What are the values of VP and ID for VGS =0.5 V of an N-channel FET th...
Given data:
VGS = 0.5 V
IDSS = 10 mA
VDS = 5 V
gmo = 5 mA/V
To find:
Values of VP and ID
- Calculation of VP:
VP can be calculated using the formula:
VP = VGS - ID/2 * (1/gmo)
Given:
VGS = 0.5 V
IDSS = 10 mA
gmo = 5 mA/V
Substituting the values in the formula:
VP = 0.5 V - (10 mA)/(2 * 5 mA/V)
VP = 0.5 V - 1 V
VP = -0.5 V
- Calculation of ID:
ID can be calculated using the formula:
ID = IDSS * (1 - VGS/VP)^2
Given:
VGS = 0.5 V
IDSS = 10 mA
VP = -0.5 V
Substituting the values in the formula:
ID = 10 mA * (1 - 0.5 V / -0.5 V)^2
ID = 10 mA * (1 + 1)^2
ID = 10 mA * 4
ID = 40 mA
Therefore, the values of VP and ID for VGS = 0.5 V are:
VP = -0.5 V
ID = 40 mA
Hence, the correct answer is option C) 4 V and 7.65 mA.