No chatgpt pls will upvote I 0000LAn LC circuit features a 0.49 F capacitor and a 0.29 H inductor. At time t = 0 the capacitor ischarged with 1.8 C and the current is zero. At time t = 2.13 s what is...(a) The amount (size/absolute value) of charge held on the capacitor?(b) The amount (size/absolute value) of current flowing through the circuit?(c) The energy stored in the capacitor?(d) The energy stored in the inductor?(e) The magnitude of the voltage across the capacitor?(f) The magnitude of the voltage across the inductor?Submit Question

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Answered: 0000 L An LC circuit features a 0.49 F…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter33: Inductors And Ac Circuits

Section: Chapter Questions

Problem 84PQ

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When a camera uses a flash, a fully charged capacitor discharges through an inductor. In what time must the 0.100-A current through a 2.00-mH inductor be switched on or off to induce a 500-V emf?
In an oscillating LC circuit the maximum charge on the capacitor is 2.0 × 10-6 C and the maximum current through the inductor is 8.0 mA. (a) What is the period of the oscillations? (b) How much time elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged?
The self-inductance and capacitance of an oscillating LC circuit are L = 20 mH and C = 1.0 F , respectively. (a) What is the frequency of the oscillation? (b) If the maximum potential difference the plates of the capacitor is 50 V, what is the maximum current in the circuit?
At s1iat frequency is the reactance of a 20F capacitor equal to that of a 10-mH inductor?
In an LC circuit, what determines the frequency and the amplitude of the energy oscillations in either the inductor or capacitor?
A step-up transformer is designed so that the output of its secondary winding is 2000 V(rms) when the primary winding is connected to a 110-V (rms) line voltage, (a) If there are 100 turns in the primary winding, how many turns are there in the secondary winding? (b) If a resistor connected across the secondary winding draws an rms current of 0.75 A. what is the current in die primary winding?
In the LC circuit in Figure 33.11, the inductance is L = 19.8 mH and the capacitance is C = 19.6 mF. At some moment, UB = UE= 17.5 mJ. a. What is the maximum charge stored by the capacitor? b. What is the maximum current in the circuit? c. At t = 0, the capacitor is fully charged. Write an expression for the charge stored by the capacitor as a function of lime. d. Write an expression for the current as a function of time.
(i) When a particular inductor is connected to a source of sinusoidally varying emf with constant amplitude and a frequency of 60.0 Hz, the rms current is 3.00 A. What is the rms current if the source frequency is doubled? (a) 12.0 A (b) 6.00 A (c) 4.24 A (d) 3.00 A (e) 1.50 A (ii) Repeat part (i) assuming the load is a capacitor instead of an inductor. (iii) Repeat part (i) assuming the load is a resistor instead of an inductor.
In the circuit shown below, S1is opened and S2is dosed simultaneously. Determine (a) the frequency of the resulting oscillations, (b) the maximum charge on the capacitor, (c) the maximum current through the inductor, and (d) the electromagnetic energy of the oscillating circuit.
When a wire carries an AC current with a known frequency, you can use a Rogowski coil to determine the amplitude Imax of the current without disconnecting the wire to shunt the current through a meter. The Rogowski coil, shown in Figure P23.8, simply clips around the wire. It consists of a toroidal conductor wrapped around a circular return cord. Let n represent the number of turns in the toroid per unit distance along it. Let A represent the cross-sectional area of the toroid. Let I(t) = Imax sin t represent the current to be measured. (a) Show that the amplitude of the emf induced in the Rogowski coil is Emax=0nAImax. (b) Explain why the wire carrying the unknown current need not be at the center of the Rogowski coil and why the coil will not respond to nearby currents that it does not enclose. Figure P23.8
In an oscillating RLC circuit, R = 7.0 L. = 10 mH. And C = 3.0 F. Initially, the capacitor has a charge of 8.0 C and the current is zero. Calculate the charge on the capacitor (a) five cycles later and (b) 50 cycles later.
Check Your Understanding The angular frequency of the oscillations in an LC circuit is 2.0103rad/s . (a) If L = 0.10H, what is C? (b) Suppose that at t = 0, all the is stored in the inductor. What is the value of ? (c) A second identical capacitor is connected in parallel with the original capacitor. What is the angular frequency of this circuit?

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