Mastering Physics with Pearson eText -- Standalone Access Card -- for Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780133857955
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 26, Problem 69P
To determine
To derive: The equation
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Cryomagnetics, Inc., advertises a highfield, superconducting solenoid that produces a magnetic field of17 T with a current of 105 A. What is the number of turns per meterin this solenoid?
By how much is the approximation B = μ0 nI in error at the center of a solenoid that is 15.0 cm long, has a diameter of 4.0 cm, is wrapped with n turns per meter, and carries a current I?
Show that the magnitude of drift velocity V of charge carriers in a conductor of thickness d, placed in a magnetic field B is by the expression: V=E/Bd where E is the Hall voltage.
Hence or otherwise obtain an expression for the density of charge carriers as n=I/eVA where symbols have their usual meanings.
Chapter 26 Solutions
Mastering Physics with Pearson eText -- Standalone Access Card -- for Essential University Physics (3rd Edition)
Ch. 26.2 - The figure shows a proton in a magnetic field. (1)...Ch. 26.3 - A proton of the same energy as the electron in...Ch. 26.4 - Prob. 26.4GICh. 26.5 - Prob. 26.5GICh. 26.6 - Prob. 26.6GICh. 26.7 - Which of the following best describes the...Ch. 26.8 - The figure shows three parallel wires carrying...Ch. 26 - A charged particle moves through a region...Ch. 26 - An electron moving with velocity v through a...Ch. 26 - A magnetic field points out of this page. Will a...
Ch. 26 - Do particles in a cyclotron gain energy from the...Ch. 26 - An electron and a proton moving at the same speed...Ch. 26 - Two identical particles carrying equal charge are...Ch. 26 - In what two senses does a current loop behave like...Ch. 26 - Prob. 8FTDCh. 26 - Do currents in the same direction attract or...Ch. 26 - If a current is passed through an unstretched...Ch. 26 - Figure 26.38 shows some magnetic field lines...Ch. 26 - Prob. 12FTDCh. 26 - Prob. 13FTDCh. 26 - Prob. 14FTDCh. 26 - Find (a) the minimum magnetic field needed to...Ch. 26 - An electron moving at right angles to a 0.10-T...Ch. 26 - Find the magnitude of the magnetic force on a...Ch. 26 - The magnitude of Earths magnetic field is about...Ch. 26 - A velocity selector uses a 60-mT magnetic field...Ch. 26 - Prob. 20ECh. 26 - How long does it take an electron to complete a...Ch. 26 - Radio astronomers detect electromagnetic radiation...Ch. 26 - Prob. 23ECh. 26 - Two protons, moving in a plane perpendicular to a...Ch. 26 - Find the magnitude of the force on a 65.5-cm-long...Ch. 26 - A wire carrying 15 A makes a 25 angle with a...Ch. 26 - Youre on a team performing a high-magnetic-field...Ch. 26 - A wire with mass per unit length 75 g/m runs...Ch. 26 - A wire carries 6.71 A. You form it into a...Ch. 26 - A single-turn wire loop is 2.0 cm in diameter and...Ch. 26 - A 2.2-m-long wire carrying 3.5 A is wound into a...Ch. 26 - Whats the current in a long wire if the magnetic...Ch. 26 - In standard household wiring, parallel wires about...Ch. 26 - Earths magnetic dipole moment is 8.01022 Am2. Find...Ch. 26 - A single-turn square wire loop 18.0 cm on a side...Ch. 26 - An electric motor contains a 250-turn circular...Ch. 26 - The line integral of the magnetic field on a...Ch. 26 - The magnetic field shown in Fig. 26.39 has uniform...Ch. 26 - Number 12 gauge wire, commonly used in household...Ch. 26 - Prob. 40ECh. 26 - A superconducting solenoid has 3300 turns per...Ch. 26 - A particle carrying a 50-C charge moves with...Ch. 26 - Jupiter has the strongest magnetic field in our...Ch. 26 - A proton moving with velocity v1 = 3.6 104 m/s...Ch. 26 - A simplified model of Earths magnetic field has it...Ch. 26 - A beam of electrons moving in the x-direction at...Ch. 26 - Show that the orbital radius of a charged particle...Ch. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Prob. 50PCh. 26 - Youre designing a prosthetic ankle that includes a...Ch. 26 - A 20-cm-long conducting rod with mass 18 g is...Ch. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - A simple electric motor consists of a 220-turn...Ch. 26 - Nuclear magnetic resonance (NMR) is a technique...Ch. 26 - A wire carrying 1.5 A passes through a 48-mT...Ch. 26 - Your company is developing a device incorporating...Ch. 26 - A single piece of wire carrying current I is bent...Ch. 26 - You and a friend get lost while hiking, so your...Ch. 26 - Part of a long wire carrying current I is bent...Ch. 26 - Prob. 62PCh. 26 - A long, straight wire carries a 25-A current. A...Ch. 26 - A long conducting rod of radius R carries a...Ch. 26 - A long, hollow conducting pipe of radius R carries...Ch. 26 - A solenoid used in a plasma physics experiment is...Ch. 26 - A solenoid used in a plasma physics experiment is...Ch. 26 - You have 10 m of 0.50-mm-diameter copper wire and...Ch. 26 - Prob. 69PCh. 26 - The largest lightning strikes have peak currents...Ch. 26 - A coaxial cable (see Fig. 26.47) consists of a...Ch. 26 - Prob. 72PCh. 26 - Prob. 73PCh. 26 - A circular wire loop of radius 15 cm and...Ch. 26 - Prob. 75PCh. 26 - A long, hollow conducting pipe of radius R and...Ch. 26 - A solid conducting wire of radius R runs parallel...Ch. 26 - A disk of radius a carries uniform surface charge...Ch. 26 - Youre developing a system to orient an orbiting...Ch. 26 - Prob. 80PCh. 26 - Prob. 81PCh. 26 - Find an expression for the magnetic field at the...Ch. 26 - Prob. 83PCh. 26 - A magnetic dipole = is on the axis of a circular...Ch. 26 - Prob. 85PCh. 26 - Derive Equation 26.20 by considering the current...Ch. 26 - Your roommate is sold on magnet therapy, a sham...Ch. 26 - A toroid is a solenoid-like coil bent into a...Ch. 26 - A toroid is a solenoid-like coil bent into a...Ch. 26 - A toroid is a solenoid-like coil bent into a...Ch. 26 - A toroid is a solenoid-like coil bent into a...
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- Design a current loop that, when rotated in a uniform magnetic field of strength 0.10 T, will produce an emf =0 sin t. where 0=110V and 0=110V .arrow_forwardBy how much is the approximation B=0nI in error at the center of a solenoid that is 15.0 cm long, has a diameter of 4.0 cm, is wrapped with n turns per meter, and carries a current I?arrow_forwardA solenoid with 4 x 107turns/m has an iron core placed in it whose magnetic susceptibility is 4.0 x 103. (a) If a cent 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?arrow_forward
- A long solenoid of radius a with n turns per unit length is carrying a time-dependent current I(t)=I0sin(t) , where I0and are constants. The solenoid is surrounded by a wire of resistance R that has two circular- loops of radius b with b>a (see the following figure). Find the magnitude and direction of current induced in the outerarrow_forwardLet's consider a perfect solenoid: radius R and infinite length. A current I flows through it. Assuming that B is zero outside the solenoid of the solenoid (true if L tends to infinity...!) use Ampère's law to calculate to calculate B inside the solenoid.arrow_forwardShow with appropriate diagram that the magnitude of drift velocity V of charge carriers in a conductor of thickness d, placed in a magnetic field B is by the expression: V=E/Bd where E is the Hall voltage. Hence or otherwise obtain an expression for the density of charge carriers as n=I/eVA where symbols have their usual meanings.arrow_forward
- A wire of nonmagnetic material, with radius R, carries current uniformly distributed over its cross section. The total current carried by the wire is I. Show that the magnetic energy per unit length inside the wire is μ0I2/16π.arrow_forwardDetermine the current I flowing through a solenoid, if the magnetic flux inside its core is found to be 1.30 10-4 Wb. The radius of the solenoid is 17.0 cm and the number of turns per meter is 235.__________________ Aarrow_forwardA typical MRI solenoid has a length of about 1 m and a diameter of about 1 m. A typical field inside such a solenoid is about 1 T. How many turns of wire must the solenoid have to produce this field if the largest current the wire can carry is 100 A?arrow_forward
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