Answer:
![\triangle V_0=0.08V](https://tex.z-dn.net/?f=%5Ctriangle%20V_0%3D0.08V)
Explanation:
From the question we are told that:
Incremental resistance ![R=8ohms](https://tex.z-dn.net/?f=R%3D8ohms)
Resistor Feed ![R_f=82ohms](https://tex.z-dn.net/?f=R_f%3D82ohms)
Supply Change ![\triangle V=1](https://tex.z-dn.net/?f=%5Ctriangle%20V%3D1)
Generally the equation for voltage rate of change is mathematically given by
![\frac{dV_0}{dV}=\frca{R}{R_1r_3}](https://tex.z-dn.net/?f=%5Cfrac%7BdV_0%7D%7BdV%7D%3D%5Cfrca%7BR%7D%7BR_1r_3%7D)
Therefore
![\triangle V_0=\triangle V*\frac{R}{R_fR}](https://tex.z-dn.net/?f=%5Ctriangle%20V_0%3D%5Ctriangle%20V%2A%5Cfrac%7BR%7D%7BR_fR%7D)
![\triangle V_0=1*\frac{8}{8*82}](https://tex.z-dn.net/?f=%5Ctriangle%20V_0%3D1%2A%5Cfrac%7B8%7D%7B8%2A82%7D)
![\triangle V_0=0.08V](https://tex.z-dn.net/?f=%5Ctriangle%20V_0%3D0.08V)
Answer:
24.72 kwh
Explanation:
Electric energy=potential energy=mgz where m is mass, g is acceleration due to gravity and z is the elevation.
Substituting the given values while taking g as 9.81 and dividing by 3600 to convert to per hour we obtain
PE=(108*9.81*84)/3600=24.72 kWh
Answer:
The resistance is 24.9 Ω
Explanation:
The resistivity is equal to:
![R=\frac{1}{N_{o}*u*V } =\frac{1}{4.48x10^{15}*1500*106x10^{-19} } =0.93ohm*cm](https://tex.z-dn.net/?f=R%3D%5Cfrac%7B1%7D%7BN_%7Bo%7D%2Au%2AV%20%7D%20%3D%5Cfrac%7B1%7D%7B4.48x10%5E%7B15%7D%2A1500%2A106x10%5E%7B-19%7D%20%20%7D%20%3D0.93ohm%2Acm)
The area is:
A = 60 * 60 = 3600 um² = 0.36x10⁻⁴cm²
![w=\sqrt{\frac{2E(V_{o}-V) }{p}(\frac{1}{N_{A} }+\frac{1}{N_{D} })](https://tex.z-dn.net/?f=w%3D%5Csqrt%7B%5Cfrac%7B2E%28V_%7Bo%7D-V%29%20%7D%7Bp%7D%28%5Cfrac%7B1%7D%7BN_%7BA%7D%20%7D%2B%5Cfrac%7B1%7D%7BN_%7BD%7D%20%7D%29)
If NA is greater, then, the term 1/NA can be neglected, thus the equation:
![w=\sqrt{\frac{2E(V_{o}-V) }{p}(\frac{1}{N_{D} })](https://tex.z-dn.net/?f=w%3D%5Csqrt%7B%5Cfrac%7B2E%28V_%7Bo%7D-V%29%20%7D%7Bp%7D%28%5Cfrac%7B1%7D%7BN_%7BD%7D%20%7D%29)
Where
V = 0.44 V
E = 11.68*8.85x10¹⁴ f/cm
![V_{o} =\frac{KT}{p} ln(\frac{N_{A}*N_{D}}{n_{i}^{2} } , if n_{i}=1.5x10^{10}cm^{-3} \\V_{o}=0.02585ln(\frac{4.48x10^{18}*4.48x10^{15} }{(1.5x10^{10})^{2} } )=0.83V](https://tex.z-dn.net/?f=V_%7Bo%7D%20%3D%5Cfrac%7BKT%7D%7Bp%7D%20ln%28%5Cfrac%7BN_%7BA%7D%2AN_%7BD%7D%7D%7Bn_%7Bi%7D%5E%7B2%7D%20%20%7D%20%2C%20if%20n_%7Bi%7D%3D1.5x10%5E%7B10%7Dcm%5E%7B-3%7D%20%20%5C%5CV_%7Bo%7D%3D0.02585ln%28%5Cfrac%7B4.48x10%5E%7B18%7D%2A4.48x10%5E%7B15%7D%20%20%7D%7B%281.5x10%5E%7B10%7D%29%5E%7B2%7D%20%20%7D%20%29%3D0.83V)
![w=\sqrt{\frac{2*11.68*8.85x10^{-14}*(0.83-0.44) }{1.6x10^{-19}*4.48x10^{15} } } =3.35x10^{-5} cm=0.335um](https://tex.z-dn.net/?f=w%3D%5Csqrt%7B%5Cfrac%7B2%2A11.68%2A8.85x10%5E%7B-14%7D%2A%280.83-0.44%29%20%7D%7B1.6x10%5E%7B-19%7D%2A4.48x10%5E%7B15%7D%20%20%7D%20%7D%20%3D3.35x10%5E%7B-5%7D%20cm%3D0.335um)
The length is:
L = 10 - 0.335 = 9.665 um
The resistance is:
![Re=\frac{pL}{A} =\frac{0.93*9.665x10^{-4} }{0.36x10^{-4} } =24.9ohm](https://tex.z-dn.net/?f=Re%3D%5Cfrac%7BpL%7D%7BA%7D%20%3D%5Cfrac%7B0.93%2A9.665x10%5E%7B-4%7D%20%7D%7B0.36x10%5E%7B-4%7D%20%7D%20%3D24.9ohm)