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1.14 eV. Calculate the position of the Fermi level at 200 K and the<br />

number of unionised As atoms. me = m h = m.<br />

7. A sample of silicon contains 10 -4 atomic percent of phosphorous donors<br />

which are all singly ionized at room temperature. The electron mobility<br />

is 0.15 m 2 /Vs. Calculate the extrinsic resistivity of the sample.<br />

8. A sample of n-type Ge contains 10 23 ionized donors per cubic meter.<br />

Estimate the ratio at room temperature of the resistivity of this material<br />

to that of high-purity intrinsic germanium.<br />

The p-n junction (PN)<br />

1. Estimate the ratio of the forward and the reverse biased currents in a p-n<br />

junction diode when the applied voltage is 0.5 V.<br />

2. A current of 5 µA flows through a simple p-n junction diode at room<br />

temperature when it is reverse biased with 0.15 eV. Calculate the current<br />

flow when it is forward biased with the same voltage.<br />

3. In a certain p-n junction at room temperature, the maximum current<br />

obtained on reverse bias was 10 µA. What current would be expected to<br />

pass through the junction if a forward bias of 0.1 V were applied?<br />

4. Derive an expression for the differential resistance of a p-n junction. How<br />

does it vary with temperature when the junction is forward-biased with a<br />

certain voltage greater than 4kT/e? Would this device be of any value as a<br />

practical thermometer?<br />

6

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