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For Third year Biophysics Special Students. Prepared by: Abdo A. Elfiky. Assistant Lecturer, Biophysics Department, Faculty of Science, Cairo University. Introduction Integrated circuit (IC), Microcircuit, Microchip, Silicon chip, or Chip) is a small electronic device made out of a semiconductor material. The first integrated circuit was developed in the 1950s. There are two main advantages of ICs over discrete circuits: cost and performance. 741 type op-amp (1968) IC 741 Biophysics department Op-Amp positioning on the board IC 741 Biophysics department Operational amplifier Op-amps were used to perform mathematical operations such as addition, subtraction, integration,and differentiation, hence the term operational. The op-amp has two input terminals, called the inverting input (-) and the non-inverting input (+), and one output terminal. IDEAL OP-AMP Open-Loop Voltage Gain Aol 100,000 volts 1 volt 1 volt Closed-Loop Voltage Gain Acl Op-amp can be connected using negative feedback to stabilize the gain and increase frequency response. Negative feedback takes a portion of the output and applies it back out of phase with the input, creating an effective reduction in gain. This closed-loop gain is usually much less than the open-loop gain and independent of it. Voltage Follower Used as a buffer amplifier to eliminate loading effects or to interface impedances (connecting a device with a high source impedance to a device with a low input impedance) -99,999 V 100,000 volts 1 volt Voltage Follower Non-Inverting Amplifier In a non-inverting op-amp, the input signal is applied to the non-inverting input (+). The output is applied back to the inverting input (-) through the feedback network formed by Ri and Rf . - 49,999 V 100,000 volts If Rf = Ri = 1KΩ, Then Vf = ½ Vout 1 volt Acl = 100,000 / 49,999 = ~ 2 Inverting Amplifier In an inverting op-amp, the input signal is applied through a series of input resistor Ri to the inverting input. Also, the output is feedback through Rf to the same input, The non-inverting input is grounded. - 50,001 V 100,000 volts If Rf = Ri = 1KΩ, Then Vf = ½ Vout 1 volt Acl = 100,000 / 50,001 = ~ 2 Procedure:Non-inverting connection: 1. Connect the circuit of the non-inverting op-amp. [ Ri (constant) = 1000 ; Rf (variable) = 0.5K, 1k, 2k, 3k, 5.5k, 8K and 10k)]. 2. For each value of the Rf find the closed loop gain Acl experimentally (Vout/Vin), and theoretically ((Rf+Ri)/Ri). 3. Draw a relation between Acl and the values of Rf experimental and theoretical. Non-inverting op-amp Rf (*10+3 ohm) Vin (volts) Vout (volts) Acl (exp.) Acl (theo.) 0.5 2 3.9 1.95 1.5 1 2 3.8 1.9 2 2 2 5.4 2.7 3 3 2 7.1 3.55 4 5.5 2 11.6 5.8 6.5 8 1 7.6 7.6 9 9.8 1 9 9 10.8 Non-inverting op-amp 12 10 Acl 8 6 4 2 0 0 2 4 6 Rf*10+3 8 10 12 Procedure:Inverting connection: 1. Connect the circuit of the Inverting op-amp. [ Ri (constant) = 1000 ; Rf (variable) = 0.5K, 1k, 2k, 3k, 5.5k, 8K and 10k)]. 2. For each value of the Rf find the closed loop gain Acl experimentally (Vout/Vin), and theoretically (–Rf/Ri). 3. Draw a relation between Acl (experimental and theoretical) and the values of Rf. Inverting op-amp Rf (*10+3 ohm) Vin (volts) Vout (volts) Acl (exp.) Acl (theo.) 0.5 2 1 0.5 0.5 1 2 2 1 1 2 2 4.6 2.3 2 3 2 5.3 2.65 3 5.5 1 4.8 4.8 5.5 8 1 6.8 6.8 8 9.75 1 8.4 8.4 9.75 Inverting op-amp 12 10 Acl 8 6 4 2 0 0 2 4 6 Rf*10+3 8 10 12 Summing Amplifier Procedure:Connect the circuit of the Inverting op-amp. [ Rin1 ,Rin2 are constant = 1000 ; Rf (variable) = 1k, 2k, 3k, 5.5k, and 8K ]. 2. For each value of the Rf find the output voltage Vout experimentally, and theoretically (–Rf/R(Vin1+Vin2)). 3. Draw a relation between Vout (experimental and theoretical) and the values of Rf. 1. Summing Amplifier Rf (*10+3 ohm) Vin1 Vin2 Vout (exp.) Vout (theo.) 0.994 0.5 0.5 0.82 0.994 2.07 0.5 0.5 2 2.07 3.005 0.5 0.5 3 3.005 5.9 0.5 0.5 6 5.9 8.02 0.5 0.5 7.6 8.02 Summing Amplifier 9 8 7 Vout 6 5 4 3 2 1 0 0 2 4 6 Rf *10+3 8 10 Thank you 11/5/2008 prepared by: Abdo A. Elfiky 26