A technician wraps wire around a tube of length 33 cm having a diameter of 8.1 cm. When the windings are evenly spread over the full length of the tube, the result is a solenoid containing 590 turns of wire.

1 answer
Question:

A technician wraps wire around a tube of length 33 cm having a diameter of 8.1 cm. When the windings are evenly spread over the full length of the tube, the result is a solenoid containing 590 turns of wire. (a) Find the self-inductance of this solenoid. (b) If the current in this solenoid increases at the rate of 3 A/s, what is the self-induced emf in the solenoid?

Answers

Explanation:It is given that,Length of the tube, l = 33 cm = 0.33 mDiameter of the tube, d = 8.1 cm = 0.081 mNumber of turns, N = 590(a) We need to find the self- inductance of the solenoid. The formula for the self inductance is given by :[tex]L=\dfrac{\mu_o N^2A}{l}[/tex]A is the area of the solenoid[tex]L=\dfrac{4\pi \times 10^{-7}\times (590)^2\times \pi \times (0.0405)^2}{0.33}[/tex]L = 0.00683 HorL = 6.83 mHSo, the self inductance of the solenoid is 6.83 mH.(b) The current in this solenoid increases at the rate of 3 A/s. [tex]\dfrac{dI}{dt}=3\ A/s[/tex]EMF in the solenoid is given by :[tex]E=-L\dfrac{dI}{dt}[/tex][tex]E=-6.83\times 3[/tex]E = -20.49 voltHence, this is the required solution.

Similar Solved Questions

1 answer

IF tan Φ=0.7352, where 0° <Φ<90°. Find the value of Φ​

IF tan Φ=0.7352, where 0° <Φ<90°. Find the value of Φ​...
1 answer

The length of the base of an isosceles triangle is x. The length of a leg is 3x-2. The perimeter of the triangle is 52 . Find x.

The length of the base of an isosceles triangle is x. The length of a leg is 3x-2. The perimeter of the triangle is 52 . Find x....
1 answer

Imagine a proton at rest a certain distance from a negatively charged plate. It is released and collides with the plate. Then imagine the similar case of an electron at rest, the same distance away, from a plate of equal and opposite charge. In which case would the moving particle have the greater speed when the collision occurs

Imagine a proton at rest a certain distance from a negatively charged plate. It is released and collides with the plate. Then imagine the similar case of an electron at rest, the same distance away, from a plate of equal and opposite charge. In which case would the moving particle have the greater s...
2 answers

Every whole number is a rational number. a) TRUE b) FALSE

Every whole number is a rational number. a) TRUE b) FALSE...
1 answer

Please Help 83 Points In chapter five, why does Jem wait until Atticus is “out of earshot” to yell back to him? What does this suggest about Jem’s relationship with his father?

Please Help 83 Points In chapter five, why does Jem wait until Atticus is “out of earshot” to yell back to him? What does this suggest about Jem’s relationship with his father?...
1 answer

A mass of 1.03 kilograms is placed on a horizontal frictionless surface against an uncompressed spring with spring constant 861.1 N/m. The mass is pushed against the spring until the spring is compressed a distance 0.36 m and then released. How high (vertically) in m does the mass rise from the original height before it stops (momentarily).

A mass of 1.03 kilograms is placed on a horizontal frictionless surface against an uncompressed spring with spring constant 861.1 N/m. The mass is pushed against the spring until the spring is compressed a distance 0.36 m and then released. How high (vertically) in m does the mass rise from the orig...
1 answer

What is the basic economic problem? a Creating stability in the stock market. b Making products available at places that are convenient for customers. c Being a competitive business in the marketplace. d Making choices about using limited resources to satisfy unlimited wants. im on a test please help

What is the basic economic problem? a Creating stability in the stock market. b Making products available at places that are convenient for customers. c Being a competitive business in the marketplace. d Making choices about using limited resources to satisfy unlimited wants. im on a test please...
2 answers

Atomic Structure 1. Answer. Protons are found in the: The number of protons determines: The number of protons is called: Where you look to find the number of protons: Protons are charged: Neutrons are found in the: Neutrons are charged: They help protons by: The mass of protons and neutrons are: Electrons mass is: Electrons are charged: In a neutral atom: Electrons are responsible for:

Atomic Structure 1. Answer. Protons are found in the: The number of protons determines: The number of protons is called: Where you look to find the number of protons: Protons are charged: Neutrons are found in the: Neutrons are charged: They help protons by: The mass of protons and neutrons are: Ele...
2 answers

What major situations exist in the home countries that help to create a refugee problem for Sub-Saharan Africa? A) vacation and recreation B) war and religious conflict C) trying to escape pollution problems D) people looking for new job opportunities

What major situations exist in the home countries that help to create a refugee problem for Sub-Saharan Africa? A) vacation and recreation B) war and religious conflict C) trying to escape pollution problems D) people looking for new job opportunities...
1 answer

Use the data you've found up to this point to fill in the final column. c =, d =

Use the data you've found up to this point to fill in the final column. c =, d =...
1 answer

Simplify using PEMDAS 2x - 3X + 4X -5X=​

simplify using PEMDAS 2x - 3X + 4X -5X=​...
1 answer

You are the owner of a small catering company and have recently hired a skilled baker to complement your staff. When business is slow, however, you need the baker to help prepare other kinds of foods. Some of the processes (like deboning fish and preparing soup stock) are complicated and require detailed training. What style should you use under these circumstances? A. Style 1 B. Style 2 C. Style 3 D. Style 4

You are the owner of a small catering company and have recently hired a skilled baker to complement your staff. When business is slow, however, you need the baker to help prepare other kinds of foods. Some of the processes (like deboning fish and preparing soup stock) are complicated and require det...
1 answer

Anybody good at chemistry that is willing to help?? If you could that'd be greatly appreciated! (25 PTS)

Anybody good at chemistry that is willing to help?? If you could that'd be greatly appreciated! (25 PTS)...
1 answer

Can someone plsss helppppp Spanish Answer blanks

Can someone plsss helppppp Spanish Answer blanks...
1 answer

Can u help me Find the Slope for (-4,-1),(-4,-5)

Can u help me Find the Slope for (-4,-1),(-4,-5)...
1 answer

When Europeans brought new diseases to the Americas as part of the Columbian Exchange, what was the outcome?

When Europeans brought new diseases to the Americas as part of the Columbian Exchange, what was the outcome?...
1 answer

Which state ment is true regarding the graphed function F(4)= g(4) F(4)= g(-2) F(2)= g(-2) F(-2)= g(-2)

Which state ment is true regarding the graphed function F(4)= g(4) F(4)= g(-2) F(2)= g(-2) F(-2)= g(-2)...
1 answer

In the hospital cafeteria, a hospital employee suddenly begins to cough loudly at her table. she appears to be trying to get something out of her throat. her eyes are watering and she continues to cough forcefully. what should you do?

In the hospital cafeteria, a hospital employee suddenly begins to cough loudly at her table. she appears to be trying to get something out of her throat. her eyes are watering and she continues to cough forcefully. what should you do?...
1 answer

What’s the volume. Help please!!!!!

What’s the volume. Help please!!!!!...

-- 0.016667--