Given the following RC circuit, with R = 100.0kN and C = 12.5µF, determine the time constant T. Then let a voltage of 45.0 V be applied to a charging capacitor. How long will it take for the capacitor to reach four fifths of the original charge Qmas? R V
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- R A real battery with an emf of 12v t a terminal voltage of U vis connected to a load resistor which di ssipetes energy at a rate of 3.5w. The terminals are defined by the points atb. the internal resistance, r, of the battery is:A capacitor discharges through a 220kN resistor and drops to its original voltage in 3 min. How many farads is the capacitor? V =VneRČQ ✰ ✰ O A capacitor Co is placed in a simple loop circuit with a variable voltage source set at Vo, producing stored charge Qo on the capacitor. If the The capacitor is replaced with C₁ with a capacitance of 3.6℃o, and the voltage changed to 1.6V, What is the new charge Qnew in terms of Qo? Supply the missing numerical factor below. Qnew =( Qo
- A charged capacitor of capacitance C can be discharged through a resistor R. At time t after the discharge has started, the charge Q remaining on the capacitor can be given by the expression Q = Qoe-t/RC State the significance of Qo. Use this equation to obtain an expression for the half-life T1/2 of the discharge process. Use this equation to define the time constant t of the discharge. Compare the values of T1/2 and t.Using your data, answer the following questions: a. To three decimal places, what fraction of the total charge does a capacitor in an RC circuit have after charging for 4.15 time constants; the fraction f such that q(4.15t) = fQmaxA) what is the equivalent capacitance of C eq of the circuit? B) Find the voltage across and charge stored on EACH of the capacitors in the circuit.
- You have a capacitor that's discharging through a resistor toward zero voltage. What fraction of the inital voltage will the capacitor have after time 2RC?In the circuit below the voltage of the battery is 40 V. C1 = 20.0μF, C₂ = 5.0 μF, C3 = 30.0 μF, C₁ = 30.0 uF. Find the equivalent capacitance in microfarad. Find the voltage for the capacitor C₂. HH HH 30% T TE 1 ptsConsider an electric circuit containing a capacitor, resistor, and battery; see the figure. The charge Q(t) on the capacitor satisfies the R V equation R dt O' OP V, where R is the C resistance, C is the capacitance, and V is the constant voltage supplied by the battery. a) If Q(0) = 0, find Q(t) at any time t, and sketch the graph of Q versus t. Q(t) = %3D b) Find the limiting value QL that Q(t) approaches after a long time. The limiting value Qz that Q(t) approaches after a long time is QL c) Suppose that Q(tı) = QL and that at time t = t; the battery is removed and the circuit is closed again. Find Q(t) for t > tį and sketch its graph. Q(t) =
- Ginko has two parallel plates which are uncharged. They are connected to the RC circuit shown below. Ginko knows the following things abaout this RC cuircuit: The C1 capacitor is filled with air, The C1 capacitor has a plate area of 6cm^2, The C1 capacitor has a plate seperation of 0.500mm, The C2 capacitor is filled with with cardborad that has a dielectric constant of 3.7, The C2 capacitor has the same separation as C1, The C2 capacitor has twice the plate area of C1, The switch remained at a for a long time and then was throuwn to b. Figure out the final charge on each capacitor. b C₂ C₁ 18.0 V 2.00 kn GinkoIn the circuit below, the values of the capacitors are C1=9.38uF, C2=2.99uF, C3=5.18uF. The voltage of the battery is 5.53V.What is the charge (uC) on capacitor C2 to 3 sig figs?Differential Equations: Electric Circuits When a resistance R (ohms) and a capacitance C (farads) are connected in series with an emf E (volts), the current I (amperes) is given by the equation: dE 1 R- +-I = dtC dI C dt If R = 1000 ohms, C = 5x10-4farad.and I t = 1 second and E = 100 volts. a. 1.35 amperes b. 2.35 amperes c. 3.35 amperes d. 4.35 amperes 10 amperes for t = 0, find the current for