b. About how many time constants does it take to charge a capacitor in an RC circuit to 50% of its maximum value?
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![**Question:**
b. About how many time constants does it take to charge a capacitor in an RC circuit to 50% of its maximum value?
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- What multiple of the time constant t gives the time taken by an initially uncharged capacitor in an RC series circuit to be charged to 88.1% of its final charge? Number i UnitsRC Circuits: In this circuit, the battery has voltage E = 2.0 V, and each resistor has resistance R = 10 Q. The capacitor, which has capacitance C = 1.0 x10-12 F, carries. initial charge 3.0 x 10-12 C, with the positive charge on the right plate. The switch is closed at time t = 0 s. a. Immediately after time t = 0, what current flows through resistor 1? b. A long time later, what current flows through resistor 1? c. Sketch a rough graph of the charge on the right capacitor plate, as a function of time. દ 8. ww C R 2 R3Two students measure the time constant of an RC circuit. The first student charges the capacitor using a 12 V battery, then lets the capacitor discharge the resistor. The second student repeats the experiment using a 5 V battery. Which student measures the longer time constant? Explain.
- Given the equation, V =Voe-(2.6x1 )t, at what time will %3D oe the voltage drop by its original value? Select one: a. t= 2566 s b. t= 2666 s C. t= 2746 s d. t 2646 s Given the equation, V – Vne RC what size of resistor would be %3D required to drop the voltage on a 250µF capacitor to its original voltage in 2 min.? Select one: a. R= 470 k2 b. R= 450 k 2 %3D R = 460 k2 С. d. R= 440 kRC Circuits 6. The charge on a C = 0.4F capacitor is measured as a function of time in a physics lab and produces the following graph. The capacitor is part of a simple circuit having only a battery, a capacitor, and a resistor in series. The capacitor starts uncharged and at t=0s, the battery is plugged in and the capacitor charges. In general, the charge of a charging capacitor is given by: q(t) = Qmax(1 – e-t/RC) тах Charge vs. Time 20 18 16 14 ū 12 10 8 4 2 1 3 4 7 8. 9 10 Time (s) а. Use the graph to estimate the time constant for this circuit, T. b. Estimate the resistance of the resistor R in this circuit. с. Estimate the battery's voltage AV in this circuit. Charge (C)A 200-V battery is attached to a 100-Ohm resistor and a 10 μF capacitor. What is the time constant of this circuit? O19 ms 1.0 ms 38 ms O2.0 ms 200 ms
- An RC circuit has a 11 F capacitor and a 0.5 ogm resistor. If the initial charge stored on the capacitor is 20 C then at what time will the charge be 2.5 C?Q7.1 The circuit shown below is an RC circuit that consists of R1 = 100 kn, R2 = 200 kn, R3 = 300 kn, C = 5.00 μF, and E = 9.00 V. When the switch is closed at t = 0, the capacitor starts from an uncharged state. The following inquiries relate to the performance of the circuit. a. What is the RC circuit's time constant? b. When will the capacitor be 80% charged? c. At that point, what is the current passing through the R3 resistor? E S R₁ R3 R₂ www