1. A 0.25 µF capacitor is charged with an 8V battery. It is then discharged through a 16H inductor as shown starting at t=0. a) What is the value of the initial charge on C? b) At what next time will the charge on C be equal to the answer to part 2a?
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- Q104 You have the following circuit: When a charged capacitor is linked to an inductor, it induces a current to pass through the inductor, depleting the capacitor's charge until it is entirely discharged. The current flowing in the inductor, in return, charges up the capacitor until it becomes fully charged. If Q(t) denotes the charge on the capacitor at time t, and I represents the current, then. dQ I= L-10-9-0 dt² dt In the case that the resistance in the circuit is zero, Charge Q and current I would satisfy the differential equation shown below: 2-0 d²Q Ldt² L=dI dt In which L denotes the inductance and C denotes the capacitance, so the following equation can be made; 2=0 inductor Q(t)=_ HH capacitor In the same way that a spring can experience a damping force influencing its movement, a circuit can also have a similar effect introduced by the resistor. The resistor, with a resistance denoted by R, plays a role in this process. dQ *Rd 2 + &Q=0 m b) Q(0)=2 & Q'(0)=0 Q(t)= resistor…4 The circuit given to the right has been on for a long time. a. Determine the energy stored in the capacitor. 12 mH 16 k2 18 k2 15 V 1.5μF. 9k 2 b. Determine the energy stored in the inductor. c. Determine how high you could lift a 1.0mg object on Earth if you could convert all of the capacitor's and inductor's stored energy into gravitational potential energy.You wish to tune in to an FM radio station that sends out radio waves with a wavelength of 3.1 m. You already have a 1.2.00 μH inductor. What do you need to set your variable capacitor to in order to pick up the radio station?
- 6. A charged 30 uF capacitor is connected to a 27 mH inductor. What is the angular frequency of free oscillations of the circuit? avI connect a 1012 Ω resistor, a 1.2-µF capacitor, and a 0.85-H inductor in series with a V = 200 sin(314t) volts supply. What is the rms current in the circuit? a) 0.055 A b) 0.077 A c) 0.109 A. d) none of these.An inductor L = 0.025 H and a 40 Ω resistor are connected in series to a 5 volt battery and a switch. At t = 0, the switch is closed to complete the circuit. a) What is the potential difference across the resistor a long time after the switch is closed? b) From the time the switch is closed, how long does it take for the current to reach 63% of the maximum value? c) For a single loop circuit with a 2 Ω resistor, a single battery of 3 V, and a characteristic size (size of the loop) of 15.0 cm, the estimated inductance is 2 ✕ 10−7 H. What is the time constant of this RL circuit?
- A 4.4-μF capacitor has a voltage of 52 V between its plates. What must be the current in a 5.9-mH inductor, such that the energy stored in the inductor equals the energy stored in the capacitor? Number i ++++++ Ē Capacitor Units Inductor BFor an RLC circuit in the limit of very high frequency, what is the effective behavior of the capacitor and the inductor in the circuit? O A. The inductor acts like a very large resistance and the capacitor acts like a very small resistance. O B. The inductor acts like a very small resistance and the capacitor acts like a very small resistance. OC. The inductor acts like a very large resistance and the capacitor acts like a very large resistance. O D. The inductor acts like a very small resistance and the capacitor acts like a very large resistance. 9:44 PM AI just need parts A, E, and F. Thank you! A 10.0 μF capacitor is charged to 175 μC and then connected across the ends of a 6.00 mH inductor. (A) Find the maximum current in the inductor. Express your answer with the appropriate units. (E) Find the maximum energy stored in the inductor. Express your answer with the appropriate units. (F) At the instant the energy stored in the inductor is maximum, what is the current in the circuit? Express your answer with the appropriate units.
- Q. 1. A light bulb and a solenoid are connected in series across an ac source of voltage. Explain, how the glow of the light bulb will be affected when an iron rod is inserted in the solenoid.An inductor has a peak current of 300 μA when the peak voltage at 39 MHz is 2.5 V. You may want to review (Page 914). For help with math skills, you may want to review: Rearrangement of Equations Involving Multiplication and Division 1 Rearrangement of Equations Involving Multiplication and Division 2 ▼ ▼ Part A What is the inductance? Express your answer using two significant figures. VE ΑΣΦ L= 3.4007 10¯5 Submit Previous Answers Request Answer Part B BOY X Incorrect; Try Again; One attempt remaining Submit Previous Answers Request Answer If the voltage is held constant, what is the peak current at 78 MHz ? Express your answer using two significant figures. ΠΨΕ ΑΣΦ 12 1.5 107 ? ? X Incorrect; Try Again; One attempt remaining ΜΗ μAAn inductor is connected across an oscillating emf. The peak current through the inductor is 2.0 A. ▼ Part A What is the peak current if the inductance L is doubled? Express your answer with the appropriate units. I = Submit Part B I = Submit Part C 0. μA Value I = Request Answer What is the peak current if the peak emf &o is doubled? Express your answer with the appropriate units. μA Value Request Answer μÀ Value Units Submit Request Answer C Units What is the peak current if the frequency w is doubled? Express your answer with the appropriate units. w B Units ? ? ?