class: center, middle # EE-281 # Applications of First-Order Circuits ## Ozan Keysan [ozan.keysan.me](http://ozan.keysan.me) Office: C-113
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Tel: 210 7586 --- # Delay Circuits ### RC Circuit can introduce a time delay between input and output: ![](https://raw.githubusercontent.com/ozank/ee281/master/images/RC_delay_ex1.png) --- # Example ### If \\(R\_1 = 1.5 M\Omega\\), and \\(0 < R\_2 < 2.5 M\Omega\\), calculate the limits of the time constant. ![](https://raw.githubusercontent.com/ozank/ee281/master/images/RC_delay_ex1.png) --- # Example ### If the lamp turns on at 70 V, what is the frequency of the [neon-light flashing](http://youtu.be/lA-dU44my-g?t=45s)? (when \\(R\_2 = 2.5 M\Omega\\)) ![](https://raw.githubusercontent.com/ozank/ee281/master/images/RC_delay_ex1.png) --- # Photo-Flash Circuit ![](https://raw.githubusercontent.com/ozank/ee281/master/images/photoflash.png) ## Charging time usually assumed as 5RC --- # Photo-Flash Circuit Example #### If the current-limiting resistor is \\( 6 k\Omega\\), capacitor is \\( 2000 \mu F\\), charged to 240 V. #### Lamp resistance is \\(12 \Omega\\). Find a)peak charging current, b)time to charge, c)peak discharging current, d)total energy stored, e)and average power dissipated on the lamp. ![](https://raw.githubusercontent.com/ozank/ee281/master/images/photoflash.png) --- # Relay Circuits ![](http://www.electronics-lab.com/projects/misc/018/8_Channel_Relay_Pic.jpg) --- # Relay Circuits ![](https://raw.githubusercontent.com/ozank/ee281/master/images/relay_circuit.png) --- # Relay Example: ## A relay is operated by a 12-V battery. Resistance of the coil is \\(150 \Omega\\), and the inductance is \\(30 mH\\). If the magnetic switch operates at 50 mA, what is the relay delay time. --- # Automobile Ignition Switch ![](https://raw.githubusercontent.com/ozank/ee281/master/images/ignition_circuit.png) --- # Example ### A solenoid has \\(4 \Omega\\) resistance, and 6 mH inductance. The battery voltage is 12 V. What is the energy stored in the coil and voltage across the spark-plug if switch takes \\(1 \mu s\\) to open. --- # First Order OPAMP Circuits ### \\(R = 10 k\Omega\\), \\(C= 1 \mu F\\), \\(v(0)= 5 V\\), \\(v\_o(t) =?\\) ![](https://raw.githubusercontent.com/ozank/ee281/master/images/opamp_first_order_ex1.png) --- # First Order OPAMP Circuits ### \\(R = 10 k\Omega\\), \\(C= 1 \mu F\\), \\(v(0)= 5 V\\), \\(v\_o(t) =?\\) ![](https://raw.githubusercontent.com/ozank/ee281/master/images/opamp_first_order_ex1.png) --- # First Order OPAMP Circuits ![](https://raw.githubusercontent.com/ozank/ee281/master/images/opamp_first_order_ex2.png) --- # First Order OPAMP Circuits ### \\(v\_s = 3~V\\) ![](https://raw.githubusercontent.com/ozank/ee281/master/images/opamp_first_order_ex3.png) --- # Any questions? ## You can download this presentation from: [keysan.me/ee281](http://keysan.me/ee281)