A steady voltage of -0.75V is applied to an op-amp integrator having component values of R= 200 Kohm and C = 2.5μF. Assuming that the initial capacitor charge is zero, determine the value of the output voltage 100 ms after applying the input.
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- HINT: You will probably want to start this problem by calculating the effective capacitance of the circuit. Make sure to appropriately account for what is in parallel and what is in series as you do; the most straightforward way to do this traditionally is to set up smaller effective capacitors one segment at a time until you have reduced the entire capacitor network to a single effective capacitor, then calculate the time constant.You are given 3 identical capacitors with C = 1 µF each. Using only those capacitors, what is the ratio of the largest to smallest capacitance circuit you can create (Cmax/Cmin)? (a) 1 (b) 3 (c) 6 (d) 9In an RC series circuit, ℰℰ = 12.0 V, R = 1.07 MΩ, and C = 2.16 µF. (a) Calculate the time constant. (b) Find the maximum charge that will appear on the capacitor during charging. (c) How long does it take for the charge to build up to 20.5 µC?
- In many keyboards, the key switches are built as air-filled parallel-plate capacitors with a spacing that decreases when the key is pressed. This change in spacing increases the capacitance, which connected circuitry registers as a keypress. Suppose the plate area on a key is 44.8 mm2 and the unpressed plate separation is 0.63 mm. If the circuitry registers a keypress when the capacitance changes by 0.476 pF, calculate the distance (in mm) the key must travel to register a keypress.Find the net capacitance of this combination of series and parallel capacitors shown below. Use the following 11 µF, B = 6 µF, C = 2.0 µF, D = 2.0 µF, E = 0.50 µF, and F = 5 µF. values: A = A µF : B µF C µF : D µF E µF F µFA 10-7-F capacitor (100 nanofarads) is charged to 100 V and then disconnected. One can model the charge leakage of the capacitor with a RC circuit with no voltage source and the resistance of the air between the capacitor plates. On a cold dry day, the resistance of the air gap is 5x1013 2; on a humid day, the resistance is 8 x 10° 2. How long will it take the capacitor voltage to dissipate to half its original value on each day?
- Consider an initially uncharged capacitor in an RC circuit. The resistance is 25,957 Ohms and the capacitance is 555 x 10^-6 F. If the source potential being used to charge the capacitor is 14.8 V, how long after charging begins will the energy stored by the capacitor be 65.5% of its maximum value.Consider an initially uncharged capacitor in an RC circuit. The resistance is 20,000 Ohms and the capacitance is 500 x10• F. If the source potential being used to charge the capacitor is 15 V, how long after charging begins will the power delivered to the resistor be 25 % of its maximum value?A fully charged capacitor with a voltage of 120 V is discharged through a resistor. (a) What is the voltage across the capacitor at the end of five time constants?(b) At this time, what is the voltage across the resistor?