Equilibrium concentration of majority and minority carriers

[shayaan_musta]

Homework Statement

Give the equilibrium concentration of majority and minority carriers and resistivity for Silicon which is doped with 3x10^{15} boron atoms/cm^{3} at 27°C.

Homework Equations

n_{o} = \frac{N_{d}-N_{a}}{2}+\sqrt{(\frac{N_{d}-N_{a}}{2})^{2}+(n_{i})^{2}}
p_{o} = \frac{N_{a}-N_{d}}{2}+\sqrt{(\frac{N_{a}-N_{d}}{2})^{2}+(n_{i})^{2}}
n_{o}p_{o} = n_{i}^{2}

The Attempt at a Solution

DATA
n_{o} (equilibrium concentration of majority carriers) = ?
p_{o} (equilibrium concentration of minority carriers) = ?
\rho (resistivity for Silicon) = ?
N_{a} = 3x10^{15} atoms/cm^{3}
T = 27°C+273 = 273K
n_{i} (for silicon at 300K) = 1.5x10^{10} atoms/cm^{3}

SOLUTION
n_{o} = 0 (I calculated this)
p_{o} = infinity

I used the above given 1st equation to calculate n_{o}. And used 3rd equation to calculate the p_{o}.
Actually, I am confused whether I extracted right data or not. And I don't know how to calculate resistivity?

Please tell me where is mistake in the data and Solution.

Thanks.

 

[shayaan_musta]

Please help me experts.