Concept explainers
(a)
The frequency of oscillation of the
(a)
Answer to Problem 53P
The frequency of oscillation of the
Explanation of Solution
Write the expression for the frequency of oscillation of the
Here,
Conclusion:
Substitute
Therefore, the frequency of oscillation of the
(b)
The maximum charge at the capacitor.
(b)
Answer to Problem 53P
The maximum charge at the capacitor is
Explanation of Solution
Write the expression for the maximum charge at the capacitor.
Here,
Conclusion:
Substitute
Therefore, the maximum charge at the capacitor is
(c)
The maximum current in the inductor.
(c)
Answer to Problem 53P
The maximum current in the inductor is
Explanation of Solution
Write the expression for the maximum energy stored in capacitor.
Here,
Write the expression for the maximum energy stored in inductor.
Here,
Equate equation (III) and equation (IV) to find
Conclusion:
Substitute
Therefore, the maximum current in the inductor is
(d)
The total energy in the circuit at
(d)
Answer to Problem 53P
The total energy in the circuit at
Explanation of Solution
Write the expression for the total energy stored in
Here,
Conclusion:
Substitute
Therefore, the total energy in the circuit at
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Chapter 32 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
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- (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.arrow_forwardProblems 71 and 72 paired. Figure P33.71 shows a series RLC circuit with a 25.0- resistor, a 430.0-mH inductor, and a 24.0-F capacitor connected to an AC source with Vmax = 60.0 V operating at 60.0 Hz. What is the maximum voltage across the a. resistor, b. inductor, and c. capacitor in the circuit? FIGURE P33.71 Problems 71 and 72.arrow_forwardA series RLC circuit driven by a source with an amplitude of 120.0 V and a frequency of 50.0 Hz has an inductance of 787 mH, a resistance of 267 , and a capacitance of 45.7 F. a. What are the maximum current and the phase angle between the current and the source emf in this circuit? b. What are the maximum potential difference across the inductor and the phase angle between this potential difference and the current in the circuit? c. What are the maximum potential difference across the resistor and the phase angle between this potential difference and the current in this circuit? d. What are the maximum potential difference across the capacitor and the phase angle between this potential difference and the current in this circuit?arrow_forward
- An inductor and a resistor are connected in series across an AC source as in Figure OQ33.1. Immediately after the switch is closed, which of the following statements is true? (a) The current in the circuit is V/R. (b) The voltage across the inductor is zero, (c) The current in the circuit is zero, (d) The voltage across the resistor is V (e) The voltage across the inductor is half its maximum value.arrow_forwardFigure CQ20.7 shows a slidewire generator with motional cmf 0 when the wire at A slides across the top and bottom rails at constant velocity v0. (a) When the wire reaches B so that the area enclosed by the circuit is doubled, determine the ratio of the new cmf to the original cmf, /0. (b) If the wire's speed is doubled so that v = 2v0 determine the ratio /0. Figure CQ20.7arrow_forward
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