A solenoid of radius 5 cm has 428 turns and a length of 38 cm. (a) Find its inductance. μ 0 = 4 π × 10 − 7 T · m / A _______H b) Find the rate at which current must change through it to produce an emf of 75 mV. ________A/s

A solenoid of radius 5 cm has 428 turns and a length of 38 cm. (a) Find its inductance. μ 0 = 4 π × 10 − 7 T · m / A _H b) Find the rate at which current must change through it to produce an emf of 75 mV. __A/s

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter33: Inductors And Ac Circuits

Section: Chapter Questions

Problem 84PQ

See similar textbooks

Related questions

Q: A solenoid with 435 turns has a length of 7.50 cm and a cross-sectional area of 2.90 ✕ 10−9 m2. Find…

Q: A solenoid has an inductance of 23 mH. If the solenoid has 2200 turns per meter and a length of 15…

A: Concept:- The inductance of a solenoid is given by L=μ0 N2Al Here,…

Q: A solenoid with 485 turns has a length of 7.00 cm and a cross-sectional area of 3.50 x 10-9 m2. Find…

A: a) The inductance of the solenoid can be obtained as L=μ∘N2AlSubstituting the given values :L=(4π x…

Q: A solenoid of radius 2.30 cm has 560 turns and a length of 15.0 cm. (a) Find its inductance. 3.7…

Q: A solenoid with 455 turns has a length of 8.00 cm and a cross-sectional area of 2.90 ✕ 10−9 m2. Find…

Q: A solenoid 150 cm long has a radius of 4 cm. Approximately how many turns are needed to make the…

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

Q: An inductance of 1 henry and a resistance of 10 ohms are connected in series with an electromotive…

A: L = 1H R = 10 Ohm V0 = 120 Volt Now, by kirchoff law V0 - Ldi/dt - i R = 0 By solving this…

Q: What is the value of the equivalent inductance between the open terminals? 10 H 4 H 6H 5H 3H L 7H…

Q: A solenoid has a length of 30.0 cm and cross-sectional area 0.750 cm?, contains 500 turns and…

A: Given: Length of solenoid, l=30.0 cm Cross sectional area , A=0.750 cm2 Number of turns, N= 500…

Q: A current changing at a rate of 5 A/s in a coil of inductance 5 H induces an EMF of: O a. 1 V in the…

A: The expression for emf is ε=-MdIdt

Q: Find the equivalent inductance seen at the terminals of the circuit 1 H 2 H Leg 5 H 3 H O 3.5 H O…

A: L5 is connected to L2 and L3 in parallel where L2 and L3 are connected in series…

Q: The self inductance of the coil in the electric motor of the Prius is 200 mH. When the car starts…

A: The expression for Emf

Q: An RL circuit consists of a battery E = 24.0 volts, a resistor R = 4.5 ohms, and an inductor L =…

A: We have given data; ε = 24 v , R = 4.5 Ω, L = 12 H , I = 4 A , t = 5s

Q: Using applications of Differential Equations. If the circuit is moved to position 2, find the…

Q: What is the self-inductance of an ideal solenoid that is 300 cm long with a cross-sectional area of…

A: Length (L) = 300 cm = 3 m Area of cross section (A) = 10-4 m2 Number of turns (N) = 1000

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

Q: A solenoid with 425 turns has a length of 5.50 cm and a cross-sectional area of 2.60 ✕ 10−9 m2. Find…

A: Given quantities: Number of turns (N) = 425 Length of the solenoid (d) = 5.50 cm Area of…

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: Find the cross-sectional area of a 5.1 cm long solenoid with 480 turns and a self-inductance of 44…

A: Length (L) = 5.1 cm = 0.051 m Number of turns (N) = 480Self inductance = 44 μH

Q: A solenoid of radius 2.70 cm has 580 turns and a length of 15.0 cm. (a) Find its inductance. mH (b)…

A: Given radius of solenoid(r)=0.027 m so cross section arey(A)=0.00229 m2 turns(N)=580 length(l)=0.15…

Q: A solenoid of radius 3.5 cm has 580 turns and a length of 25 cm. Find its inductance. ______mH…

Q: 4.30 2 3. In the circuit the emf e 19.5 volts and the inductance L 107 mH. What will be the energy…

A: Given: The emf of the battery is 19.5 V. The inductance of the inductor is 107 mH. The time interval…

Q: A solenoid with 495 turns has a length of 8.00 cm and a cross-sectional area of 3.20 ✕ 10−9 m2. Find…

A: Required : (a)the solenoid's inductance (in H)H(b)the average emf around the solenoid (in V)V

Q: A 30-cm-long cylindrical solenoid with a radius of 5.0 cm consists of 500 turns wrapped around its…

Q: For the circuit shown below, find the current through the inductor 2.0 × 10−5 s after the switch is…

A: From the circuit diagram and the Kirchhoff’s junction rule. The current through the inductor is:…

Q: what is the inductance of a coil wire that generates an instantaneous voltage of 1 v when the…

A: Given: Voltage V=1 V Rate of change of current dIdt=0.1 A/s

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: A solenoid with 475 turns has a length of 6.00 cm and a crosssectionalarea of 2.80 x 10-9 m2. Find…

A: Let the number of turns in the coil be denoted by N, and let the length of the solenoid be denoted…

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

Q: with 435 turns has a length of 6.50 cm and a cross-sectional area of 3.10 ✕ 10−9 m2. Find the…

A: Given values:- Number of turns,(N)=435 Turns ----(1) Length of solenoid,(l)=6.50 cm=6.50 x 10-2 m…

Q: The current in the solenoid, whose inductance is L = 0.120 H, change in time according to the…

Q: A solenoid of radius 2.5 cm has 400 turns and a lengthof 20 cm. Find (a) its inductance and (b) the…

A: The inductance of a solenoid is,

Q: A 25 cm long solenoid of 100 turns with area of 9 cm2 has current of 1.5 A changing at a rate of 2…

A: Length, d = 25 cm = 0.25 m Turns, N = 100 Area, A = 9 cm2 Current, I = 1.5 A di/dt = 2 A/s

Q: Find the energy stored in the magnetic field of an inductor having inductance 12.5 mH carrying the…

A: The expression for the stored energy is,

Q: A solenoid of radius 1.70 cm has 480 turns and a length of 15.0 cm. (a) Find its inductance.(in mH)…

Q: For a technical application, an electrical engineer needs to create a solenoid using copper wire…

Q: The self-inductance of the circuit in the figure below is 9.20 10-8 H. Find the back emf when the…

Q: A circuit consist of an inductor of inductance value P and a resistor of a resistance value 46 N.…

Q: A solenoid of radius 2.30 cm has 440 turns and a length of 25.0 cm. (a) Find its inductance.…

A: Given: A solenoid of radius r = 2.30 cm = 0.023 m; Number of turns N = 440 and a length of l = 25.0…

Q: What energy is stored in an inductor of 40 mH when a current of 8 A is passing through it? O A. 1.6…

Q: A solenoid with 465 turns has a length of 7.50 cm and a cross sectional area of 2.70×10^-9 m^2. Find…

A: Number of turns (N) = 465Length (L) = 7.50 cm = 0.075 m Area of cross section (A) = 2.7×10-9…

Q: A solenoid with 495 turns has a length of 5.00 cm and a cross-sectional area of 2.90 ✕ 10−9 m2. Find…

A: Given The number of turns of a solenoid is N=495 turns. The length of the solenoid is l=5 cm=5×10-2…

Q: Question 11: Find the equivalent inductance (Leq of the circuit given below. mH 59 mH 119 mH ll L4…

Q: A 30-cm-long cylindrical solenoid with a radius of 5.0 cm consists of 500 turns wrapped around its…

A: Given length of solenoid= 0.3m radius of solenoid= 0.05m number of turns = 500 Aim : To find self…

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 5 cm has 428 turns and a length of 38 cm.

(a) Find its inductance. μ 0 = 4 π × 10 − 7 T · m / A

_______H

b) Find the rate at which current must change through it to produce an emf of 75 mV.

________A/s

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

A solenoid of radius 3.5 cm has 580 turns and a length of 25 cm. Find its inductance. ______mH Find the rate at which current must change through it to produce an emf of 70 mV. (Enter the magnitude.) A/s
Given: L1 = 18 mH L2 = 23 mH L3 = 0.011 H L4 = 14533 mH L5 = 81 uH D Im Calculate the total inductance of the circuit, LT.
a circuit having an inductance of L=2mH has a current that varies with time as I=t^3e^-t. find the time it takes for EMF to become zero
A series RL circuit with inductance 6.0 mH and resistance 202 is connected to a 12.0-V battery of negligible internal resistance. The rate of change of current in the circuit 4.0 As after the switch is closed is O 2.0 x 10³ A/s. O 1.0 x 10³ A/s. O 0.60 A/s. O 7.2 A/s. O 3.0 A/s.
Starting with emf2 = -M ΔI1/ Δt , show that the units of inductance are (V . s)/A = Ω.s .
A solenoid has an inductance of 23 mH. If the solenoid has 2200 turns per meter and a length of 15 cm, find the cross-sectional area of the solenoid. a) O 0.057 m² b) O 0.025 m2 c) O 0.021 m² d) O 0.036 m2
There is a solenoid with an inductance of 0.285 mH, a length of 36 cm, and a cross-sectional area of 6×10−4 m2. Suppose at a specific time the emf is 12.5 mV, find the rate of change (Ampere per second) of the current at that time. Find the number of turns of the solenoid. Round your answer in one decimal place.
An RL circuit has an emf of 5 volts, a resistance of 50 ohms, an inductance of 1 henry, and no initial current. Find the current in the circuit at time t = 2 ms. Express your answer in mA and round-off to three (3) decimal places. O 5.916 mA O 5.619 mA O 9.516 mA O 6.915 mA
1. b) Write down the second order ordinary differential equation that represents the electric circuit. Where R = 302, C=1/7 F, L = 4 H, and the voltage source E(t) = 110 Sin377t DO NOT SOLVE THE SYSTEM FOR CURRENT. R www C E(t) = Esin ot еее
A 506-turn solenoid has a radius of 7.80 mm and an overall length of 12.6 cm. (a) What is its inductance? mH (b) If the solenoid is connected in series with a 2.50-N resistor and a battery, what is the time constant of the circuit? ms
A solenoid has an inductance of 23 mH. If the solenoid has 2200 turns per meter and a length of 15 cm, find the cross- sectional area of the solenoid. a) 0.057 m? b) 0.025 m2 c) 0.021 m2 d) 0.036 m2
4.30 2 3. L In the circuit the emf ɛ = 190 volts and the inductance L=34.6 mH. What will be the magnitude of the voltage difference across the inductor at a time 14.6 ms after the switch is closed? (State answer with 1 digit right of decimal. Do not enter unit.) ll