A toroidal solenoid has 550 turns, cross-sectional area 6.40 cm^2, and mean radius 4.60 cm. Part A Calcualte the coil's self-inductance. Part B If the current decreases uniformly from 5.00 AA to 2.00 AA in 3.00 msms, calculate the self-induced emf in the coil.

A toroidal solenoid has 550 turns, cross-sectional area 6.40 cm^2, and mean radius 4.60 cm. Part A Calcualte the coil's self-inductance. Part B If the current decreases uniformly from 5.00 AA to 2.00 AA in 3.00 msms, calculate the self-induced emf in the coil.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 30P: A long solenoid with n= 10 turns per centimeter has a cross-sectional area of 5.0 cm2and carries a...

See similar textbooks

Related questions

Q: Two coils are at fixed locations. When coil 1 has no current and the current in coil 2 increases at…

A: The rate of change of current,

Q: (a) If an inductor carrying a 1.70-A current stores an energy of0.300 mJ, what is its inductance?…

A: The energy stored by an inductor is,

Q: A rectangular conducting loop is placed on a flat surface, with the longer sides parallel to a…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Two coils are at fixed locations. When coil 1 has no current and the current in coil 2 increases at…

Q: Your RL circuit has a characteristic time constant of 20.0 ns, and a resistance of 5.00 MΩ. (a)…

A: a) Characteristic time constant, τ=LR20×10-9=L5×106L=0.1H

Q: The magnitude of the self induced emf is 0.0350 V at the instant when the current in an inductor is…

A: Given data: Self induced emf (ε) = 0.0350 V | di/dt |= 0.0210 A/s Current (i) = 0.420 A Number of…

Q: A long solenoid has n=900 turns per meter and a current ? = 3.2 sin(??). Inside the solenoid with a=…

A: n= 900 turn , a= 0.5 m Nc= 100 turns, b= 0.2 m I= 3.2 sin wt

Q: A 521-turn solenoid has a radius of 7.00 mm and an overall length of 15.0 cm. (a) What is its…

A: Given: No. of Turns (N) = 521 Radius (r) = 7 mm = 0.007 m; Length (l) = 15 cm = 0.15 m

Q: Calculate the inductance of the coil shown in Figure Q3(b), which has a cylindrical iron core with…

A: Given Data: The relative permeability of iron core is: μr=2000 The number of turns of the coil is:…

Q: An air-core solenoid has N = 575 turns, d = 0.37 m length, and cross sectional area A = 0.074 m2.…

Q: n inductance of 3 H and a wire resistance of 15 Ω. How long will it take for the current to reach…

A: GivenL=3 HR=15 Ω

Q: Two coils are at fixed locations. When coil 1 has no current and the current in coil 2 increases at…

Q: A toroidal solenoid has 500 turns, cross-sectional area 6.25 cm2, and mean radius 4.00 cm. (a)…

A: (a) Write the formula for the self-inductance of the rectangular toroid.

Q: An inductor is built using a circular coil that is l 0.50 m long, has radius R 10.0 cm, and consists…

A: a)Self inductance of the coil is,

Q: Suppose a 57.5 cm long, 11.5 cm diameter solenoid has 1000 loops. Part (a) Calculate the…

A: Answer:- Given The length of the solenoid(xo) = 57.5 cm = 0.575 m The diameter of the…

Q: h y Calaulate the inductance of the very long conductive wire that carries currer and the conductive…

A: Mutual Inductance is the ratio of the magnetic flux through a body (due to the magnetic field…

Q: A long, cylindrical solenoid with 90 turns per centimeter has a radius of 4 cm. (a) Neglecting end…

A: Given we are given the number of turns = n = 90turns/cm 100*100 turns/m and its radius is = r = 4cm…

Q: The current in a coil drops from 3.8 A to 1.9 A in 0.52 s. If the average emf induced in the coil is…

A: The self induction of the coil is 3.28 mH

Q: A 60.0-m length of insulated copper wire is wound toform a solenoid of radius 2.0 cm. The copper…

A: Please post the remaining subparts as seperate questionPart A:

Q: At time t =0, a 45 V potential difference is suddenly applied to the leads of a coil with inductance…

A: The equation for the current is given by,

Q: what is inductance of toroi d with N winds, ciTcular cross cection of Yadivs a overall radius R?Q?<R…

A: Solution: given that number of turns=N coil radius =a overall radius =R

Q: A long, cylindrical solenoid with 180 turns per centimeter has a radius of 2.5 cm. (a) Neglecting…

Q: An air-core solenoid has N = 1525 turns, d = 0.37 m length, and cross sectional area A = 0.066 m2.…

Q: Find the inductance and induced emf for a solenoid with a cross-sectional area of 1.3 × 10-3m2. The…

A: Given: Cross-sectional area of solenoid = 1.3×10-3 m2. Length of solenoid l = 9.0 cm. = 9×10-2 m.…

Q: The current in a 62 mH inductor changes with time as I = bt2 - at. With a 6 A/s and b = 6 A/s, find…

Q: Calculate the inductance (H) of an air cored coil that has a length of 11 cm, a core with…

Q: A air-filed solenoid 18.3 cm diameter and length 23 cm, has 120 turns. If the current increases from…

A: Diameter , d = 18.3 cm = 0.183 m Length , L = 23 cm = 0.23 m Number of turns , N = 120 turns…

Q: The heating coils in a hair dryer are 0.87 cm in diameter, have a combined length of 0.8 m, and a…

A: Given that diameter d=0.87cm so,radius r=0.435cm length l=0.8m,N=480 turns a) We know that total…

Q: An air core solenoid has a length of 10 cm and a cross-sectional area of 5 cm?. If it is wound with…

Q: a solenoid with a cross-sectional of 5cm^2 has 1000 turns and is 35 cm long. a second coil is…

A: (a) Find the mutual inductance of the inductor. M=μ0N1N2Al=4π×10-7 H/m10004005×10-4 m20.35…

Q: A constant current of I = 15 A exists in a solenoid whose inductance is L = 3.8 H. The current is…

A: SOlution: given that I = 15 AL = 3.8 H a) to find emf b). to find energy stored c). rate at which…

Q: In the toroidal core-coil assembly of Figure 2, the coil has N= 250 turns, the relative permeability…

A: (a) The magnetic flux density at the mean radius of the toroid can be determined as, Here, µo, I ,…

Q: Figure 6 shows a toroid with cross sectional area 4= 5 cm², radius r = 0.1 m, N=200 turns of wire on…

Concept explainers

Voltage Across Inductor

An actor is a passive electrical component that consists of a coil bent in the form of wire which uses electromagnetism to produce electric current through the coil. When the electric current flows through a conductor that is the coil, a magnetic flux is developed around the conductor. This flow of current through the coil creates a magnetic field based on Fleming's Right-hand thumb rule. If there is any decrease in the current passing through the inductor, then the magnetic field will also decrease and energy is released through the generation of electric current. There is also a secondary voltage inducing in the same coil due to the magnetic flux, since it opposes any changes in the electric current flowing through the circuit. An inductor is also called choke, coil, or solenoid. A choke is designed to block certain frequencies when the DC current passes. A winding coil is coated with insulation to give extra insulation and protect the circuit. They are usually tightly wrapped around a central core which is cylindrical in nature so that the magnetic flux can be induced. The solenoid is a three-dimension coil that is used to exhibit electromagnetism when the magnetic field is developed due to the current flowing through the coil. The sign convention of the inductor is the same as the power dissipating device. When the current flows into the positive side of the voltage across the inductor, the value is positive and the inductor dissipates power whereas when the inductor releases the power back to the circuit, the current has a negative sign convention. 

Question

A toroidal solenoid has 550 turns, cross-sectional area 6.40 cm^2, and mean radius 4.60 cm.

Part A

Calcualte the coil's self-inductance.

Part B

If the current decreases uniformly from 5.00 AA to 2.00 AA in 3.00 msms, calculate the self-induced emf in the coil.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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

A 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.
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?
Suppose 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?
A coil with a self-inductance of 3.0 H carries a current that decreases at a uniform rate dl/dt = -0.050 A/s. What is the emf induced in the coil? Describe the polarity of the induced emf.
The self-inductance of a coil is zero if there is no current passing through the windings. True or false?
What is the self-inductance per meter of a coaxial cable whose inner radius is 0.50 mm and whose outer radius is 4.00 mm?
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
In an oscillating LC circuit the maximum charge on the capacitor is 2.0 × 10-6 C and the maximum current through the inductor is 8.0 mA. (a) What is the period of the oscillations? (b) How much time elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged?
A long solenoid with n= 10 turns per centimeter has a cross-sectional area of 5.0 cm2and carries a current of 0.25 A. A coil with five turns encircles the solenoid. When the current through the solenoid is turned off, it decreases to zero in 0.050 s. What is the average emf induced in the coil?
A solenoid 50 cm long is wound with 500 turns of wire. The cross-sectional area of the coil is 2.0 cm2. What is the self-inductance of the solenoid?
Two coils have a mutual inductance of 480mH. One coil is supplied with a current given by I(t) = 3t2 – 2t - 6, where I(t) is in amperes and t in seconds. What is the induced EMF in the other coil at t=3.5s?
At time t =0, a 45 V potential difference is suddenly applied to the leads of a coil with inductance L= 50 mH and resistance R = 180 ohm. At what rate is the current through the coil increasing at t = 1.2 ms?