A certain OTA with a transconductance of 5000 µS has a load resistance of 10 kÙ. If the input voltage is 100 mV, what is the output current? What is the output voltage?
Io = 5000uA/V * 0.1V = 500 uA=0.50 mA.
Vo = Io*R = 0.50mA * 10k = 5 Volts.
To find the output current of the OTA, you can use Ohm's Law:
Output current (Iout) = Output voltage (Vout) / Load resistance (Rload)
Given that the load resistance (Rload) is 10 kΩ and the input voltage is 100 mV, we can calculate the output voltage (Vout) using the formula for voltage gain:
Voltage Gain (Av) = transconductance (gm) * Rload
Given that the transconductance (gm) is 5000 µS and the load resistance (Rload) is 10 kΩ, we can calculate the voltage gain (Av):
Av = 5000 µS * 10 kΩ = 50 V
Next, we can calculate the output voltage (Vout):
Vout = Av * Input voltage
Vout = 50 * 100 mV = 5 V
Finally, we can plug the calculated output voltage (Vout) and load resistance (Rload) values into the Ohm's Law equation to find the output current (Iout):
Iout = Vout / Rload
Iout = 5 V / 10 kΩ = 500 µA
Therefore, the output current is 500 µA and the output voltage is 5 V.
To determine the output current and output voltage of the OTA (Operational Transconductance Amplifier), we'll need to use the given transconductance (gm) and load resistance values, along with the input voltage.
First, let's calculate the output current:
Output Current (Iout) = gm * Input Voltage
Given that the transconductance (gm) is 5000 µS (microsiemens) and the input voltage is 100 mV (millivolts):
Iout = 5000 µS * 100 mV
= 5000 * 10^-6 S * 100 * 10^-3 V
= 500 * 10^-6 A
= 500 µA (microamps)
So, the output current is 500 µA.
Next, let's calculate the output voltage:
Output Voltage (Vout) = Iout * Load Resistance
Given that the output current (Iout) is 500 µA (microamps) and the load resistance is 10 kΩ (kiloohms):
Vout = 500 µA * 10 kΩ
= 500 * 10^-6 A * 10 * 10^3 Ω
= 5000 * 10^(-6 + 3) V
= 5 V
Therefore, the output voltage is 5 V.
So, to summarize:
- The output current is 500 µA (microamps).
- The output voltage is 5 V.