In an oscillating LC circuit, when 88.7% of the total energy is stored in the inductor's magnetic field, (a) what multiple of the maximum charge is on the capacitor and (b) what multiple of the maximum current is in the inductor? (a) Number i (b) Number i Units Units
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![**Question:**
In an oscillating LC circuit, when 88.7% of the total energy is stored in the inductor's magnetic field, (a) what multiple of the maximum charge is on the capacitor and (b) what multiple of the maximum current is in the inductor?
**Answer:**
(a)
- Number: [Input Field]
- Units: [Dropdown Menu]
(b)
- Number: [Input Field]
- Units: [Dropdown Menu]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F262da005-4088-4217-993b-d949ad68bd8b%2F309197a0-04c5-4f2b-9c6d-ffa500ceb9f6%2F99j3oj4_processed.jpeg&w=3840&q=75)
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- In an oscillating LC circuit, the maximum charge on the capacitor is 9.0 x 10-6 C and the maximum current through the inductor is 2.5 mA. (a) What is the period of the oscillations (in s)? (b) How much time (in s) elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged?The frequency of oscillation of a certain LC circuit is 194 kHz. At time t = 0, plate A of the capacitor has maximum positive charge. At what earliest time t > 0 will (a) plate A again have maximum positive charge, (b) the other plate of the capacitor have maximum positive charge, and (c) the inductor have maximum magnetic field?3. A 12.0 V battery is connected in series with a 10.0 2 resistor, an inductor and a switch. At time t = 0 the switch is closed and current starts to flow. Two seconds after the switch is closed the current in the circuit has increased to one-third of its maximum value. What is the inductance of the inductor (in H)? THIS IS A GROWING RL CIRCUIT (A) 13.5 (B) 22.8 (C) 49.3 (D) 41.4 (E) 30.0 (F) 5.43
- (a) The current through a 2.0 μF capacitor when connected to a 20V generator is 0.16 A. Determine the frequency of the generator. (b) What is the current through a 0.20 H inductor when connected by itself across the same generator.An L-C circuit containing an 80.0 mH inductor and a 1.25 nF capacitor oscillates with a maximum current of 0.730 A. Assuming the capacitor had its maximum charge at time t = 0, calculate the energy stored in the inductor after 2.20 ms of oscillation.(a) If an inductor carrying a 1.95 A current stores an energy of 0.250 mJ, what is its inductance? Answer in mH (b) How much energy does the same inductor store if it carries a 3.1 A current? Answer in mJ
- In a model AC generator, a 501 turn rectangular coil 8.0 cm by 24 cm rotates at 120 rev/min in a uniform magnetic field of 0.61 T. (a) What is the maximum emf induced in the coil? V (b) What is the instantaneous value of the emf in the coil at t = (π/32) s? Assume that the emf is zero at t = 0. V (c) What is the smallest value of t for which the emf will have its maximum value? SAn ac electrical generator is made by turning a flat coil in a uniform constant magnetic field of 0.225 T. The coil consists of 33 square windings and each winding is 40.0 cm on each side. It rotates at a steady rate of 745 rpm about an axis perpendicular to the magnetic field passing through the middle of the coil and parallel to two of its opposite sides. An 8.50-2 light bulb is connected across the generator. 1) Find the voltage amplitude for the light bulb. (Express your answer to two significant figures.) V Submit 2) Find the current amplitude for the light bulb. (Express your answer to two significant figures.) A Submit 3) At what average rate is heat generated in the light bulb? (Express your answer to two significant figures.) W Submit 4) How much energy is consumed by the light bulb every hour? (Express your answer to two significant figures.) kJ SubmitA battery providing emf V is connected in series to a resistor R and an inductor L, and left until the current reaches a constant value. (a) What is the energy stored in the inductor in terms of V, R and L? Then, at t = 0, the battery is suddenly removed, so that only the inductor and resistor are left connected to each other in a closed circuit. (b) Derive an expression for the energy stored in the inductor in the new circuit without the battery. Sketch your expression as a function of time. (c) How long does it take for the energy stored in the inductor to decay to 1/9 of the initial value that you found in part (a)?
- **41 Two identical long wires of radius a = 1.53 mm are parallel and carry identical currents in opposite directions. Their center-to-center separation is d = 14.2 cm. Neglect the flux within the wires but consider the flux in the region be- tween the wires. What is the inductance per unit length of the wiręs? sSMAn electrical engineer designed an RL circuit similar to the one shown in the figure, with E = 6.00 V, L = 2.00 mH, and R = 3.40 N. L R (a) What is the inductive time constant of the circuit (in ms)? 0.588 ms (b) Calculate the current in the circuit (in A) 250 µs after the switch is closed. 0.61 A (c) What is the value of the final steady-state current (in A)? 0.98 Apply Ohm's law. A (d) After what time interval (in ms) does the current reach 80.0% of its maximum value? 1.17 1o[1 - exp(- ). with i = 0.800I,: Use your value from part (c) for I, and the inductive Apply the equation for the current as a function of time in an RL circuit, i = I, time constant found in part (a). ms Need Help? Read It llThe frequency of oscillation of a certain LC circuit is 168 kHz. At time t = 0, plate A of the capacitor has maximum positive charge. At what earliest time t > 0 will (a) plate A again have maximum positive charge, (b) the other plate of the capacitor have maximum positive charge, and (c) the inductor have maximum magnetic field?