{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<h1> Chapter No 8 : Metal Semiconductor Field Effect Transistor <h1>"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 8.1, Page No 323"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#initialisation of variables\n",
"I_DSS = 15.0 #in mA\n",
"V_GS_off = -5.0 #in V\n",
"V_GS = 0 #in V\n",
"\n",
"#CALCULATIONS\n",
"I_D = I_DSS*((1-(V_GS/V_GS_off))**2) #in mA\n",
"V_GS = -1 #in V\n",
"I_D1 = I_DSS*((1.0-(V_GS/V_GS_off))**2) #in mA\n",
"V_GS = -4 #in V\n",
"I_D2 = I_DSS*((1-(V_GS/V_GS_off))**2) #in mA\n",
"\n",
"#RESULTS\n",
"print('When V_GS=0, the drain current is =%.f mA ' %I_D)\n",
"print('When V_GS=-1V, the drain current is =%.2f mA ' %I_D1)\n",
"print('The interplanner spacing is =%.2f \u00c5' %I_D2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"When V_GS=0, the drain current is =15 mA \n",
"When V_GS=-1V, the drain current is =9.60 mA \n",
"The interplanner spacing is =0.60 \u00c5\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 8.4, Page No 327"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#initialisation of variables\n",
"I_DSS = 20.0 #in mA\n",
"V_P = -8 #in V\n",
"g_mo = 5000.0 #in \u00b5s\n",
"V_GS = -4.0 #in V\n",
"\n",
"#CALCULATIONS\n",
"\n",
"I_D = I_DSS*((1-(V_GS/V_P))**2) #in mA\n",
"g_m = g_mo*(1-(V_GS/V_P)) #in \u00b5s\n",
"\n",
"#RESULTS\n",
"print('The value of drain current is =%.f mA ' %I_D)\n",
"print('The transconductance is =%.f \u00b5s' %g_m)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The value of drain current is =5 mA \n",
"The transconductance is =2500 \u00b5s\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 8.5 Page No 327"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"\n",
"\n",
"#initialisation of variables\n",
"I_D1 = 10.0 #in mA\n",
"V_GS = -12.0 #in V\n",
"V_GSth = -3.0 #in V\n",
"\n",
"#CALCULATIONS\n",
"K = I_D1/( (V_GS-V_GSth)**2 ) #in mA/V\n",
"V_GS= -6 #in V\n",
"I_D = K*((V_GS-V_GSth)**2) #in mA\n",
"\n",
"#RESULTS\n",
"print('The value of I_D is =%.2f mA ' %I_D)\n",
"print('Approximation error')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The value of I_D is =1.11 mA \n",
"Approximation error\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 8.7, Page No 327"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#initialisation of variables\n",
"V_GS = -2.0 #in V\n",
"V_P = -5.0 #in V\n",
"V_DS = V_GS-V_P #in V\n",
"I_DSS = 8.0 #in mA\n",
"\n",
"#CALCULATIONS\n",
"I_D = I_DSS*((1-(V_GS/V_P))**2) #in mA\n",
"\n",
"#RESULTS\n",
"print('The minimum value of V_DS is =%.f V ' %V_DS)\n",
"print('The drain current is =%.2f mA' %I_D)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The minimum value of V_DS is =3 V \n",
"The drain current is =2.88 mA\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 8.8 Page No 328"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#initialisation of variables\n",
"V_P = -2 #in V\n",
"I_DSS = 1.65 #in mA\n",
"I_D = 0.8 #in mA\n",
"V_DD = 24.0 #in V\n",
"\n",
"#CALCULATIONS\n",
"V_GS = V_P*(1- math.sqrt(I_D/I_DSS) ) #in V\n",
"g_mo = -(2*I_DSS)/V_P #in mS\n",
"g_m = g_mo*(1-(V_GS/V_P)) #in mS\n",
"\n",
"#RESULTS\n",
"print('The value of V_GS is =%.2f V ' %V_GS)\n",
"print('The value of g_m is =%.2f mS' %g_m)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The value of V_GS is =-0.61 V \n",
"The value of g_m is =1.15 mS\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 8.9 Page No 328"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#initialisation of variables\n",
"V_P = 5.0 #in V\n",
"I_DSS = -40.0 #in mA\n",
"I_D = -15.0 #in mA\n",
"\n",
"#CALCULATIONS\n",
"V_GS = V_P*(math.sqrt(I_D/I_DSS)-1 ) #in V\n",
"\n",
"#RESULTS\n",
"print('The gate source voltage is =%.2f V' %(V_GS*-1))\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The gate source voltage is =1.94 V\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 8.10, Page No 328"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#initialisation of variables\n",
"I_D1 = 1.9 #in mA\n",
"I_D2 = 1.0 #in mA\n",
"\n",
"#CALCULATIONS\n",
"del_I_D = I_D1-I_D2 #in mA\n",
"V_GS2 = -3.3 #in V\n",
"V_GS1 = -3.0 #in V\n",
"del_V_GS = V_GS1-V_GS2 #in V\n",
"g_m = del_I_D/del_V_GS #in mA/V\n",
"g_m = g_m * 10**3 #in \u00b5 mhos\n",
"\n",
"#RESULTS\n",
"print('The value of transconductance is =%.f \u00b5 mhos ' %g_m)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The value of transconductance is =3000 \u00b5 mhos \n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 8.11 Page No 329"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math \n",
"\n",
"#initialisation of variables\n",
"V_DS1 = 14.0 #in V\n",
"V_DS2 = 5.0 #in V\n",
"del_V_DS = V_DS1-V_DS2 # in V\n",
"I_D1 = 3.3 #in mA\n",
"I_D2 = 3 # in mA\n",
"\n",
"#CALCULATIONS\n",
"del_I_D = I_D1-I_D2 #in mA\n",
"r_d = del_V_DS/del_I_D #in k ohms\n",
"print('The drain resistance is =%.f k ohms' %r_d)\n",
"V_GS1 = 0.4 #in V\n",
"V_GS2 = 0.1 #in V\n",
"del_V_GS = V_GS1-V_GS2 #in V\n",
"I_D1 = 3.3 #in mA\n",
"I_D2 = 0.71 #in mA\n",
"del_I_D = I_D1-I_D2 # in mA\n",
"g_m = del_I_D/del_V_GS # in mA/V\n",
"g_m = g_m * 10**3 # in \u00b5mhos\n",
"\n",
"\n",
"#RESULTS\n",
"print('The transconductance is =%.f \u00b5mhos ' %g_m)\n",
"Miu =r_d*10**3*g_m*10**-6\n",
"print('Amplification factor is =%.f ' %Miu)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The drain resistance is =30 k ohms\n",
"The transconductance is =8633 \u00b5mhos \n",
"Amplification factor is =259 \n"
]
}
],
"prompt_number": 9
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 8.12 Page No 334"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#initialisation of variables\n",
"q = 1.6*10**-19 #in C\n",
"N_D = 10**15*10**6 #electrons/m^3\n",
"a = 3*10**-4 #in cm\n",
"a=a*10**-2 #in m\n",
"\n",
"#CALCULATIONS\n",
"Epsilon_o = (36 * math.pi * 10**9)**-1\n",
"Epsilon = 12*Epsilon_o\n",
"V_P = (q*N_D*((a)**2))/(2*Epsilon) #in V\n",
"print('Pinch off voltage is =%.2f V ' %V_P)\n",
"V_GS = 1.0 #in V\n",
"V_P = 2.0 #in V\n",
"b = a*( 1-math.sqrt(V_GS/V_P) ) #in m\n",
"b = b * 10**6 #in \u00b5m\n",
"\n",
"#RESULTS\n",
"print('The channel half width is =%.2f \u00b5m' %b)\n",
"# Note: In the book, the unit of channel half width is wrong."
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Pinch off voltage is =6.79 V \n",
"The channel half width is =0.88 \u00b5m\n"
]
}
],
"prompt_number": 10
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 8.13 Page No 335"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import math\n",
"\n",
"#initialisation of variables\n",
"I_DSS = 8.0 #in mA\n",
"V_P = -4.0 #in V\n",
"a = 3*10**-4 #in cm\n",
"N_D = 10**15 #in electrons/cm^3\n",
"I_D = 3.0 #in mA\n",
"\n",
"#CALCULATIONS\n",
"V_GS = V_P*( 1-math.sqrt(I_D/I_DSS) ) #in V\n",
"V_DS_sat = V_GS-V_P #in V\n",
"\n",
"\n",
"#RESULTS\n",
"print('The value of V_GS is =%.2f V' %V_GS)\n",
"print('The value of V_DS_sat is =%.2f V ' %V_DS_sat)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The value of V_GS is =-1.55 V\n",
"The value of V_DS_sat is =2.45 V \n"
]
}
],
"prompt_number": 11
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example No 8.14 Page No 335"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#initialisation of variables\n",
"V_P = -4 #in V\n",
"I_DSS = 9.0 #in mA\n",
"V_GS = -2.0 #in V\n",
"\n",
"#CALCULATIONS\n",
"I_D = I_DSS*(( 1-(V_GS/V_P) )**2) #in mA\n",
"\n",
"#RESULTS\n",
"print('The drain current is =%.2f mA ' %I_D)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The drain current is =2.25 mA \n"
]
}
],
"prompt_number": 12
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example No 8.15 Page No 335"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#initialisation of variables\n",
"I_DSS = 12.0 #in mA\n",
"V_P = -6.0 #in V\n",
"V_GS = -1.0 #in V\n",
"\n",
"#CALCULATIONS\n",
"g_mo = (-2*I_DSS)/V_P #in mA/V\n",
"g_m = g_mo*(1-(V_GS/V_P)) #in mS\n",
"\n",
"#RESULTS\n",
"print('The value of transconductance is =%.2f mS' %g_m)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The value of transconductance is =3.33 mS\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example No 8.16 Page No 336"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#initialisation of variables\n",
"I_DSS = 10.0 #in mA\n",
"V_P = -5.0 #in V\n",
"V_GS = -2.5 #in V\n",
"\n",
"#CALCULATIONS\n",
"g_m = ((-2*I_DSS)/V_P)*(1-(V_GS/V_P)) #in mS .... correction\n",
"I_D = I_DSS * ((1-(V_GS/V_P))**2) #in mA\n",
"\n",
"\n",
"#RESULTS\n",
"print('The transconductance is =%.f mS ' %g_m)\n",
"print('The drain current is =%.2f mA ' %I_D)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"The transconductance is =2 mS \n",
"The drain current is =2.50 mA \n"
]
}
],
"prompt_number": 14
}
],
"metadata": {}
}
]
}