Question

4.7 The electrostatic potential in a semiconductor is found to be: $\phi(x) = \frac{qN_D}{2\epsilon}x^2$ Where $N_D$ is the ionized donor concentration. Note that the unit for electro- static potential is Volts. (a) Obtain an expression for the electric field in terms of the parameters given in the above expression for potential. Include units in your answer. (b) Obtain an expression for the charge density. Include units in your answer.

          4.7 The electrostatic potential in a semiconductor is found to be:
$\phi(x) = \frac{qN_D}{2\epsilon}x^2$
Where $N_D$ is the ionized donor concentration. Note that the unit for electro-
static potential is Volts.
(a) Obtain an expression for the electric field in terms of the parameters
given in the above expression for potential. Include units in your answer.
(b) Obtain an expression for the charge density. Include units in your answer.

4.7 The electrostatic potential in a semiconductor is found to be:
ϕ(x) = (qND)/(2ϵ)x^2
Where ND is the ionized donor concentration. Note that the unit for electro-
static potential is Volts.
(a) Obtain an expression for the electric field in terms of the parameters
given in the above expression for potential. Include units in your answer.
(b) Obtain an expression for the charge density. Include units in your answer.

Added by Andrew B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Suman K

04/16/2022

Step 1

The electric field is the negative gradient of the potential, so we can write: \[E = -\frac{{dV}}{{dx}}\] where E is the electric field and V is the electrostatic potential. Show more…

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4.7 The electrostatic potential in a semiconductor is found to be: Where Nn is the ionized donor concentration. Note that the unit for electro static potential is Volts a) Obtain an expression for the electric field in terms of the parameters given in the above expression for potential. Include units in your answer. b) Obtain an expression for the charge density. Include units in your answer.