Question: A very long straight solenoid has a cross-section radius R and n turns per unit length. A direct current I flows through the solenoid. Suppose

A very long straight solenoid has a cross-section radius R and n turns per unit length. A direct current I flows through the solenoid. Suppose that x is the distance from the end of the solenoid, measured along its axis. Find:
(a) The magnetic induction B on the axis as a function of x; d caw an approximate plot of B vs the ratio x/R,
(b) The distance x0 to the point on the axis at which the value of B differs by η = 1% from that in the middle section of the solenoid.

Step by Step Solution

★★★★★

3.44 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

We proceed exactly as in the previous problem Then a the magnetic ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

P-E-M-F (513).docx

120 KBs Word File

Students Have Also Explored These Related Electricity and Magnetism Questions!

A long solenoid of n turns per unit length has a current that slowly increases with time. The solenoid has radius R, and the current in the windings has the form I(t) = at. (a) Find the induced...

A very long straight wire carries current I. In the middle of the wire a right-angle bend is made. The bend forms an arc of a circle of radius r, as shown in Figure P30.10. Determine the magnetic...

A very long straight uniformly charged thread carries a charge per unit length. Find the magnitude and direction of the electric field strength at a point which is at a distance y from the thread and...

In a long straight solenoid with cross-sectional radius a and number of turns per unit length n a current varies with a constant velocity i A/s. Find the magnitude of the eddy current field strength...

Problem 3: A very long solenoid with radius R and n turns per unit length carries a time-dependent current i(t) = at' in the direction where a is a constant. Find the electric field (magnitude and...

Suppose you have a very long solenoid of radius R with n turns per unit length positioned symmetrically about the hat ( z ) axis. Let the current in this solenoid be changing sinusoidally with time,...

An infinitely long current - carrying wire with steady current I is wrapped around an infinitely long solenoid of radius R , making n turns per unit length. Find the emf generated through a sphere of...

Question 1 ( 2 0 points ) Listen An infinitely long current - carrying wire with steady current I is wrapped around an infinitely long solenoid of radius R , making n turns per unit length. Find the...

Figure 1: Question 1 1. A square loop of wire (side length a) is rotating in the counter-clockwise direction (when viewed from above) at a constant angular velocity @ in a uniform magnetic field B =...

Matthew made the following deposits: Present - 50K, After 9 months - 60K, After 1 years the present - 30K, After 2.5 years the present - 80K and After 4 years the present - 90K. Ten years from now,...

Consider the inverting operational amplifier in Figure AP2.9. Find the transfer function V0(s)/V1(s), Show that the transfer function can be expressed as where the gains KP, KI, and KD are functions...

SWD International has a market capitalization of $ 4 0 billion, no debt, and $ 1 0 billion in cash. If SWD International's estimated equity beta is 1 . 5 , then the beta of SWD International's...

Nami Yee is a contractor specializing in custom-built jacuzzis. On May 1, 2012, her ledger contains the following data.Raw Materials Inventory ..... $30,000Work in Process Inventory ......

A Ka x ray emitted from a sample has an energy of 7.46keV. Of which element is the sample made?

You are a pricing analyst for QuantCrunch Corporation, a company that recently spent $10,000 to develop a statistical software package. To date, you only have one client. A recent internal study...

The Chang Company is considering the purchase of a new machine to replace an obsolete one. The machine being used for the operation has a book value and a market value of zero. However, the machine...

Nevada's Manufacturing paid cash to purchase the assets of an existing company. Among the assets purchased were the following items. Patent with 5 remaining years of legal life ...... $32,000...

Which of the following is not correct? (a) Diffusion of gases occurs more rapidly at higher temperatures. (b) Effusion of H 2 is faster than effusion of He (assume similar conditions and a rate...

L Section 2: Answer ALL questions (This section evaluates CLO2: Cognitive 6) AJV is a year-old experience service business that is in a bad shape. Complaints are looming, customers are not coming...

q30. Which of the following is an example of someone who would be part of a person's secondary membership group? a. a schoolmate b. a neighbour C. parents of a child's friend d. fellow member of a...

(1 point) A random sample of 10 observations was drawn from a large normally distributed population. The data is below. 20 25 24 20 22 22 26 21 18 25 Test to determine if we can infer at the 4%...