1 Temperature And Heat 2 The Kinetic Theory Of Gases 3 The First Law Of Thermodynamics 4 The Second Law Of Thermodynamics 5 Electric Charges And Fields 6 Gauss's Law 7 Electric Potential 8 Capacitance 9 Current And Resistance 10 Direct-current Circuits 11 Magnetic Forces And Fields 12 Sources Of Magnetic Fields 13 Electromagnetic Induction 14 Inductance 15 Alternating-current Circuits 16 Electromagnetic Waves Chapter14: Inductance
Chapter Questions Section: Chapter Questions
Problem 14.1CYU: Check Your Understanding. A current I(t)=(5.0A)sin((200rad/s)t) flows through the solenoid of part... Problem 14.2CYU: Check Your Understanding. Current flows through the inductor in Figure 14.8 from B to A instead of... Problem 14.3CYU: Check Your Understanding. A changing current induces an emf of 10 V across a 0.25-H inductor. What... Problem 14.4CYU: Check Your Understanding (a) Calculate the self-inductance of a solenoid that is tightly wound with... Problem 14.5CYU: Check Your Understanding (a) What is the magnetic flux through one turn of a solenoid of self-... Problem 14.6CYU: Check Your Understanding How much energy is stored in the inductor of Example 14.2 after the current... Problem 14.7CYU: Check Your Understanding Verify that RC and L/R have the dimensions of time. Problem 14.8CYU: Check Your Understanding (a) If the current in the circuit of in Figure 14.12(b) increases to 909 of... Problem 14.9CYU: Check Your Understanding For the circuit of in Figure 14.12(b), show that when steady state is... Problem 14.10CYU: Check Your Understanding The angular frequency of the oscillations in an LC circuit is 2.0103rad/s .... Problem 14.11CYU: Check Your Understanding In an RLC circuit, L = 5.0 mH, C=60F , and R=200 . (a) Is the circuit under... Problem 1CQ: Show that N m /l and el(dl/dt), which are both expressions for se1f-inductance, have the same... Problem 2CQ: A 10-H inductor carries a current of 20 A. Describe bow a 50-V emf can be induced across it. Problem 3CQ: The ignition circuit of an automobile is powered by a 12-V battery. How are we able generate large... Problem 4CQ: When the current through a large inductor is interrupted with a switch, an are appears across the... Problem 5CQ: Does self-inductance depend on the value of the magnetic flux? Does depend on the current through... Problem 6CQ: Would the self-inductance of a 1.0 m long, tightly wound solenoid differ from the self-inductance... Problem 7CQ: Discuss how you might determine the-inductance per unit length of a long, straight wire. Problem 8CQ: The self-inductance of a coil is zero if there is no current passing through the windings. True or... Problem 9CQ: How does the self- inductance per unit length near the center of a solenoid (away from the ends)... Problem 10CQ: Solve that I I 2 /2 has units of energy. Problem 11CQ: Use Lenz’s law to explain why the initial current in the RL circuit of Figure 14.12(b) is aero. Problem 12CQ: When the current in the RL circuit of Figure 14.12(b) reaches its final value /R, what is the... Problem 13CQ: Does the time required for the current in an RL circuit to reach any fraction of its steady-state... Problem 14CQ: An inductor is connected across the terminals of a battery. Does the current stance of the battery?... Problem 15CQ: At what time is the voltage across the inductor of the RL circuit of Figure 14.12(b) a maximum? Problem 16CQ: In the simple RL circuit of Figure 14.12(b), can the emf induced across the inductor ever be greater... Problem 17CQ: If emf of the battery of Figure 14.12(b) is reduced by a factor of 2, by how much does the... Problem 18CQ: A steady current flows through a circuit with a large induct3ve time constant. When a switch in the... Problem 19CQ: Describe how the currents through R1and R2, shown below vary with time after switch S is closed. Problem 20CQ: Discuss possible practical applications of RL circuits. Problem 21CQ: Do Kirchhoff’s rules apply to circuits that contain inductors and Capacitors? Problem 22CQ: Can a circuit e1eent have both capacitance and inductance? Problem 23CQ: In an LC circuit, what determines the frequency and the amplitude of the energy oscillations in... Problem 24CQ: When a wire is connected between the two ends of a solenoid, the resulting circuit can oscillate... Problem 25CQ: Describe what effect the resistance of the connecting wires has on an oscillating LC circuit. Problem 26CQ: Suppose you wanted to design an LC circuit with a frequency of 0.01 Hz. What problems might you... Problem 27CQ: A radio receiver uses an RLC circuit to pick out particular frequencies to listen to in your house... Problem 28P: When the current in one coi1 changes at a rate of 5.6 A/s an emf of 6.3 × 10-3 is induced in a... Problem 29P: An emf of 9.7 × 10-3 V is induced in a coil while the current in a nearby coil is decreasing at a... Problem 30P: Two coils close to each other have a mutual inductance of 32 mH. If the current in one coil decays... Problem 31P: A coil of 40 turns is wrapped around a long solenoid of cross-sectional area 7.5 × 10-3 m2. The... Problem 32P: A 600-turn solenoid is 0.55 m long and 4.2 cm in diameter. Inside the solenoid, a small (1.1 cm ×... Problem 33P: A toroidal coil has a mean radius of 16 cm and a cross-sectional area of 0.25 cm2; it is wound... Problem 34P: A solenoid of N1turns has length l1and radius R1, and a second smaller solenoid of N2turns has... Problem 35P: An emf of 0.40 V is induced across a coil when the current through it changes uniformly from 0.10 to... Problem 36P: The current shown in part (a) below is increasing, whereas that shown in part (b) is decreasing. In... Problem 37P: What is the rate at which the current though a 0.30-H coil is changing if an emf of 0.12 V is... Problem 38P: When a camera uses a flash, a fully charged capacitor discharges through an inductor. In what time... Problem 39P: A coil with a self-inductance of 2.0 H carries a current that varies with time according to I(t) =... Problem 40P: A solenoid 50 cm long is wound with 500 turns of wire. The cross-sectional area of the coil is 2.0... Problem 41P: A coil with a self-inductance of 3.0 H carries a current that decreases at a uniform rate dl/dt =... Problem 42P: The current I(t) through a 5.0-mH inductor varies with time, as shown below. The resistance of the... Problem 43P: A long, cylindrical solenoid with 100 turns per centimeter has a radius of 1.5 cm. (a) Neglecting... Problem 44P: Suppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m,... Problem 45P: What is the self-inductance per meter of a coaxial cable whose inner radius is 0.50 mm and whose... Problem 46P: At the instant a current of 0.20 A is flowing through a coil of wire, the energy stored in its... Problem 47P: Suppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m,... Problem 48P: Solenoid A is tightly wound while solenoid B has windings that are evenly spaced with a gap equal to... Problem 49P: A 10-H inductor carries a current of 20 A. How much ice at 0ºC could be melted by the energy stored... Problem 50P: A coil with a self-inductance of 3.0 H and a resistance of 100 2 carries a steady current of 2.0 A.... Problem 51P: A current of 1.2 A is flowing in a coaxial cable whose outer radius is five times its inner radius.... Problem 52P: In Figure 14.12, =12V , L = 20 mH, and R=5.0. Determine (a) the time constant of the circuit, (b)... Problem 53P: For the circuit shown below, =20V , L = 4.0 mH, and R = 5.0 . After steady state is reached with S1... Problem 54P: The current in the RL circuit shown here increases to 40% of its steady-state value in 2.0 s. What... Problem 55P: How long after switch S1 is thrown does it take the current in the circuit shown to reach half its... Problem 56P: Examine the circuit shown below in part (a). Determine dl/dt at the instant after the switch is... Problem 57P: The current in the RL circuit shown below reaches half maximum value in l.75 ms after the switch... Problem 58P: Consider the circuit shown below. Find l1, l2and l3when (a) the switch S is first closed, (b) after... Problem 59P: For the circuit shown below, =50V , R1= 10 , and L= 2.0 mH. Find the values of l1and l2(a)... Problem 60P: For the circuit shown below, find the current through the inductor 2.0105 s after the switch is... Problem 61P: Show that for the circuit shown below, the initial energy stored in the inductor, LI2(0)/2 , is... Problem 62P: A 5000-pF capacitor is charged to 100 V and then quickly connected to an 80-mH inductor. Determine... Problem 63P: The self-inductance and capacitance of an LC circuit e 0.20 mH and 5.0 pF. What is the angular... Problem 64P: What is the self-inductance of an LC circuit that oscillates at 60 Hz 1ien the capacitance is 10 F ? Problem 65P: In an oscillating LC circuit the maximum charge on the capacitor is 2.0 × 10-6 C and the maximum... Problem 66P: The self-inductance and capacitance of an oscillating LC circuit are L = 20 mH and C = 1.0 F ,... Problem 67P: In an oscillating LC circuit, the maximum charge on the capacitor is qm. Determine the charge on the... Problem 68P: In the circuit shown below, S1is opened and S2is dosed simultaneously. Determine (a) the frequency... Problem 69P: An LC circuit in an AM tuner (in a car stereo) uses a coil with an inductance of 2.5 mH and a... Problem 70P: In an oscillating RLC circuit, R=5.0 ,. L=5.0mH , and C = 500 F . What is the angular frequency of... Problem 71P: In an oscillating RLC circuit with L = 10 mH, C = 1.5 F , and R = 2.0 , how much time elapses... Problem 72P: What resistance R must be connected in series with a 200-mH inductor of the resulting RLC... Problem 73AP: Show that the self-inductance per unit length of an infinite, straight, thin wire is infinite. Problem 74AP: Two long, parallel wires cy equal currents in opposite directions. The radius of each wire is a, and... Problem 75AP: A small, rectangular single loop of wire with dimensions 1, and a is placed, as shown in the plan of... Problem 76AP: Suppose that a cylindrical solenoid is wrapped around a core of iron whose magnetic susceptibility... Problem 77AP: A solenoid with 4 x 107turns/m has an iron core placed in it whose magnetic susceptibility is 4.0 x... Problem 78AP: A rectangular toroid with inner radius R1= 7.0cm, outer radius R2= 9.0cm, height h = 3.0, and N=3.0,... Problem 79AP: The switch S of the circuit shown below is closed t =0. Determine (a) the initial current through... Problem 80AP: In an oscillating RLC circuit, R = 7.0 L. = 10 mH. And C = 3.0 F. Initially, the capacitor has a... Problem 81AP: A 25.0-H inductor has 100 A of current turned off in 1.00 ms . (a) What voltage is induced to oppose... Problem 82CP: A coaxial cable has an inner conductor of radius a, and outer thin cylindrical shell of radius b. A... Problem 83CP: In a damped oscillating circuit the energy is dissipated In the resistor. The Q-factor Is a measure... Problem 84CP: The switch in the circuit shown below is closed at t = 0s. Find currents through (a) R1(b) R2, and... Problem 85CP: A square loop of side 2 cm is placed 1 cm from a long wire carrying a current that varies with time... Problem 86CP: A rectangular copper ring, of mass 100 g and resistance 0.2 1, is in a region of uniform magnetic... Problem 10CQ: Solve that I I 2 /2 has units of energy.
Related questions
What is the angular displacement of the wheel between t = 5 ss and t = 15 s?
Transcribed Image Text: e (rad)
75 -
50
25
-t (s)
20
10
15
Definition Definition Angle at which a point rotates around a specific axis or center in a given direction. Angular displacement is a vector quantity and has both magnitude and direction. The angle built by an object from its rest point to endpoint created by rotational motion is known as angular displacement. Angular displacement is denoted by θ, and the S.I. unit of angular displacement is radian or rad.
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