Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
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Question
Chapter 29, Problem 78P
(a)
To determine
The inductance of the empty solenoid.
(b)
To determine
The capacitance of the capacitor for the given frequency.
(c)
To determine
The susceptibility of the sample inserted in the solenoid.
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A 5300-pF capacitor is charged to 85 V and then quickly connected to an inductor with 75-mH inductance.Part (a) Find the maximum energy, in joules, stored in the magnetic field of the inductor. Part (b) Find the peak value of the current, in amperes. Part (c) Find the circuit’s oscillation frequency, in hertz.
You wish to invent a sparker for lightning gas burners. A 1.5-A current from a battery runsthrough a primary coil. When the switch in this circuit is opened, the current decreases to zero in0.60 ms, thus inducing a voltage in a secondary coil that causes a spark across a 0.50 mm gap.What must the mutual inductance be between the coils if the dielectric strength of the fumesbetween the gap is 2.4 x10 ^ V/m?
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Chapter 29 Solutions
Physics for Scientists and Engineers, Vol. 1
Ch. 29 - Prob. 1PCh. 29 - Prob. 2PCh. 29 - Prob. 3PCh. 29 - Prob. 4PCh. 29 - Prob. 5PCh. 29 - Prob. 6PCh. 29 - Prob. 7PCh. 29 - Prob. 8PCh. 29 - Prob. 9PCh. 29 - Prob. 10P
Ch. 29 - Prob. 11PCh. 29 - Prob. 12PCh. 29 - Prob. 13PCh. 29 - Prob. 14PCh. 29 - Prob. 15PCh. 29 - Prob. 16PCh. 29 - Prob. 17PCh. 29 - Prob. 18PCh. 29 - Prob. 19PCh. 29 - Prob. 20PCh. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - Prob. 23PCh. 29 - Prob. 24PCh. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - Prob. 27PCh. 29 - Prob. 28PCh. 29 - Prob. 29PCh. 29 - Prob. 30PCh. 29 - Prob. 31PCh. 29 - Prob. 32PCh. 29 - Prob. 33PCh. 29 - Prob. 34PCh. 29 - Prob. 35PCh. 29 - Prob. 36PCh. 29 - Prob. 37PCh. 29 - Prob. 38PCh. 29 - Prob. 39PCh. 29 - Prob. 40PCh. 29 - Prob. 41PCh. 29 - Prob. 42PCh. 29 - Prob. 43PCh. 29 - Prob. 44PCh. 29 - Prob. 45PCh. 29 - Prob. 47PCh. 29 - Prob. 48PCh. 29 - Prob. 49PCh. 29 - Prob. 50PCh. 29 - Prob. 51PCh. 29 - Prob. 52PCh. 29 - Prob. 54PCh. 29 - Prob. 55PCh. 29 - Prob. 56PCh. 29 - Prob. 57PCh. 29 - Prob. 58PCh. 29 - Prob. 59PCh. 29 - Prob. 60PCh. 29 - Prob. 61PCh. 29 - Prob. 62PCh. 29 - Prob. 63PCh. 29 - Prob. 64PCh. 29 - Prob. 65PCh. 29 - Prob. 66PCh. 29 - Prob. 67PCh. 29 - Prob. 68PCh. 29 - Prob. 69PCh. 29 - Prob. 70PCh. 29 - Prob. 72PCh. 29 - Prob. 73PCh. 29 - Prob. 74PCh. 29 - Prob. 75PCh. 29 - Prob. 76PCh. 29 - Prob. 77PCh. 29 - Prob. 78PCh. 29 - Prob. 79PCh. 29 - Prob. 80PCh. 29 - Prob. 81PCh. 29 - Prob. 82PCh. 29 - Prob. 83PCh. 29 - Prob. 84PCh. 29 - Prob. 85PCh. 29 - Prob. 86PCh. 29 - Prob. 87PCh. 29 - Prob. 88PCh. 29 - Prob. 89P
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Check Your Understanding (a) What is the magnetic flux through one turn of a solenoid of self- inductance 8.0 × 10-5 H when a current of 3.0 A flows through it? Assume that the solenoid has 1000 turns and is wound from wire of diameter 1.0 mm. (b) What is the cross-sectional area of the solenoid?arrow_forwardCheck Your Understanding (a) Calculate the self-inductance of a solenoid that is tightly wound with wire of diameter 0.10 cm, has a cross-sectional area of 0.90 cm2, and is 40 cm long. (b) If the current through the solenoid decreases uniformly from 10 to 0 A in 0.10 s, what is the emf induced between the ends of the solenoid?arrow_forwardThe self-inductance and capacitance of an oscillating LC circuit are L = 20 mH and C = 1.0 F , respectively. (a) What is the frequency of the oscillation? (b) If the maximum potential difference the plates of the capacitor is 50 V, what is the maximum current in the circuit?arrow_forward
- Suppose that a cylindrical solenoid is wrapped around a core of iron whose magnetic susceptibility is x. Using Equation 14.9, show that the self-inductance of the solenoid is given by L=(l+x)+0n2Al where l is its length, A its cross-sectional area and N its total number of turns. Nm=Uarrow_forwardA 5000-pF capacitor is charged to 100 V and then quickly connected to an 80-mH inductor. Determine (a) the maximum energy stored in the magnetic field of the inductor, (b) the peak value of the current, and (c) the frequency of oscillation of the circuit.arrow_forwardIn an LC circuit, what determines the frequency and the amplitude of the energy oscillations in either the inductor or capacitor?arrow_forward
- A long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm. (a) Neglecting end effects, that is the self-inductance per unit length of the solenoid? (b) If the current through the solenoid changes at the rate 5.0 AJs, what is the emf induced per unit length?arrow_forwardAt s1iat frequency is the reactance of a 20F capacitor equal to that of a 10-mH inductor?arrow_forwardA steady current flows through a circuit with a large induct3ve time constant. When a switch in the circuit is opened, a large spark across the terminals of the switch. Explain.arrow_forward
- Two coils close to each other have a mutual inductance of 32 mH. If the current in one coil decays according to I=I0eat , where I0= 5.0 A and =2.0103s1 , what is the emf induced in the second coil immediately after the current starts to decay? At t=10.0103s? ?arrow_forwardCheck Your Understanding How much energy is stored in the inductor of Example 14.2 after the current reaches its maximum value?arrow_forwardSuppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m, what is the current flowing through a rectangular toroid when the energy in its magnetic field is 2.0 × 10-6 J?arrow_forward
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