For a technical application, an electrical engineer needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 3.30 N and the magnetic field of the solenoid with a current of 2.90 A should be 5.10 × 10-2 T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p = 1.70 x 10-8 n:m for the resistivity of copper.) (a) How many turns of wire does the electrical engineer need? turns (b) Determine the required length (in cm) of the solenoid. cm

For a technical application, an electrical engineer needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 3.30 N and the magnetic field of the solenoid with a current of 2.90 A should be 5.10 × 10-2 T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p = 1.70 x 10-8 n:m for the resistivity of copper.) (a) How many turns of wire does the electrical engineer need? turns (b) Determine the required length (in cm) of the solenoid. cm

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: It is desired to construct a solenoid that will have a resistance of 5.45 Ω (at 20°C) and produce a…

A: Given that, Resistance = 5.45 Ω Temperature = 200C Magnetic field = 4.00×10-2 T Current = 4.80 A…

Q: It is desired to construct a solenoid that will have a resistance of 5.45 (at 20°C) and produce a…

Q: It is desired to construct a solenoid that will have a resistance of 4.80 N (at 20°C) and produce a…

A: Resistance = 4.8 ohm resistivity= 1.7 x 10-8 ohm.m radius of wire= 0.25 mm Current =3.9 A…

Q: You have 1.0 kg of copper and want to make a practical solenoid that produces the greatest possible…

A: Formula for Magnetic field inside a solenoid:As per Ohm's lawformula for resistance of copper wire

Q: It is desired to construct a solenoid that will have a resistance of 5.75 (at 20°C) and produce a…

A: Resistance = 5.75 Temperature = 200C Magnetic field = Current = 4.85 ADiameter of wire= 0.500…

Q: to support an energy density of 1.00 J/m^3 within the volume of the solenoid, how much current must…

Q: An aluminum ring of radius r, = 5.00 cm and a resistance of 3.65 x 104 N is placed around one end of…

Q: (a) A physicist is constructing a solenoid. She has a roll of insulated copper wire and a power…

Q: Please helpe me

A: Given that: Resistance of solenoid 49 ohm.Magnetic field 4 × 10-² T.Current is 4.66 A.Radius 0.250…

Q: For a physics lab assignment, a student needs to create a solenoid using copper wire with diameter d…

A: The length we get will be in meter =0.0664m We convert it into cm for our final answer.

Q: A very long solenoid with tightly wound coils has8.00 * 10^3 turns of wire per meter of length. What…

A: Givens, n=Nl=8×103B→=0.032T

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

A: final answer is a) N= 828b) L = 1.83 cmi have attached the image belowExplanation:a)b)

Q: magnetic field of the solenoid

A: Given: Diameter of copper wire is dc=0.500 mm Resistance is R=3.50 Ω Current is I=3.50 A Magnetic…

Q: For a solenoid of the length of L =10 cm with N =500 turns and the current in the solenoid of I = 1A…

Q: It is desired to construct a solenoid that will have a resistance of 4.20 N (at 20°C) and produce a…

A: SOlution: Given that R =4.2 Ohm B= 4x10-2 T I = 3.95 A d = 0.5 mm r = 1 cm copper resistivity =…

Q: It is desired to construct a solenoid that will have a resistance of 2.69 ohm and produce a magnetic…

A: Given: Resistance of solenoid: R=2.69 [Ω] Magnetic field: B=4×10-2 [T] Current: 3.71 [A] Diameter…

Q: An air-filled solenoid has a diameter 10.5 cm and a length 5.58 cm, and it has 653 turns of wire. If…

Q: One insulated conductor from a household extension cord has a mass per length of 19.0 g/m. A section…

A: The speed of a simple standing wave can be given as The speed can also be given as Thus,

Q: or a class demonstration, a professor needs to create a solenoid using copper wire with diameter d =…

A: Conductor resistance is directly proportional to its length and inversely proportional to its…

Q: For a physics lab assignment, a student needs to create a solenoid using copper wire with diameter d…

A: Given, Diameter of copper wire (d) = 0.500 mm Resistance of solenoid (R) = 4.30 Ω Current in…

Q: In Figure (a), a circular loop of wire is concentric with a solenoid and lies in a plane…

Q: It is desired to construct a solenoid that will have a resistance of 4.45 Ω (at 20°C) and produce a…

Q: t is desired to construct a solenoid that will have a resistance of 4.50 Ω (at 20°C) and produce a…

A: Resistance, R = 4.50 Ω Field, B = 4.00 ✕ 10−2 T Current, I = 3.75 A Diameter of copper wire, d =…

Q: A solenoid has the following dimensions. inner diameter d = 4.22 cm length L= 42.7 cm When a current…

A: Given : d = 4.22cm = 0.0422m L = 42.7 cm = 0.427m B = 5.40 T

Q: A loop of wire is located in the x-y plane within a magnetic flux density of B = î 2 cos (6 · 10°t –…

A: The square loop of wire has a side length of 5 cm, or 0.05 m and is placed in the xy plane. This…

Q: For a physics lab assignment, a student needs to create a solenoid using copper wire with diameter d…

A: Step 1:

Q: If the radius of the solenoid is to be 1.00 cm, determine the following.

Q: An electron is moving at a speed of 1.70 x 10* m/s in a circular path of radius of 3.2 cm inside a…

Q: It is desired to construct a solenoid that will have a resistance of 6.00 Ω (at 20° C) and produce a…

Concept explainers

Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

Question

For a technical application, an electrical engineer needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 3.30 N and the magnetic field of the
solenoid with a current of 2.90 A should be 5.10 × 10-2 T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p = 1.70 x 10-8 n:m for the
resistivity of copper.)
(a) How many turns of wire does the electrical engineer need?
turns
(b) Determine the required length (in cm) of the solenoid.
cm

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 5 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 with 4 x 107 turns/m has an iron core placed in it whose magnetic susceptibility is 4.0 × 103 . (a) If a current of 2.0 A flows through the solenoid, what is the magnetic field in the iron core? (b) What is the effective surface current formed by the aligned atomic current loops in the iron core? (c) What is the self-inductance of the filled solenoid?
In a solenoid in vacuum of length l = 10 cm with 2052 turns per meter the current creates the field B = 70 µT. What will be the value of the current if the solenoid is placed in an external uniform magnetic field Bext = 35 µT with field lines exactly opposite to the field produced by the solenoid? Assume µo = 4Tt × 10¬7 H/m and give your answer in milli-amperes (mA).
For a technical application, an electrical engineer needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 5.10 2 and the magnetic field of the solenoid with a current of 3.10 A should be 5.90 x 10-2 T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p = 1.70 x 1080 m for the resistivity of copper.) (a) How many turns of wire does the electrical engineer need? turns (b) Determine the required length (in cm) of the solenoid. cm
For a physics lab assignment, a student needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 3.50 and the magnetic field of the solenoid with a current of 2.90 A should be 5.90 × 10-² T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p 1.70 x 10-8.m for the resistivity of copper.) (a) How many turns of wire does the student need? turns (b) Determine the required length (in cm) of the solenoid. cm
For a solenoid in vacuum of length l = 10 cm with 10* turns per meter calculate the value of the current if the solenoid is placed in an external uniform magnetic field Bext = 35 µT with field lines exactly opposite to the field produced by the solenoid. Take vacuum permeability Ho = 4x x 10-7 H/m. Provide your answer in SI units. Answer:
It is desired to construct a solenoid that will have a resistance of 5.30 Ω (at 20°C) and produce a magnetic field of 4.00 ✕ 10−2 T at its center when it carries a current of 3.40 A. The solenoid is to be constructed from copper wire having a diameter of 0.500 mm. If the radius of the solenoid is to be 1.00 cm, determine the following. (The resistivity of copper at 20°C is 1.7 ✕ 10−8 Ω · m.) (a) the number of turns of wire needed to build the solenoid (b) the length the solenoid should have, in cm.
Find the flux of the Earth's magnetic field of magnitude 5.00 ✕ 10-5 T, through a square loop of area 30.0 cm2 for the following. (a) when the field is perpendicular to the plane of the loop T·m2(b) when the field makes a 30.0° angle with the normal to the plane of the loop T·m2(c) when the field makes a 90.0° angle with the normal to the plane T·m2
How much current must pass through a horizontal power transmission cable in order for the magnetic field at a location 21 m directly below it to be equal to the Earth's magnetic field, which is approximately 8.0 x 10-5 T? Express your answer to two significant figures and include appropriate units. Value Units ?
It is desired to construct a solenoid that will have a resistance of 5.60 N (at 20°C) and produce a magnetic field of 4.00 X 10¬2T at its center when it carries a current of 3.10 A. The solenoid is to be constructed from copper wire having a diameter of 0.500 mm. If the radius of the solenoid is to be 1.00 cm, determine the following. (The resistivity of copper at 20°C is 1.7 × 10-8 0· m.) (a) the number of turns of wire needed to build the solenoid 1029 v turns (b) the length the solenoid should have X cm 1.034*10**7
It is desired to construct a solenoid that will have a resistance of 4.15 2 (at 20°C) and produce a magnetic field of 4.00 x 10-2 T at its center when it carries a current of 5.00 A. The solenoid is to be constructed from copper wire having a diameter of 0.500 mm. If the radius of the solenoid is to be 1.00 cm, determine the following. (The resistivity of copper at 20°C is 1.7 x 10-8 0 • m.) (a) the number of turns of wire needed to build the solenoid turns (b) the length the solenoid should have cm
You are working at a company that manufactures solenoids for industrial and research use. A client has ordered a solenoid that will be operated by a 1,000 V power supply and must be of length { = 36.0 cm. A cylindrical experimental package of radius r. = 1.85 cm must fit inside the solenoid. The client wants the largest possible magnetic field inside the solenoid. The thinnest copper wires allowed by your company are AWG 36, which corresponds to a wire diameter of d, = 0.127 mm. You determine the maximum magnitude of magnetic field (in T) that can be created in the solenoid to report to the client. (The resistivity of copper is 1.7 x 10-80: m.)