A practical silicon diode with a cut-in voltage of 0.7 V is connected as
follows:
P-terminal (anode) → Ground (0V)
N-terminal (cathode) → +10V
Given that the current flowing through the diode is 1 μA, what is the DC
resistance in reverse biased diode?

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RRB JE ECE 22 Apr 2025 Shift 2 CBT 2 Official Paper
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  1. 10.7 MΩ
  2. −9.30 MΩ
  3. 9.30 MΩ
  4. 10 MΩ

Answer (Detailed Solution Below)

Option 4 : 10 MΩ
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Detailed Solution

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Concept:

The DC resistance of a reverse-bias diode is calculated using Ohm's Law:

\( R_{DC} = \frac{V_{reverse}}{I_R} \)

Where:
Vreverse  = Reverse voltage across diode
IR  = Reverse leakage current

Given:

  • Anode (P-terminal) connected to Ground (0V)
  • Cathode (N-terminal) connected to +10V
  • Cut-in voltage = 0.7V (not relevant for reverse bias)
  • Reverse current \( I_R = 1 \mu A \)

Calculation:

  1. Determine Reverse Voltage:

    \(V_{reverse} = V_{cathode} - V_{anode} = 10V - 0V = 10V\)

      Calculate DC Resistance:

      \( R_{DC} = \frac{10V}{1 \times 10^{-6}A} = 10 \times 10^6 \Omega = 10 M\Omega\)

Key Notes:
In reverse bias, the diode's resistance is very high (leakage current is small).

The cut-in voltage (0.7 V) is only relevant for forward bias and does not affect reverse-bias calculations.​

 

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