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Choose the correct option for the forward biased characteristics of a p-n junction

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To solve the question regarding the forward-biased characteristics of a p-n junction, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Forward Biasing**: - In a p-n junction diode, forward biasing occurs when the positive terminal of the battery is connected to the p-type material (anode) and the negative terminal is connected to the n-type material (cathode). This reduces the barrier potential and allows current to flow. 2. **Current-Voltage Relationship**: - In forward bias, a small increase in voltage results in a large increase in current. This is due to the exponential relationship described by the diode equation: \[ I = I_0 (e^{\frac{qV}{kT}} - 1) \] - Here, \(I_0\) is the reverse saturation current, \(q\) is the charge of an electron, \(V\) is the voltage across the diode, \(k\) is Boltzmann's constant, and \(T\) is the absolute temperature. 3. **Analyzing Graphs**: - We need to analyze the given options (graphs) to find one that represents the forward bias characteristics correctly. - The correct graph should show that a small increase in voltage leads to a significant increase in current. 4. **Evaluating Each Graph**: - **Graph 1**: Shows a linear increase in current with voltage. This is incorrect because it does not reflect the exponential increase in current with a small increase in voltage. - **Graph 2**: Shows current decreasing after a certain point, which is also incorrect for forward bias. - **Graph 3**: Displays a curve where a small increase in voltage results in a large increase in current, which aligns with the expected behavior of a forward-biased diode. - **Graph 4**: Shows a large increase in voltage for a small increase in current, which contradicts the forward bias characteristics. 5. **Conclusion**: - Based on the analysis, **Graph 3** is the correct option as it accurately represents the forward-biased characteristics of a p-n junction diode. ### Final Answer: The correct option for the forward-biased characteristics of a p-n junction is **Graph 3**.
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