JEE Main 20265 AprilEvening Shift
- Exam
- JEE Main
- Year
- 2026
- Date
- 5 April
- Shift
- Evening Shift
- Subject
- Physics
- Chapter
- Semiconductors
JEE Main 2026 · 5 April · Evening Shift · Physics · Semiconductors
In a semiconductor p-n diode, the doping concentrations on p-side...
In a semiconductor p-n diode, the doping concentrations on p-side and n-side are and , respectively. Which one of the following statements is true ?
Options
- AWidths of depletion region on either side of the interface are equal
- BThe depletion region width is more on p-side compared to that in n-side
- CThe depletion region width is more on n-side compared to that in p-side
- DNo depletion region forms because of unequal doping concentrations on p and n-sides
Correct answer
B. The depletion region width is more on p-side compared to that in n-side
Step-by-step solution
In a p-n junction diode, the total charge on both sides of the depletion region must be equal to maintain charge neutrality.
Let and be the widths of the depletion region on the p-side and n-side, respectively. Let and be the doping concentrations on the p-side and n-side.
The charge neutrality condition is given by:
Given and .
Substituting the values, we get:
Since , the depletion region penetrates more into the lightly doped side. Therefore, the depletion region width is more on the p-side compared to that in the n-side.
Answer: The depletion region width is more on p-side compared to that in n-side
Let and be the widths of the depletion region on the p-side and n-side, respectively. Let and be the doping concentrations on the p-side and n-side.
The charge neutrality condition is given by:
Given and .
Substituting the values, we get:
Since , the depletion region penetrates more into the lightly doped side. Therefore, the depletion region width is more on the p-side compared to that in the n-side.
Answer: The depletion region width is more on p-side compared to that in n-side