(a)
A spreadsheet for I
and R = Δ V I
for Δ V = 0.400 V to 0 .600 V
in increments of 0 .005 V
for T = 280 K, 300 K, and 320 K
.
(a)
Answer to Problem 27.80AP
(Volts) |
(Amperes) |
|
0.4 | 0.015932 | 25.1067 |
0.405 | 0.019602 | 20.66116 |
0.41 | 0.024117 | 17.00046 |
0.415 | 0.029673 | 13.98578 |
0.42 | 0.036508 | 11.50433 |
0.425 | 0.044918 | 9.461686 |
0.43 | 0.055264 | 7.780834 |
0.435 | 0.067995 | 6.397529 |
0.44 | 0.083657 | 5.259572 |
0.445 | 0.102927 | 4.323453 |
0.45 | 0.126637 | 3.553464 |
0.455 | 0.155807 | 2.92028 |
0.46 | 0.191697 | 2.39962 |
0.465 | 0.235855 | 1.97155 |
0.47 | 0.290184 | 1.619662 |
0.475 | 0.357027 | 1.330432 |
0.48 | 0.439268 | 1.092727 |
0.485 | 0.540454 | 0.897394 |
0.495 | 0.818117 | 0.605048 |
0.5 | 1.006569 | 0.496737 |
0.505 | 1.238432 | 0.407774 |
0.51 | 1.523704 | 0.334711 |
0.515 | 1.874688 | 0.274712 |
0.52 | 2.306521 | 0.225448 |
0.525 | 2.837827 | 0.185001 |
0.53 | 3.491518 | 0.151796 |
0.535 | 4.295787 | 0.124541 |
0.54 | 5.285319 | 0.10217 |
0.545 | 6.502788 | 0.08381 |
0.55 | 8.000701 | 0.068744 |
0.555 | 9.843657 | 0.056381 |
0.56 | 12.11114 | 0.046238 |
0.565 | 14.90093 | 0.037917 |
0.57 | 18.33335 | 0.031091 |
0.575 | 22.55642 | 0.025492 |
0.58 | 27.75228 | 0.020899 |
0.585 | 34.145 | 0.017133 |
0.59 | 42.01028 | 0.014044 |
0.595 | 51.68732 | 0.011512 |
0.6 | 63.59346 | 0.009435 |
A spreadsheet for
(Volts) |
(Amperes) |
|
0.4 | 0.005274 | 75.84672 |
0.405 | 0.0064 | 63.28565 |
0.41 | 0.007766 | 52.79679 |
0.415 | 0.009423 | 44.03979 |
0.42 | 0.011435 | 36.72991 |
0.425 | 0.013876 | 30.62901 |
0.43 | 0.016838 | 25.53795 |
0.435 | 0.020432 | 21.29022 |
0.44 | 0.024793 | 17.74668 |
0.445 | 0.030086 | 14.79101 |
0.45 | 0.036508 | 12.32605 |
0.455 | 0.044301 | 10.27061 |
0.46 | 0.053758 | 8.556892 |
0.465 | 0.065233 | 7.128278 |
0.47 | 0.079158 | 5.937492 |
0.475 | 0.096055 | 4.945067 |
0.48 | 0.11656 | 4.118066 |
0.485 | 0.141441 | 3.428998 |
0.495 | 0.20827 | 2.376718 |
0.5 | 0.252728 | 1.978408 |
0.505 | 0.306677 | 1.646686 |
0.51 | 0.372141 | 1.370449 |
0.515 | 0.451579 | 1.140443 |
0.52 | 0.547974 | 0.948949 |
0.525 | 0.664947 | 0.789537 |
0.53 | 0.806888 | 0.656844 |
0.535 | 0.979129 | 0.546404 |
0.54 | 1.188137 | 0.454493 |
0.545 | 1.44176 | 0.37801 |
0.55 | 1.749522 | 0.314372 |
0.555 | 2.122981 | 0.261425 |
0.56 | 2.576159 | 0.217378 |
0.565 | 3.126073 | 0.180738 |
0.57 | 3.793374 | 0.150262 |
0.575 | 4.603119 | 0.124915 |
0.58 | 5.585715 | 0.103836 |
0.585 | 6.778058 | 0.086308 |
0.59 | 8.224923 | 0.071733 |
0.595 | 9.98064 | 0.059615 |
0.6 | 12.11114 | 0.049541 |
A spreadsheet for
(Volts) |
(Amperes) |
|
0.4 | 0.002004 | 199.5582 |
0.405 | 0.002403 | 168.5349 |
0.41 | 0.002881 | 142.3127 |
0.415 | 0.003454 | 120.1526 |
0.42 | 0.004141 | 101.4283 |
0.425 | 0.004964 | 85.60991 |
0.43 | 0.005952 | 72.24847 |
0.435 | 0.007135 | 60.96416 |
0.44 | 0.008554 | 51.43551 |
0.445 | 0.010256 | 43.39059 |
0.45 | 0.012295 | 36.59933 |
0.455 | 0.014741 | 30.86719 |
0.46 | 0.017672 | 26.02967 |
0.465 | 0.021187 | 21.9477 |
0.47 | 0.0254 | 18.50372 |
0.475 | 0.030452 | 15.59839 |
0.48 | 0.036508 | 13.14778 |
0.485 | 0.043769 | 11.08098 |
0.495 | 0.062909 | 7.868498 |
0.5 | 0.07542 | 6.629515 |
0.505 | 0.09042 | 5.585066 |
0.51 | 0.108402 | 4.704703 |
0.515 | 0.129961 | 3.962729 |
0.52 | 0.155807 | 3.337456 |
0.525 | 0.186794 | 2.810585 |
0.53 | 0.223943 | 2.366674 |
0.535 | 0.26848 | 1.992698 |
0.54 | 0.321875 | 1.67767 |
0.545 | 0.385889 | 1.412324 |
0.55 | 0.462633 | 1.188846 |
0.555 | 0.554641 | 1.000647 |
0.56 | 0.664947 | 0.842173 |
0.565 | 0.79719 | 0.70874 |
0.57 | 0.955733 | 0.596401 |
0.575 | 1.145807 | 0.50183 |
0.58 | 1.373682 | 0.422223 |
0.585 | 1.646877 | 0.355218 |
0.59 | 1.974404 | 0.298824 |
0.595 | 2.367069 | 0.251366 |
0.6 | 2.837827 | 0.211429 |
Explanation of Solution
Given information: Th first symbol i.e. Euler’s number is
It is given that the expression for the current-voltage characteristic curve for a semiconductor diode as a function of temperature
Here,
Formula to calculate the resistance across the diode is,
Here,
The value of magnitude of electron charge is
The value of Boltzmann’s constant is
The value of voltage across the diode varies from
From equation (1), formula to calculate the current across a semiconductor diode temperature
Here,
Substitute
Thus, the current across a semiconductor diode temperature
From equation (2), formula to calculate the resistance across the diode is,
Here,
Substitute
Thus, the resistance across the diode is
As the value of voltage across the diode varies from
Thus, a spreadsheet for
(Volts) |
(Amperes) |
|
0.4 | 0.015932 | 25.1067 |
0.405 | 0.019602 | 20.66116 |
0.41 | 0.024117 | 17.00046 |
0.415 | 0.029673 | 13.98578 |
0.42 | 0.036508 | 11.50433 |
0.425 | 0.044918 | 9.461686 |
0.43 | 0.055264 | 7.780834 |
0.435 | 0.067995 | 6.397529 |
0.44 | 0.083657 | 5.259572 |
0.445 | 0.102927 | 4.323453 |
0.45 | 0.126637 | 3.553464 |
0.455 | 0.155807 | 2.92028 |
0.46 | 0.191697 | 2.39962 |
0.465 | 0.235855 | 1.97155 |
0.47 | 0.290184 | 1.619662 |
0.475 | 0.357027 | 1.330432 |
0.48 | 0.439268 | 1.092727 |
0.485 | 0.540454 | 0.897394 |
0.495 | 0.818117 | 0.605048 |
0.5 | 1.006569 | 0.496737 |
0.505 | 1.238432 | 0.407774 |
0.51 | 1.523704 | 0.334711 |
0.515 | 1.874688 | 0.274712 |
0.52 | 2.306521 | 0.225448 |
0.525 | 2.837827 | 0.185001 |
0.53 | 3.491518 | 0.151796 |
0.535 | 4.295787 | 0.124541 |
0.54 | 5.285319 | 0.10217 |
0.545 | 6.502788 | 0.08381 |
0.55 | 8.000701 | 0.068744 |
0.555 | 9.843657 | 0.056381 |
0.56 | 12.11114 | 0.046238 |
0.565 | 14.90093 | 0.037917 |
0.57 | 18.33335 | 0.031091 |
0.575 | 22.55642 | 0.025492 |
0.58 | 27.75228 | 0.020899 |
0.585 | 34.145 | 0.017133 |
0.59 | 42.01028 | 0.014044 |
0.595 | 51.68732 | 0.011512 |
0.6 | 63.59346 | 0.009435 |
From equation (1), formula to calculate the current across a semiconductor diode temperature
Here,
Substitute
Thus, the current across a semiconductor diode temperature
From equation (2), formula to calculate the resistance across the diode is,
Here,
Substitute
Thus, the resistance across the diode is
As the value of voltage across the diode varies from
Thus, a spreadsheet for
(Volts) |
(Amperes) |
|
0.4 | 0.005274 | 75.84672 |
0.405 | 0.0064 | 63.28565 |
0.41 | 0.007766 | 52.79679 |
0.415 | 0.009423 | 44.03979 |
0.42 | 0.011435 | 36.72991 |
0.425 | 0.013876 | 30.62901 |
0.43 | 0.016838 | 25.53795 |
0.435 | 0.020432 | 21.29022 |
0.44 | 0.024793 | 17.74668 |
0.445 | 0.030086 | 14.79101 |
0.45 | 0.036508 | 12.32605 |
0.455 | 0.044301 | 10.27061 |
0.46 | 0.053758 | 8.556892 |
0.465 | 0.065233 | 7.128278 |
0.47 | 0.079158 | 5.937492 |
0.475 | 0.096055 | 4.945067 |
0.48 | 0.11656 | 4.118066 |
0.485 | 0.141441 | 3.428998 |
0.495 | 0.20827 | 2.376718 |
0.5 | 0.252728 | 1.978408 |
0.505 | 0.306677 | 1.646686 |
0.51 | 0.372141 | 1.370449 |
0.515 | 0.451579 | 1.140443 |
0.52 | 0.547974 | 0.948949 |
0.525 | 0.664947 | 0.789537 |
0.53 | 0.806888 | 0.656844 |
0.535 | 0.979129 | 0.546404 |
0.54 | 1.188137 | 0.454493 |
0.545 | 1.44176 | 0.37801 |
0.55 | 1.749522 | 0.314372 |
0.555 | 2.122981 | 0.261425 |
0.56 | 2.576159 | 0.217378 |
0.565 | 3.126073 | 0.180738 |
0.57 | 3.793374 | 0.150262 |
0.575 | 4.603119 | 0.124915 |
0.58 | 5.585715 | 0.103836 |
0.585 | 6.778058 | 0.086308 |
0.59 | 8.224923 | 0.071733 |
0.595 | 9.98064 | 0.059615 |
0.6 | 12.11114 | 0.049541 |
From equation (1), formula to calculate the current across a semiconductor diode temperature
Here,
Substitute
Thus, the current across a semiconductor diode temperature
From equation (2), formula to calculate the resistance across the diode is,
Here,
Substitute
Thus, the resistance across the diode is
As the value of voltage across the diode varies from
Thus, a spreadsheet for
(Volts) |
(Amperes) |
|
0.4 | 0.002004 | 199.5582 |
0.405 | 0.002403 | 168.5349 |
0.41 | 0.002881 | 142.3127 |
0.415 | 0.003454 | 120.1526 |
0.42 | 0.004141 | 101.4283 |
0.425 | 0.004964 | 85.60991 |
0.43 | 0.005952 | 72.24847 |
0.435 | 0.007135 | 60.96416 |
0.44 | 0.008554 | 51.43551 |
0.445 | 0.010256 | 43.39059 |
0.45 | 0.012295 | 36.59933 |
0.455 | 0.014741 | 30.86719 |
0.46 | 0.017672 | 26.02967 |
0.465 | 0.021187 | 21.9477 |
0.47 | 0.0254 | 18.50372 |
0.475 | 0.030452 | 15.59839 |
0.48 | 0.036508 | 13.14778 |
0.485 | 0.043769 | 11.08098 |
0.495 | 0.062909 | 7.868498 |
0.5 | 0.07542 | 6.629515 |
0.505 | 0.09042 | 5.585066 |
0.51 | 0.108402 | 4.704703 |
0.515 | 0.129961 | 3.962729 |
0.52 | 0.155807 | 3.337456 |
0.525 | 0.186794 | 2.810585 |
0.53 | 0.223943 | 2.366674 |
0.535 | 0.26848 | 1.992698 |
0.54 | 0.321875 | 1.67767 |
0.545 | 0.385889 | 1.412324 |
0.55 | 0.462633 | 1.188846 |
0.555 | 0.554641 | 1.000647 |
0.56 | 0.664947 | 0.842173 |
0.565 | 0.79719 | 0.70874 |
0.57 | 0.955733 | 0.596401 |
0.575 | 1.145807 | 0.50183 |
0.58 | 1.373682 | 0.422223 |
0.585 | 1.646877 | 0.355218 |
0.59 | 1.974404 | 0.298824 |
0.595 | 2.367069 | 0.251366 |
0.6 | 2.837827 | 0.211429 |
Conclusion:
Therefore, a spreadsheet for
(Volts) |
(Amperes) |
|
0.4 | 0.015932 | 25.1067 |
0.405 | 0.019602 | 20.66116 |
0.41 | 0.024117 | 17.00046 |
0.415 | 0.029673 | 13.98578 |
0.42 | 0.036508 | 11.50433 |
0.425 | 0.044918 | 9.461686 |
0.43 | 0.055264 | 7.780834 |
0.435 | 0.067995 | 6.397529 |
0.44 | 0.083657 | 5.259572 |
0.445 | 0.102927 | 4.323453 |
0.45 | 0.126637 | 3.553464 |
0.455 | 0.155807 | 2.92028 |
0.46 | 0.191697 | 2.39962 |
0.465 | 0.235855 | 1.97155 |
0.47 | 0.290184 | 1.619662 |
0.475 | 0.357027 | 1.330432 |
0.48 | 0.439268 | 1.092727 |
0.485 | 0.540454 | 0.897394 |
0.495 | 0.818117 | 0.605048 |
0.5 | 1.006569 | 0.496737 |
0.505 | 1.238432 | 0.407774 |
0.51 | 1.523704 | 0.334711 |
0.515 | 1.874688 | 0.274712 |
0.52 | 2.306521 | 0.225448 |
0.525 | 2.837827 | 0.185001 |
0.53 | 3.491518 | 0.151796 |
0.535 | 4.295787 | 0.124541 |
0.54 | 5.285319 | 0.10217 |
0.545 | 6.502788 | 0.08381 |
0.55 | 8.000701 | 0.068744 |
0.555 | 9.843657 | 0.056381 |
0.56 | 12.11114 | 0.046238 |
0.565 | 14.90093 | 0.037917 |
0.57 | 18.33335 | 0.031091 |
0.575 | 22.55642 | 0.025492 |
0.58 | 27.75228 | 0.020899 |
0.585 | 34.145 | 0.017133 |
0.59 | 42.01028 | 0.014044 |
0.595 | 51.68732 | 0.011512 |
0.6 | 63.59346 | 0.009435 |
A spreadsheet for
(Volts) |
(Amperes) |
|
0.4 | 0.005274 | 75.84672 |
0.405 | 0.0064 | 63.28565 |
0.41 | 0.007766 | 52.79679 |
0.415 | 0.009423 | 44.03979 |
0.42 | 0.011435 | 36.72991 |
0.425 | 0.013876 | 30.62901 |
0.43 | 0.016838 | 25.53795 |
0.435 | 0.020432 | 21.29022 |
0.44 | 0.024793 | 17.74668 |
0.445 | 0.030086 | 14.79101 |
0.45 | 0.036508 | 12.32605 |
0.455 | 0.044301 | 10.27061 |
0.46 | 0.053758 | 8.556892 |
0.465 | 0.065233 | 7.128278 |
0.47 | 0.079158 | 5.937492 |
0.475 | 0.096055 | 4.945067 |
0.48 | 0.11656 | 4.118066 |
0.485 | 0.141441 | 3.428998 |
0.495 | 0.20827 | 2.376718 |
0.5 | 0.252728 | 1.978408 |
0.505 | 0.306677 | 1.646686 |
0.51 | 0.372141 | 1.370449 |
0.515 | 0.451579 | 1.140443 |
0.52 | 0.547974 | 0.948949 |
0.525 | 0.664947 | 0.789537 |
0.53 | 0.806888 | 0.656844 |
0.535 | 0.979129 | 0.546404 |
0.54 | 1.188137 | 0.454493 |
0.545 | 1.44176 | 0.37801 |
0.55 | 1.749522 | 0.314372 |
0.555 | 2.122981 | 0.261425 |
0.56 | 2.576159 | 0.217378 |
0.565 | 3.126073 | 0.180738 |
0.57 | 3.793374 | 0.150262 |
0.575 | 4.603119 | 0.124915 |
0.58 | 5.585715 | 0.103836 |
0.585 | 6.778058 | 0.086308 |
0.59 | 8.224923 | 0.071733 |
0.595 | 9.98064 | 0.059615 |
0.6 | 12.11114 | 0.049541 |
A spreadsheet for
(Volts) |
(Amperes) |
|
0.4 | 0.002004 | 199.5582 |
0.405 | 0.002403 | 168.5349 |
0.41 | 0.002881 | 142.3127 |
0.415 | 0.003454 | 120.1526 |
0.42 | 0.004141 | 101.4283 |
0.425 | 0.004964 | 85.60991 |
0.43 | 0.005952 | 72.24847 |
0.435 | 0.007135 | 60.96416 |
0.44 | 0.008554 | 51.43551 |
0.445 | 0.010256 | 43.39059 |
0.45 | 0.012295 | 36.59933 |
0.455 | 0.014741 | 30.86719 |
0.46 | 0.017672 | 26.02967 |
0.465 | 0.021187 | 21.9477 |
0.47 | 0.0254 | 18.50372 |
0.475 | 0.030452 | 15.59839 |
0.48 | 0.036508 | 13.14778 |
0.485 | 0.043769 | 11.08098 |
0.495 | 0.062909 | 7.868498 |
0.5 | 0.07542 | 6.629515 |
0.505 | 0.09042 | 5.585066 |
0.51 | 0.108402 | 4.704703 |
0.515 | 0.129961 | 3.962729 |
0.52 | 0.155807 | 3.337456 |
0.525 | 0.186794 | 2.810585 |
0.53 | 0.223943 | 2.366674 |
0.535 | 0.26848 | 1.992698 |
0.54 | 0.321875 | 1.67767 |
0.545 | 0.385889 | 1.412324 |
0.55 | 0.462633 | 1.188846 |
0.555 | 0.554641 | 1.000647 |
0.56 | 0.664947 | 0.842173 |
0.565 | 0.79719 | 0.70874 |
0.57 | 0.955733 | 0.596401 |
0.575 | 1.145807 | 0.50183 |
0.58 | 1.373682 | 0.422223 |
0.585 | 1.646877 | 0.355218 |
0.59 | 1.974404 | 0.298824 |
0.595 | 2.367069 | 0.251366 |
0.6 | 2.837827 | 0.211429 |
(b)
To draw: The graph for
(b)
Answer to Problem 27.80AP
The graph for
The graph for
Explanation of Solution
Given information: The first symbol i.e. Euler’s number is
The different values of the
Thus, the graph for
The different values of the
Thus, the graph for
The different values of the
The graph for
Conclusion:
Therefore, the graph for
Therefore, the graph for
Therefore, the graph for
Want to see more full solutions like this?
Chapter 27 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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