Correct Answer - Option 2 : increase with increase current and decreasing temperature
Explanation:
Diffusion Capacitance:
1. Diffusion capacitance is due to the transfer of minority carries during the forward bias
2. The minority carriers diffuse from one end of the junction to the other, causing variation of charge with applied voltage
3. This leads to capacitance, it is present only in forward bias and is significantly higher than depletion capacitance in the forward bias
The diffusion capacitance is given by the formula:
\({C_d} = \frac{{{I_{DQ}}\times\tau }}{{2{V_T}}}\) ---(1)
IDQ = Quiescent current of the diode.
τ = Minority carrier lifetime
VT = Thermal voltage
So from equation (1), we can say that the diffusion capacitance of the PN Junction Diode increases with an increase in current as Cd ∝ IDQ and
also, Cd ∝ 1/Vt, where,
\(V_t=\frac{T}{11600}\)
Hence diffusion capacitance of the PN Junction Diode increases with a decrease in temperature.
So option (2) is the correct answer.
Depletion Capacitance:
- Depletion capacitance is due to the storage of charges in reverse bias junction, which acts like parallel plate capacitance with the forward voltage
- In the forward the depletion width decreases which increases depletion capacitance
- It is less than diffusion capacitance in the forward bias mode