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Karnataka Board PUCPUC Science Class 11

The Potential Barrier Existing Across an Unbiased P-n Junction is 0.2 Volt. What Minimum Kinetic Energy a Hole Should Have to Diffuse from the P-side to the N-side

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Question

The potential barrier existing across an unbiased p-n junction is 0.2 volt. What minimum kinetic energy a hole should have to diffuse from the p-side to the n-side if (a) the junction is unbiased, (b) the junction is forward-biased at 0.1 volt and (c) the junction is reverse-biased at 0.1 volt?  

Short/Brief Note
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Solution

Potential barrier = 0.2 V 

(a) The minimum kinetic energy of the hole should be equal to the band gap of the material.
Band gap = eV
KE = Potential difference × e = 0.2 eV

(b) In forward biassing,
Kinetic energy = Effective potential of the barrier
∴ Kinetic energy = Potential under unbiased condition - Applied voltage
⇒ KE + Ve = 0.2 eV
Here, V is the applied voltage.
⇒ KE = 0.2 − 0.1 = 0.1 eV

(c) In reverse biassing,
Kinetic energy = Effective potential of the barrier
∴ Kinetic energy = Potential under unbiased condition + Applied voltage
⇒ KE − Ve = 0.2 eV
Here, V is the applied voltage.
⇒ KE = 0.2 + 0.1 = 0.3 eV

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Chapter 45: Semiconductors and Semiconductor Devices - Exercises [Page 419]

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HC Verma Concepts of Physics Volume 1 and 2 [English]
Chapter 45 Semiconductors and Semiconductor Devices
Exercises | Q 17 | Page 419

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