Answered: A solenoid of radius 2.5 cm has 400…

A solenoid of radius 2.5 cm has 400 turns and a lengthof 20 cm. Find (a) its inductance and (b) the rate at whichcurrent must change through it to produce an emf of 75 mV.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter14: Inductance

Section: Chapter Questions

Problem 14.6CYU: Check Your Understanding How much energy is stored in the inductor of Example 14.2 after the current...

See similar textbooks

Related questions

Q: A solenoid of radius 2.30 cm has 660 turns and a length of 25.0 cm. (a) Find its inductance. mH (b)…

A: Given Radius of the solenoid is r=2.30 cm=0.023 m Number of turns in the solenoid is N=660 Length of…

Q: Suppose that a rectangular toroid has 1500 windings and a self-inductance of 0.04 H. If the height…

A: Given : Number of turns, N= 1500 Self Inductance, L =0.04 H Height , h = 0.08 m Energy stored , U=…

Q: If the value of inductance is 20 H and 4A of current flows through it, Find the value of energy…

A: Formula used to find energy stored in inductor is U = 0.5 L I2

Q: A solenoid of radius 4.5 cm has 540 turns and a length of 15 cm. (a) Find its inductance. |mH (b)…

A: L=μ0N2A2πr=μ0N2πr22πr=μ0N2r2=4π×10-7 H/m54020.045 m2=8.24×10-3 H1 mH10-3 H=8.24 mH

Q: A coil has 2.55-ΩΩ resistance and 121-mH inductance. If the current is 3.00 A and is increasing at…

Q: Find the magnetic energy stored by a 4.94 mH inductor when the current through it is 1.3 A.

A: Given data: Inductance (L) = 4.94 mH = 4.94×10-3 H Current (I) = 1.3 A Required: The magnetic…

Q: The wire of a tightly wound solenoid is unwound andused to make another tightly wound solenoid of…

A: The mathematical expression for the inductance is given as L=μ0N2Al Here, μ0 is the permittivity of…

Q: A solenoid of radius 1.50 cm has 620 turns and a length of 25.0 cm. (a) Find its inductance. mH (b)…

Q: An inductor has a current I(t) = (0.500 A) cos[(275s-1)t] flowing through it. If the maximum emf…

A: An inductor is a passive electrical device which stores energy in a magnetic field when current is…

Q: An ideal air-core solenoid has a length of 6.5 cm, area of 2 c and 3000 turns. Find the…

A: Length , l = 6.5 cm = 6.5 x 10-2 m Area , A = 2 cm2 = 2 x 10-4 m2 Number of turns , N = 3000 turns…

Q: If the emf of the battery of Figure 14.12 (b) is reduced by a factor of 2, by how much does the…

A: The inductor’s energy can be given as, Here, L and I represent the inductor’s inductance and…

Q: Find the inductance of an RL circuit if the resistance is 0.5?and the current increases to ¼ of tis…

A: resistance (R) = 0.5 ohm Time (t) = 1.5 seconds Current = Imax4

Q: A 10.0-mH inductor carries a current i = Imax sin ωt, with Imax = 5.00 A and f= ω/2π = 60.0 Hz. What…

Q: A solenoid of radius 4.5 cm has 620 turns and a length of 15 cm. (a) Find its inductance. mH (b)…

Q: How can we calculate the self inductance of a solenoid?

A: Solenoid is a device made by a coil of wire.

Q: Find the magnetic energy stored by a 4.94 mH inductor when the current through it is 10.3 A.

A: Given: The inductance of the inductor is 4.94 mH. The electric current is 10.3 A.

Q: A solenoid of radius 3.30 cm has 800 turns and a length of 15.0 cm. (a) Find its inductance. mH (b)…

A: Given: Radius of the solenoid, r = 3.3 x 10-2 m…

Q: Since inductors can be used as energy storage elements, how much inductance is needed to power up a…

Q: If you want a characteristic RL time constant of 1.20 s, and you have a 490 N resistor, what value…

Q: The time for the current in the resistor of an RL circuit, in units of ms, to reach -63% of its…

A: Given:- The resistance R = 513 ohm The inductor L = 87.3 mH Find:- The time for the current in…

Q: A 24-V battery is connected in series with a resistor and aninductor, with R = 8.0 Ω and L = 4.0 H,…

A: Formula to calculate current at any time in a circuit is,

Q: Calculate the self-inductance (in mH) of a 50.0 cm long, 10.0 cm diameter solenoid having 1000…

Q: A solenoid of radius 1.50 cm has 620 turns and a length of 25.0 cm. (a) Find its inductance. mH (b)…

A: Write the given values with the suitable variables. r=1.50 cm=1.5×10-2 mN=620l=25 cm=0.25 mε=90…

Q: A solenoid of radius 3.5 cm has 800 turns and a length of 25 cm. (a) Find its inductance. mH (b)…

A: Given: The radius of the solenoid is 3.5 cm = 0.035 m. { 1 cm =…

Q: How fast can the 160 A current through a 0.260 H inductor be shut off if the induced emf cannot…

A: Current , I = 160 A Inductor , L = 0.26 H Induced emf = 73 V To find = Time taken

Q: A coil has 3.45 Ω resistance and 450 mH inductance. If the current is 3.92 A and is increasing at a…

A: The equation for the potential difference across the coil can be given by the equation

Q: Suppose that a rectangular toroid has 1, 600 windings and a self-inductance of 0.070 H. If h = 0.13…

Q: When the current through a large inductor is interrupted with a switch, an arc appears across the…

A: In an inductor an induced emf is produced when current flows through it due to mutual inductance.

Q: A solenoid of radius 4.5 cm has 800 turns and a length of 25 cm. (a) Find its inductance. mH (b)…

Q: An ideal air-core solenoid has a lngth of 6.5cm, area of 2cm^2 and 3000 turns. Find the…

A: The self-inductance of the given solenoid is Ls=μ0N2Al=4π×10-7 T·m/A300022 cm210-4 m 1 cm26.5…

Q: How many turns should a solenoid of cross-sectional area0.035 m2 and length 0.32 m have if its…

A: The solenoid’s cross-sectional area is, The solenoid’s length is, The inductance of a solenoid is,

Q: Calculate the inductance of a solenoid that is 1.5 cm long and 3.0 mm in diameter, with 300 turns of…

A: Given data: Length of the solenoid, l = 1.5cm = 0.015m Diameter of the solenoid, d = 3mm =…

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: A 96-mH solenoid inductor is wound on a form 0.80 m in length and 0.10 m in diameter. A coil is…

A: Given: Inductance of inductor, L = 96 mH = 96 X 10-3 H Length of wire, l = 0.8 m Diameter of wire, d…

Q: A rectangular loop of N closely packed turns is positionednear a long straight wire .What is the…

A: Basic Details The self-inductance depends on the number of turns, the flux of the loop and the…

Q: The current of a coil of inductance L = 0.1 H varies with time according to I = 4 t2 - 6 t, where I…

Q: An ideal solenoid has a length of 25 mm. If the windings are compressed so that the length is…

A: Inductance: Inductance of a coil is defined as the emf induced in the coil when the current in a…

Q: A single loop is made around the center of a solenoid with a length of 20 m and a radius of 5m. How…

A: Given Length of solenoid, h = 20 m Radius of solenoid,R = 5 m Mutual inductance, L = 1 Henry No…

Q: A 96-mH solenoid inductor is wound on a form 0.80 m in length and 0.10 m in diameter. A coil is…

A: Given : Inductance=I=96 mH Length=l=0.80 m Radius=r=0.05 m Resistance of coil=R=9.9 ohm Mutual…

Q: A 96-mH solenoid inductor is wound on a form 0.80 m in length and 0.10 m in diameter. A coil is…

Q: A magnetic field of 0.200 T exists within a solenoid of 340 turns and a diameter of 10.0 cm. Within…

Q: The self-inductance of a coil of 500 turns is 0.25h. Y 60% of the flux of the last coil of its speed…

A: Given, No.of coil(N)=500 Self-inductance (L)=0.25h Current per second=100amp/sec

Q: Suppose that a rectangular toroid has 2000 windingsand a self-inductance of 0.040 H. If h = 0.10 m ,…

A: Given Data: The number of winding is, N = 2000. The self inductance is, L=0.040 H. The height is, h…

Q: An ideal air-core solenoid has a length of 6.5 cm, area of 2 cm2 and 3000 turns. Find the…

A: Given values: Length, l=6.5 cm Area, A=2 cm2 Number of turns, N=3000 turns

Q: An inductor with inductance 15.34H and a resistor w/ resistance 3.432 are connected in series to a…

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 solenoid of radius 2.5 cm has 400 turns and a length
of 20 cm. Find (a) its inductance and (b) the rate at which
current must change through it to produce an emf of 75 mV.

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

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?
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?
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
Would the self-inductance of a 1.0 m long, tightly wound solenoid differ from the self-inductance per meter of in infinite, but otherwise identical, solenoid?
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.
Check Your Understanding How much energy is stored in the inductor of Example 14.2 after the current reaches its maximum value?
Show that for the circuit shown below, the initial energy stored in the inductor, LI2(0)/2 , is equal to the total energy eventually dissipated in the resistor 0I2(t)Rdt.
A solenoid of N1turns has length l1and radius R1, and a second smaller solenoid of N2turns has length l2and radius R2. The smaller solenoid is placed completely inside the larger solenoid so that their long axes coincide. What is the mutual inductance of the two solenoids?
Show that N m /l and el(dl/dt), which are both expressions for se1f-inductance, have the same units.
Suppose that a rectangular toroid has 2000 windingsand a self-inductance of 0.040 H. If h = 0.10 m , what isthe ratio of its outer radius to its inner radius?
Calculate the self-inductance (in mH) of a 50.0 cm long, 10.0 cm diameter solenoid having 1000 loops. How much energy (in J) is stored in this inductor when 21.5 A of current flows through it? How fast (in s) can it be turned off if the induced emf cannot exceed 3.00 V?
An ideal solenid of unknown length and cross-section has an inductance of 4.0mH. When current flows through the solenoid, there is an induced emf of 2.0V in the solenoid. Calculate the rate at which the current flowing through the solenoid is changing.