If the forward voltage in a semiconductor diode is chaged form 0.5 V to 2 V, then the forward current changed by 1.5 mA. The forward resistance of diode will be-

Options

A. `1KOmega`
B. `2KOmega`
C. `4KOmega`
D. `8KOmega`

Answer

To find the forward resistance of the diode, we can use the formula derived from Ohm's law, which relates voltage, current, and resistance. Here’s a step-by-step solution:

### Step 1: Identify the change in voltage (ΔV)
The change in voltage is calculated as:
\[ \Delta V = V_{\text{final}} - V_{\text{initial}} = 2\, \text{V} - 0.5\, \text{V} = 1.5\, \text{V} \]

**Hint:** Remember that the change in voltage is simply the difference between the final and initial voltage values.

### Step 2: Identify the change in current (ΔI)
The change in current is given as:
\[ \Delta I = 1.5\, \text{mA} = 1.5 \times 10^{-3}\, \text{A} \]

**Hint:** When converting milliamperes to amperes, multiply by \(10^{-3}\).

### Step 3: Use Ohm's Law to find the forward resistance (R)
Ohm's Law states that:
\[ V = I \cdot R \]
From this, we can rearrange the formula to find resistance:
\[ R = \frac{\Delta V}{\Delta I} \]

### Step 4: Substitute the values into the formula
Substituting the values we found:
\[ R = \frac{1.5\, \text{V}}{1.5 \times 10^{-3}\, \text{A}} = \frac{1.5}{1.5 \times 10^{-3}} = 1000\, \Omega \]

### Step 5: Convert resistance to kilo-ohms
Since \(1000\, \Omega\) is equivalent to \(1\, \text{k}\Omega\):
\[ R = 1\, \text{k}\Omega \]

### Conclusion
The forward resistance of the diode is \(1\, \text{k}\Omega\).

**Final Answer:** The forward resistance of the diode is \(1\, \text{k}\Omega\).

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