300 k

Silicon diode, n = 2

The value of V will be:

= [tex]\frac{q}{kT}[/tex]

By substituting the values,

= [tex]\frac{1.6\times 10^{-19}}{1.38\times 10^{-23}\times 373}[/tex]

= 31.08 V⁻¹

hence,

By using Diode equation,

→ I = I₀ [tex]\frac{V}{e^{0.025\times n}}[/tex]

or,

The current will be:

I₀ = [tex]\frac{V}{e^{0.025\times n}}[/tex]

  = [tex]\frac{e^{0.025\times 2}}{31.08}[/tex]

  = 0.0659 A

Thus the answer above is right.

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