1.

Cross-sectional area of silicon slab at 300 K temperature having length 10 cm is 1 xx 10^(-4) m^(2) Find the current passing through slab if 2 V battery is joined paraUcl to its lengch mobility of electron = 0.14 m^(2) V^(-1) S^(-1) and electron density= 1.5 xx 10^(16) m^(-3) .

Answer»

`6.72 xx 10^(-4)` A
`6.72 xx 10^(-5) ` A
`6.72 xx 10^(-6) `A
`6.72 xx 10^(-7)` A

Solution :`6.72 xx 10^(-7)` A
l = 10 cm = `10^(-1)` m , A = 1 `xx 10^(-4) m^(2)`
V = 2 V , I = (?)
`mu = 0.14 m^(2) V^(-1) s^(-1)`
n = 1.5 ` xx 10^(16) m(-3)`
Current passing through slab = I = `"nev"_(d)`Abut , `mu = (v_(d))/(E)rArr v_(d)= E mu `
`therefore I = " NE E "mu A `
Here V = El `rArr E = (V)/(l) `
`therefore I= ("neV"mu A)/(l) `
` = (1.5 xx 10^(16) xx 1.6 xx 10^(-19) xx 0.14xx 2 xx 10^(-4))/(10^(-1))`
`thereforeI = 6.72 xx 10^(-7)` A


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