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University Physics Volume 2

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 71P: In an oscillating RLC circuit with L = 10 mH, C = 1.5 F , and R = 2.0 , how much time elapses...

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In an oscillating LC circuit, L = 1.30 mH and C = 4.51 pF. The maximum charge on the capacitor is 2.62 µC. Find the maximum
current.
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the tolerance is +/-2%
the tolera
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In an oscillating LC circuit, the maximum charge on the capacitor is qm. Determine the charge on the capacitor and the current through the inductor den energy is shared equally between the electric and magnetic fields. Express your answer in terms of qm, L, and C.
An LC circuit in an AM tuner (in a car stereo) uses a coil with an inductance of 2.5 mH and a variable capacitor. If the natural frequency of the circuit is to be adjustable over the range 540 to 1600 kHz (the AM broadcast band), that range of capacitance is required?
In an RLC series circuit, can the voltage measured across the capacitor be greater than the voltage of the source? Answer the same question for the voltage across the inductor.
The self-inductance and capacitance of an LC circuit e 0.20 mH and 5.0 pF. What is the angular frequency at which the circuit oscillates?
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?
Check Your Understanding Show that the tins voltages across a resistor, a capacitor, and an inductor in an ac circuit where the tins current is Irmsare given by IrmsR,IrmsXC , and IrmsXL, respectively. Determine these values for the components of the RLC circuit of Equation 15.12. Pave=12t0v0cos (15.12)
Show that N m /l and el(dl/dt), which are both expressions for se1f-inductance, have the same units.
In an oscillating RLC circuit with L = 10 mH, C = 1.5 F , and R = 2.0 , how much time elapses before the amplitude of the oscillations drops to half its initial value?
What resistance R must be connected in series with a 200-mH inductor of the resulting RLC oscillating circuit is to decay to 50% of its initial value of charge in 50 cycles? To 0.10% of its initial value in 50 cycles?
Suppose you wanted to design an LC circuit with a frequency of 0.01 Hz. What problems might you encounter?
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?
Check Your Understanding What happens to the resonant frequency of an RLC series circuit when the following quantities are increased by a factor of 4: (a) the capacitance, (b) the self-inductance, and (c) the resistance?

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