3 3. (II) A small thin coil with N₂ loops, each of area A₂,is placed inside a long solenoid, near its center. Thesolenoid has №₁ loops in its length and has area A₁.Determine the mutual inductance as a function of 0, theangle between the plane of the small coil and the axis ofthe solenoid.(III)

Answered: Image /qna-images/answer/cf6d26fa-5eec-4297-af5c-3f093c88dec8.jpg

3. (II) A small thin coil with N₂ loops, each of area A2, is placed inside a long solenoid, near its center. The solenoid has N₁ loops in its length and has area A₁. Determine the mutual inductance as a function of 0, the angle between the plane of the small coil and the arir of the solenoid.

3. (II) A small thin coil with N₂ loops, each of area A2, is placed inside a long solenoid, near its center. The solenoid has N₁ loops in its length and has area A₁. Determine the mutual inductance as a function of 0, the angle between the plane of the small coil and the arir of the solenoid.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Faraday’s Law And Inductance

Section: Chapter Questions

Problem 30P

See similar textbooks

Related questions

Q: A stone is thrown stright up from the edge of a roof, 775 feet above the ground, at the speed of 20…

Q: The capacitors in the figure are initially uncharged. The capacitances are C₁-3,3 µF, C₂-9.6 µF, and…

Q: A spring has an unstretched length of 9.0 cm. It exerts a restoring force F when stretched to a…

A: The unstretched length of the spring, The stretched length of the spring,

Q: The circuit shown in following figure contains two batteries, each with an emf and an internal…

A: The circuit shown in following figure contains two batteries each with an emf and an internal…

Q: You have been taken to the emergency room. To get a constant update on your vital signs, equipment…

A: Wavelength of infrared, λIR=903 nm Wavelength of visible red λR=641 nm

Q: A fishing boat accidentally spills 4 barrels of diesel oil into the ocean. Each barrel contains 46…

A: Number of barrels of diesel oil spilled into the ocean = 4Volume of each barrel = 46…

Q: A point source in air (speed of sound = 343 m/s) is located 0.5 m above a solid, perfectly…

A: A point source in air (speed of sound = 343 m/s) is located 0.5 m above a solid, perfectly…

Q: mat maximum tension could this fiber support without breaking? press your answer with the…

Q: Consider two vectors right ray(A) and right ray (B) shown in the figure. The difference right ray…

Q: Square A and square B have equal massess, 0.260 kg. Additionally, a smaller square with a mass of…

Q: To escape a burning buildingAmold has to jump from a third-story window that is about 10.0 m above…

Q: A force of 660 newtons stretches a spring 3 meters. A mass of 55 kilograms is attached to the end of…

Q: Q#216.2 1250 kg car is towing a 2160 kg truck using a rope to connect the two vehicles. The…

A: Newton's Second Law of Motion (Law of Acceleration): The acceleration of an object is directly…

Q: 3. An object has a weight of 8.10 N when in air. However, it apparently weighs only 4.20 N when it…

A: The property of a fluid by virtue of which, when an object is submerged partially or fully an upward…

Q: Object 1 has three times the specific heat capacity and four times the mass of Object 2. The two…

Q: 6. An ideal fluid is moving at 3.10 m/s in a section of a pipe of radius 0.21 m. If the radius in…

A: At section-1 Velocity, radius ,…

Q: Point charges are placed at the four corners of a rectangle, as shown in the diagram below: 91 = 2.0…

Q: A solenoid with 32 turns per centimeter carries a current I. An electron moves within the solenoid…

A: No of solenoid turns N = 32 turns/ cm = 3200 turns/mR =2.2 cm = 2.2velocity of the…

Q: In the diagram, q1 = +6.39 109 C and q2 = +3.22 10-9 C. What is the electric field at point a + or -…

Q: . Determine the acceleration of the system of masses shown below when it is released. 6.0 kg 36° μ =…

Q: 39.- A small sphere of lead with a mass of 25g is connected to the origin by a thin rod of 74cm and…

Q: A 30-cm-long icicle hangs from the eave of a house on a day when the temperature is -2.0°C. Part A…

A: Given:Length of icicle, L = 30 cm at temperature, T = -2.0° CTo find decrease in length of icicle…

Q: A carpenter's square has an L shape, as shown in the figure. Locate the center of mass. 4.0 cm 18.0…

A: A carpenter's square has an L shape.d1=18.0 cm, d2=4.0 cm, d3=4.0 cm, d4=12.0 cm

Q: 5.- For A = 3î +ĵ-k, B = −î+ 2ĵ+ 5k and C = 2j - 3k, find a) C - (Ā – B), b) (Ā + C)xB

A: We need to find,

Q: What hanging mass will stretch a 3.0-m-long, 0.70-mm-diameter steel wire by 1.1 mm ? The Young's…

A: The length of the wire is .The diameter of the wire is .The wire stretches by .The Young's modulus…

Q: A short circuit to the grounded metal case of an appliance occurs as shown in the figure below. The…

A: A short circuit to the grounded metal case of an appliance occurs as shown in the figure below. The…

Q: Based on this value, what is the minimum coefficient of static friction μs between the race track…

Q: EXPLANATION MUST BE TYPED - CANNOT BE HAND-WRITTEN On vacation, your 1400-kg car pulls a 560-kg…

A: According to Newton's second law of motionF=maF=forcea=acceleration

Q: A 1100 kg. car coasts on a horizontal road with a speed of 19 m/s. After crossing an unpaved, sandy…

A: Mass, m = 1100 kg Initial speed of car, u = 19 m/s Final speed of car, v = 12 m/s

Q: 8.18 Consider a parallel plate capacitor of capacitance C and distance between plates d and plate…

Q: 4. A quartz cube has sides equal to 15.0 cm. What will be its change in volume if its temperature is…

Q: It is proposed that future space stations create an artificial gravity by rotating. Suppose a space…

A: To determine the rotation period required to provide "normal" gravity inside a space station, we…

Q: An elastic conducting material is stretched into a circular loop of 12.6 cm radius. It is placed…

A: Radius of the circular loop Magnetic Field Instantaneous rate of shrinking

Q: A cylindrical tank, buried on its side, has radius 3 feet and length 10 feet. It is filled…

Q: stone is thrown straight up from the edge of a roof, 775 feet abov per second. A. Remembering that…

Q: Particles q₁ = -66.3 μC, q2 = +108 μC, and 93 = -43.2 μC are in a line. Particles q₁ and q2 are…

Q: car with a mass of 1000 kg accelerates from rest to a speed of 20 m/s over a distance of 100 meters.…

A: The mass of a car is, The initial speed of a car is, The final speed of a car is, The distance…

Q: 824 A man with superpowers files from the top of a building as shown in the figure ( 수지는 필요하다면 소수 자…

A: A man with superpowers flies from the top of a building as shown in the figure. (a) To find the…

Q: The average luminosity density of stars in the uni- verse is nL = 2 x 108 Lo Mpc 3. In the presently…

Q: A point charge 91 -2.0 μC is held on the x-axis at position £1 =12.8 cm. At what position 2 on that…

Q: An electron moves along the z-axis with V₂ = 2.6 x 107 m/s. As it passes the origin, what are the…

Q: the radius of orbit is constant find the altitude of the satellite above Earths surface

Q: IVIB and rotates with an angular velocity of 15 rad/s. Later disk I disk MA. If angular momentum is…

Q: skier is pulled up a slope at a constant velocity by a h respect to the horizontal. The force…

Q: 16. (1) Find the direction of the force on a negative charge for each diagram shown in Fig. 27-42,…

Q: Using graphical method, find the resultant vector. A ship sails north at 15 km/h but drifts westward…

A: A ships sails north =15 km/h Westward with the tide =8 km/h

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 17.- An American football player kicks the ball so that it has…

Q: After a fall, a 73 kg rock climber finds himself dangling from the end of a rope that had been 16 m…

Q: 1. A 350 N object floats with three-fourths of its volume beneath the surface of the water. What is…

A: Given that The weight of the object is (W) = 350 NWe need to determine the…

Q: DO A 89.1 kN car is traveling at 62.1 mph when the driver decides to exit the freeway by going up a…

A: W = 89100Nvi = 62.1mph = 27.76m/svf = 28.9mph = 12.92m/sd = 404Nh = 10.1mm = W/9.81 = 89100/9.81 Kg…

Question

3. (II) A small thin coil with N₂ loops, each of area A₂,
is placed inside a long solenoid, near its center. The
solenoid has №₁ loops in its length and has area A₁.
Determine the mutual inductance as a function of 0, the
angle between the plane of the small coil and the axis of
the solenoid.
(III)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information

VIEW

Step 2: Mutual inductance of two coils.

VIEW

Step 3: Calculation part

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

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

The self-inductance of a coil is zero if there is no current passing through the windings. True or false?
A 600-turn solenoid is 0.55 m long and 4.2 cm in diameter. Inside the solenoid, a small (1.1 cm × 1.4 cm), single-turn rectangular coil is fixed in place with its face perpendicular to the long axis of the solenoid. What is the mutual inductance of this system?
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=U
What is the peak emf generated by a 0.250 m radius, 500turn coil is rotated one-fourth of a revolution in 4.17 ms, originally having its plane perpendicular to a uniform magnetic field. (This is 60 rev/s.)
Solenoid A is tightly wound while solenoid B has windings that are evenly spaced with a gap equal to the diameter of the wire. The solenoids are otherwise identical. Determine the ratio of the energies stored per unit length of these solenoids when the same current flows through each.
When the current through a large inductor is interrupted with a switch, an are appears across the open terminals of the switch. Explain.
Can there be an induced emf in a circuit at an instant when the magnetic flux through the circuit is zero?
What happens to the amplitude of the induced emf when the rate of rotation of a generator coil is doubled? (a) It becomes four times larger. (b) It becomes two times larger. (c) It is unchanged. (d) It becomes one-hall as large. (e) It becomes one-fourth as large.
How fast can the 150 A current through a 0.250 H inductor be shut off if the induced emf cannot exceed 75.0 V?
The 4.00 A current through a 7.50 mH inductor is switched off in 8.33 ms. What is the emf induced opposing this?
Suppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m, what is the ratio of its outer radius to its inner radius?
4) A long solenoid has n=800 turns per meter and a current I = 2 sin(wt). Inside the solenoid with a= 0.5 m and coaxial with it is a coil that has a radius of b = 0.2 m and consists of N = 200 turns in Figure. Circuit has a variable resistor, and at t=2 s resistor has 4 2. |(a) Find the induced emf in the coil as a function of time if f=10 Hz. (b) Find the self-inductance of solenoid. (c) Find the current I,rms of the circuit. |(d) Write the expressions for E and B generated by solenoid in the form E = 4 sin(kx – wt) and B = Bmax sin(kx – wt) with numerical values for Bmax, k, and w when the wavelength 2 = 100 m, and the periot T=5 s. (Ho = 4n x 10-7 T.m/A, c = 3 × 108 m/s) %3D Coil, N. turns with radius b = 0.2 m Solenoid, n turns per meter I = 2 sin(wt) I = 2 sin(wt) AM V = 8 sin(wt) Variable resistor