Question

A sample of silicon at room temperature is doped with arsenic at a concentration of 6.0 × 10$^{15}$ cm$^{-3}$. A second sample of silicon at room temperature is doped with boron, and both samples have the same conductivity. Assuming that the mobility values are 1350 cm$^2$/V-s and 480 cm$^2$/V-s for free electrons and holes, respectively, which of the following is closest to the concentration of boron atoms in the second sample? a: 10$^{12}$ cm$^{-3}$ b: 10$^{13}$ cm$^{-3}$ c: 10$^{14}$ cm$^{-3}$ d: 10$^{15}$ cm$^{-3}$ e: 10$^{16}$ cm$^{-3}

          A sample of silicon at room temperature is doped with arsenic at a concentration of
6.0 × 10$^{15}$ cm$^{-3}$. A second sample of silicon at room temperature is doped with boron, and both
samples have the same conductivity. Assuming that the mobility values are 1350 cm$^2$/V-s and
480 cm$^2$/V-s for free electrons and holes, respectively, which of the following is closest to the
concentration of boron atoms in the second sample?
a:
10$^{12}$ cm$^{-3}$
b:
10$^{13}$ cm$^{-3}$
c:
10$^{14}$ cm$^{-3}$
d:
10$^{15}$ cm$^{-3}$
e:
10$^{16}$ cm$^{-3}

Show more…

A sample of silicon at room temperature is doped with arsenic at a concentration of
6.0 × 10^15 cm^-3. A second sample of silicon at room temperature is doped with boron, and both
samples have the same conductivity. Assuming that the mobility values are 1350 cm^2/V-s and
480 cm^2/V-s for free electrons and holes, respectively, which of the following is closest to the
concentration of boron atoms in the second sample?
a:
10^12 cm^-3
b:
10^13 cm^-3
c:
10^14 cm^-3
d:
10^15 cm^-3
e:
10^16 cm^-3

Added by Madison M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Geeta Yadav

Step 1

Doping is the process of intentionally adding impurities to a semiconductor material to change its electrical properties. In this case, the silicon is doped with arsenic and boron. Conductivity in a semiconductor is determined by the concentration of charge Show more…

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A sample of silicon at room temperature is doped with arsenic at a concentration of 6.0 x 10^15 cm^-3. A second sample of silicon at room temperature is doped with boron, and both samples have the same conductivity. Assuming that the mobility values are 1350 cm^2/V-s and 480 cm^2/V-s for free electrons and holes, respectively, which of the following is closest to the concentration of boron atoms in the second sample? a: 10^12 cm^-3 b: 10^13 cm^-3 c: 10^14 cm^-3 d: 10^15 cm^-3 e: 10^16 cm^-3

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