Current (I) expression of a diode is given by: (where symbols have usual meaning)

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SSC JE Electrical 11 Oct 2023 Shift 3 Official Paper-I
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  1. \(\mathrm{I}=\mathrm{I}_0\left(\mathrm{e}^{\frac{\mathrm{qv}}{\mathrm{}^{\mathrm{\eta T}}}}-1\right)\)
  2. \(\rm I=I_0\left(e^{\frac{\mathrm{v}}{\eta \mathrm{kT}}}\right)\)
  3. \(\mathrm{I}=\mathrm{I}_0\left(\mathrm{e}^{\frac{\mathrm{qv}}{\mathrm{\eta kT}}}-1\right)\)
  4. \(\mathrm{I}=\mathrm{I}_0\left(\mathrm{e}^{\frac{\mathrm{qv}}{\mathrm{} \mathrm{ \eta kT}}}-2\right) \)

Answer (Detailed Solution Below)

Option 3 : \(\mathrm{I}=\mathrm{I}_0\left(\mathrm{e}^{\frac{\mathrm{qv}}{\mathrm{\eta kT}}}-1\right)\)
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Detailed Solution

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Diode

F4 Savita ENG 28-12-23 D4

A diode is a semiconductor device that essentially acts as a one-way switch for current. It allows current to flow easily in one direction but severely restricts current from flowing in the opposite direction.

The current flows in a diode when it is forward-biased. During forward-biased conditions, the anode is connected to the positive terminal of the battery whereas the cathode is connected to the negative terminal of the battery.

During reverse-biased conditions, the anode is connected to the negative terminal of the battery whereas the cathode is connected to the positive terminal of the battery.

The current through the diode is given by:

\(\mathrm{I}=\mathrm{I}_0\left(\mathrm{e}^{\frac{\mathrm{qv}}{\mathrm{η kT}}}-1\right)\)

Io = Reverse saturation current

q = Charge

v = Voltage

k = Boltzmann's constant

T = Temperature

η = Ideality factor

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