University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 14, Problem 11CQ
Use Lenz’s law to explain why the initial current in the RL circuit of Figure 14.12(b) is aero.
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For the circuit in fig.11.78
composed of standard values:
Determine the time constant.
Write the mathematical expression for the current It after the switch is closed
Repeat part (b) for VL and VR
Determine il and VL at one three- and five-time constants.
Sketch the waveforms of iL,VL and VR.
#1. The capacitor in the figure is initially uncharged and the switch is at position c and not connected to either side of the circuit. At t = 0, the switch is flipped to position a for 20 ms,thenflipped back to position c for 10 ms, then flipped to position b for 20 ms, and finally flipped toposition c again.
a) Using the Kirchhoff Voltage Law, write the differential equationsthat describethe circuit between t = 0 –20 ms andt = 30 –50 ms.
b) Solve two differential equations you find ina) with appropriate initial condition to find the current through and the voltage across the capacitor as functions of time.
c) Sketch the graphs of the current and voltage you find in b) from t = 0 to 60 ms.
#2. Now the 40 uF capacitor in the circuit in #1 is replaced with a 0.4 H inductor. The inductor in this circuit is initially uncharged and the switch is at position c and not connected to either side of the circuit. At t = 0, the switch is flipped to position a for 20 ms, then flipped back to…
- An RL circuit is modeled using the DE
+20/ 6sin 2r, I(0) -6.
A) Find the current function l(f) in the circuit at any time t fin minutes). (HINT You may use an
appropriate integral formula but use exact values for the answer).
B) What's the amount of current flowing through the circuit at -10 minunes?
Chapter 14 Solutions
University Physics Volume 2
Ch. 14 - Check Your Understanding. A current...Ch. 14 - Check Your Understanding. Current flows through...Ch. 14 - Check Your Understanding. A changing current...Ch. 14 - Check Your Understanding (a) Calculate the...Ch. 14 - Check Your Understanding (a) What is the magnetic...Ch. 14 - Check Your Understanding How much energy is stored...Ch. 14 - Check Your Understanding Verify that RC and L/R...Ch. 14 - Check Your Understanding (a) If the current in the...Ch. 14 - Check Your Understanding For the circuit of in...Ch. 14 - Check Your Understanding The angular frequency of...
Ch. 14 - Check Your Understanding In an RLC circuit, L =...Ch. 14 - Show that N m /l and el(dl/dt), which are both...Ch. 14 - A 10-H inductor carries a current of 20 A....Ch. 14 - The ignition circuit of an automobile is powered...Ch. 14 - When the current through a large inductor is...Ch. 14 - Does self-inductance depend on the value of the...Ch. 14 - Would the self-inductance of a 1.0 m long, tightly...Ch. 14 - Discuss how you might determine the-inductance per...Ch. 14 - The self-inductance of a coil is zero if there is...Ch. 14 - How does the self- inductance per unit length near...Ch. 14 - Solve that I I 2 /2 has units of energy.Ch. 14 - Use Lenz’s law to explain why the initial current...Ch. 14 - When the current in the RL circuit of Figure...Ch. 14 - Does the time required for the current in an RL...Ch. 14 - An inductor is connected across the terminals of a...Ch. 14 - At what time is the voltage across the inductor of...Ch. 14 - In the simple RL circuit of Figure 14.12(b), can...Ch. 14 - If emf of the battery of Figure 14.12(b) is...Ch. 14 - A steady current flows through a circuit with a...Ch. 14 - Describe how the currents through R1and R2, shown...Ch. 14 - Discuss possible practical applications of RL...Ch. 14 - Do Kirchhoff’s rules apply to circuits that...Ch. 14 - Can a circuit e1eent have both capacitance and...Ch. 14 - In an LC circuit, what determines the frequency...Ch. 14 - When a wire is connected between the two ends of a...Ch. 14 - Describe what effect the resistance of the...Ch. 14 - Suppose you wanted to design an LC circuit with a...Ch. 14 - A radio receiver uses an RLC circuit to pick out...Ch. 14 - When the current in one coi1 changes at a rate of...Ch. 14 - An emf of 9.7 × 10-3 V is induced in a coil while...Ch. 14 - Two coils close to each other have a mutual...Ch. 14 - A coil of 40 turns is wrapped around a long...Ch. 14 - A 600-turn solenoid is 0.55 m long and 4.2 cm in...Ch. 14 - A toroidal coil has a mean radius of 16 cm and a...Ch. 14 - A solenoid of N1turns has length l1and radius R1,...Ch. 14 - An emf of 0.40 V is induced across a coil when the...Ch. 14 - The current shown in part (a) below is increasing,...Ch. 14 - What is the rate at which the current though a...Ch. 14 - When a camera uses a flash, a fully charged...Ch. 14 - A coil with a self-inductance of 2.0 H carries a...Ch. 14 - A solenoid 50 cm long is wound with 500 turns of...Ch. 14 - A coil with a self-inductance of 3.0 H carries a...Ch. 14 - The current I(t) through a 5.0-mH inductor varies...Ch. 14 - A long, cylindrical solenoid with 100 turns per...Ch. 14 - Suppose that a rectangular toroid has 2000...Ch. 14 - What is the self-inductance per meter of a coaxial...Ch. 14 - At the instant a current of 0.20 A is flowing...Ch. 14 - Suppose that a rectangular toroid has 2000...Ch. 14 - Solenoid A is tightly wound while solenoid B has...Ch. 14 - A 10-H inductor carries a current of 20 A. How...Ch. 14 - A coil with a self-inductance of 3.0 H and a...Ch. 14 - A current of 1.2 A is flowing in a coaxial cable...Ch. 14 - In Figure 14.12, =12V , L = 20 mH, and R=5.0....Ch. 14 - For the circuit shown below, =20V , L = 4.0 mH,...Ch. 14 - The current in the RL circuit shown here increases...Ch. 14 - How long after switch S1 is thrown does it take...Ch. 14 - Examine the circuit shown below in part (a)....Ch. 14 - The current in the RL circuit shown below reaches...Ch. 14 - Consider the circuit shown below. Find l1, l2and...Ch. 14 - For the circuit shown below, =50V , R1= 10 , and...Ch. 14 - For the circuit shown below, find the current...Ch. 14 - Show that for the circuit shown below, the initial...Ch. 14 - A 5000-pF capacitor is charged to 100 V and then...Ch. 14 - The self-inductance and capacitance of an LC...Ch. 14 - What is the self-inductance of an LC circuit that...Ch. 14 - In an oscillating LC circuit the maximum charge on...Ch. 14 - The self-inductance and capacitance of an...Ch. 14 - In an oscillating LC circuit, the maximum charge...Ch. 14 - In the circuit shown below, S1is opened and S2is...Ch. 14 - An LC circuit in an AM tuner (in a car stereo)...Ch. 14 - In an oscillating RLC circuit, R=5.0 ,. L=5.0mH ,...Ch. 14 - In an oscillating RLC circuit with L = 10 mH, C =...Ch. 14 - What resistance R must be connected in series with...Ch. 14 - Show that the self-inductance per unit length of...Ch. 14 - Two long, parallel wires cy equal currents in...Ch. 14 - A small, rectangular single loop of wire with...Ch. 14 - Suppose that a cylindrical solenoid is wrapped...Ch. 14 - A solenoid with 4 x 107turns/m has an iron core...Ch. 14 - A rectangular toroid with inner radius R1= 7.0cm,...Ch. 14 - The switch S of the circuit shown below is closed...Ch. 14 - In an oscillating RLC circuit, R = 7.0 L. = 10...Ch. 14 - A 25.0-H inductor has 100 A of current turned off...Ch. 14 - A coaxial cable has an inner conductor of radius...Ch. 14 - In a damped oscillating circuit the energy is...Ch. 14 - The switch in the circuit shown below is closed at...Ch. 14 - A square loop of side 2 cm is placed 1 cm from a...Ch. 14 - A rectangular copper ring, of mass 100 g and...
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