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23 Nov 2019

A 5.00 mH inductor has a current of 7.50 mA flowing through it,while a 5.00 mF capacitor holds a charge of 7.50 mC.

(a) What is the magnetic potential energy stored in the inductor?(joules)
(b) What is the electric potential energy stored in the capacitor?(joules)
(c) The inductance and the capacitance are both tripled. What isthe ratio of the new potential energy in the inductor to the old,and of the new potential energy in the capacitor to the old?
Answer for inductor = 4,3,2,1/2,1/3,1/4, Answer for capacitor =4,3,2,1,1/2,1/3,1/4
(d) The inductance and capacitance are returned to their originalvalues, and the current and the capacitor's stored charge are bothdoubled. Now what are the ratios of the new potential energies tothe old?
Answer for inductor = 4,3,2,1/2,1/3,1/4, Answer for capacitor =4,3,2,1/2,1/3,1/4

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Tod Thiel
Tod ThielLv2
10 May 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

Energy within an L-C Circuit As a function of time, what is the energy UL(t) stored in the inductor? Express your answer in terms of L and I(t) onstants Consider an L-C circuit with capacitance C, inductance L, and no voltage source, as shown in the figure (Figure 1). As a function of time, the charge on the capacitor is Q(t) and the current through the inductor is I(t) Assume that the circuit has no resistance and that at one time the capacitor was charged.

  1. As a function of time, what is the energy UL(t) stored in the inductor?
  2. As a function of time, what is the energy UC(t) stored in the capacitor? Express your answer in terms of C and Q(t).

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1) Which one of the following quantities remains constant for a given LC circuit?
a) the energy stored in the capacitor
b) the sum of the energy stored in the capacitor and that in the inductor
c) the energy dissipated in the circuit
d) the energy stored in the inductor
e)the energy stored in the current flowing in the circuit
 
2)Which of the following best describes the term forced oscillations?
a) oscillations that occur in the windings of the inductor within an RLC circuit
b) oscillations that occur at the natural frequency of the circuit
c) oscillations requiring an applied force
d) oscillations that occur within the battery of an RLC circuit
e) oscillations that occur at a frequency other than the natural frequency of the circuit
 
3)An alternating current is set up in an RLC circuit. For which of the following circuit elements are the current and voltage in phase?
a) inductor only
b) capacitor only
c) inductor, resistor, and capacitor
d) resistor only
e) resistor and capacitor only
 
4)For an RLC circuit in the limit of very high frequency, what is the effective behavior of the capacitor and the inductor in the circuit?
a) The inductor acts like a very small resistance and the capacitor acts like a very small resistance.
b) The inductor acts like a very large resistance and the capacitor acts like a very small resistance.
c) The inductor acts like a very small resistance and the capacitor acts like a very large resistance.
d) The inductor acts like a very large resistance and the capacitor acts like a very large resistance.
 
5)Which of the following statements concerning resonance in an RLC circuit is true?
a) At the resonant frequency, the rms current is at a minimum and the impedance is at a maximum.
b) At the resonant frequency, the rms current is at a maximum and the impedance is at a minimum.
c) At the resonant frequency, the rms current is at a minimum and the impedance is at a minimum.
d) At the resonant frequency, the rms current is at a maximum and the impedance is at a maximum.
 
6)In a well-designed transformer with an iron core, the secondary coil has twice as many turns as the primary coil. Which one of the following statements concerning this transformer is true?
a) The flux that passes through each turn of the primary coil is twice the flux that passes through each turn of the secondary coil.
b) This is a step down transformer because the current in the secondary coil is less than that in the primary coil.
c) This kind of transformer is typically used between a power transmission line and a residence.
d) The induced emf generated in the secondary coil is twice as large as that generated in the primary coil.
e) The effect of the iron core is to reduce the magnetic field passing through the coils.

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