Explanation Given Info: The mass ( m ) of the uniform rod is 0.0840 kg . The length ( L ) of the uniform rod is 18.0 cm . The uniform magnetic field ( B ) is 0.120 T . The direction of the magnetic field is into the page. The rod is held at the angle ( θ ) of 53.0 ° . The current ( I ) through the rod is 12.0 A . The rod is in rotational equilibrium, therefore the torque due to gravity and the torque to magnetic field must be balanced. Formula to calculate the torque due to the gravitational force is, τ g = 1 2 m g L cos ( θ ) (I) m is the mass of the uniform rod, g is the acceleration due to gravity, L is the length of the uniform rod, and θ is the angle at which the rod is inclined above the horizontal surface. Formula to calculate the torque due to the magnetic field is, τ m = 1 2 I B L 2 (II) I is the current through the uniform rod, and B is the uniform magnetic field in which the rod is place. Formula to calculate the tension of the string is, τ T = T L sin ( θ ) (III) T is the tension of the string. For balancing condition, τ T = τ g + τ m (IV) Substitute equation (I), equation (II), and equation (III) in equation (IV). T L sin ( θ ) = 1 2 m g L cos ( θ ) + 1 2 I B L 2 T L sin ( θ ) = 1 2 L ( m g cos ( θ ) + I B L ) T sin ( θ ) = 1 2 ( m g cos ( θ ) + I B L ) Rearranging the equation, T = ( m g cos ( θ ) + I B L ) 2 sin ( θ ) Substitute 0.0840 kg for m , 9

13th Edition

ISBN: 9781269542661

Author: YOUNG

Publisher: PEARSON C

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Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

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Chapter 27, Problem 27.74P

To determine

The tension in the string.

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Chapter 27, Problem 27.73P

Chapter 27, Problem 27.75P

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Chapter 27 Solutions

MASTERINGPHYSICS W/ETEXT ACCESS CODE 6

Ch. 27.1 - Suppose you cut off the part of the compass needle...Ch. 27.2 - Prob. 27.2TYU Ch. 27.3 - Imagine moving along the axis of the...Ch. 27.4 - Prob. 27.4TYU Ch. 27.5 - In Example 27.6 He+ ions with charge +e move at...Ch. 27.6 - The accompanying figure shows a top view of two...Ch. 27.7 - Figure 27.13c depicts the magnetic field lines due...Ch. 27.8 - Prob. 27.8TYU Ch. 27.9 - A copper wire of square cross section is oriented...Ch. 27 - Can a charged particle move through a magnetic...

Ch. 27 - Prob. 27.2DQ Ch. 27 - Section 27.2 describes a procedure for finding the...Ch. 27 - The magnetic force on a moving charged particle is...Ch. 27 - A charged particle is fired into a cubical region...Ch. 27 - If the magnetic force does no work on a charged...Ch. 27 - A charged particle moves through a region of space...Ch. 27 - How might a loop of wire carrying a current be...Ch. 27 - How could the direction of a magnetic field be...Ch. 27 - A loose, floppy loop of wire is carrying current...Ch. 27 - Prob. 27.11DQ Ch. 27 - Each of the lettered points at the corners of the...Ch. 27 - A student claims that if lightning strikes a metal...Ch. 27 - Prob. 27.14DQ Ch. 27 - The magnetic force acting on a charged particle...Ch. 27 - When the polarity of the voltage applied to a dc...Ch. 27 - Prob. 27.17DQ Ch. 27 - Prob. 27.18DQ Ch. 27 - A particle with a charge of 1.24 108C is moving...Ch. 27 - A particle of mass 0.195 g carries a charge of...Ch. 27 - In a 1.25-T magnetic field directed vertically...Ch. 27 - A particle with mass 1.81 103 kg and a charge of...Ch. 27 - An electron experiences a magnetic force of...Ch. 27 - An electron moves at 1.40 106m/s through a region...Ch. 27 - CP A particle with charge 7.80 C is moving with...Ch. 27 - CP A particle with charge 5.60 nC is moving in a...Ch. 27 - A group of particles is traveling in a magnetic...Ch. 27 - A flat, square surface with side length 3.40 cm is...Ch. 27 - A circular area with a radius of 6.50 cm lies in...Ch. 27 - A horizontal rectangular surface has dimensions...Ch. 27 - An open plastic soda bottle with an opening...Ch. 27 - The magnetic field B in a certain region is 0.128...Ch. 27 - An election at point A in Fig. E27.15 has a speed...Ch. 27 - Repeat Exercise 27.15 for the case in which the...Ch. 27 - CP A 150-g ball containing 4.00 108 excess...Ch. 27 - An alpha particle (a He nucleus, containing two...Ch. 27 - In an experiment with cosmic rays, a vertical beam...Ch. 27 - BIO Cyclotrons are widely used in nuclear medicine...Ch. 27 - Prob. 27.21E Ch. 27 - In a cyclotron, the orbital radius of protons with...Ch. 27 - An electron in the beam of a cathode-ray tube is...Ch. 27 - A beam of protons traveling at 1.20 km/s enters a...Ch. 27 - A proton (q = 1.60 1019 C, m = 1.67 1027 kg)...Ch. 27 - A singly charged ion of 7Li (an isotope of...Ch. 27 - Crossed E and B Fields. A particle with initial...Ch. 27 - (a) What is the speed of a beam of electrons when...Ch. 27 - A 150-V battery is connected across two parallel...Ch. 27 - A singly ionized (one electron removed) 40K atom...Ch. 27 - Singly ionized (one electron removed) atoms are...Ch. 27 - In the Bainbridge mass spectrometer (see Fig....Ch. 27 - Prob. 27.33E Ch. 27 - A straight, 2.5-m wire carries a typical household...Ch. 27 - A long wire carrying 4.50 A of current makes two...Ch. 27 - An electromagnet produces a magnetic field of...Ch. 27 - A thin, 50.0-cm-long metal bar with mass 750 g...Ch. 27 - A straight, vertical wire carries a current of...Ch. 27 - Prob. 27.39E Ch. 27 - The plane of a 5.0 cm X 8.0 cm rectangular loop of...Ch. 27 - The 20.0 cm 35.0 cm rectangular circuit shown in...Ch. 27 - A rectangular coil of wire, 22.0 cm by 35.0 cm and...Ch. 27 - CP A uniform rectangular coil of total mass 212 g...Ch. 27 - Both circular coils A and B (Fig. E27.44) have...Ch. 27 - Prob. 27.45E Ch. 27 - Prob. 27.46E Ch. 27 - Prob. 27.47E Ch. 27 - A dc motor with its rotor and field coils...Ch. 27 - Figure E27.49 shows a portion of a silver ribbon...Ch. 27 - Prob. 27.50E Ch. 27 - When a particle of charge q 0 moves with a...Ch. 27 - A particle with charge 7.26 108C is moving in a...Ch. 27 - Prob. 27.53P Ch. 27 - Prob. 27.54P Ch. 27 - Prob. 27.55P Ch. 27 - The magnetic poles of a small cyclotron produce a...Ch. 27 - A particle with negative charge q and mass m =...Ch. 27 - A particle of charge q 0 is moving at speed in...Ch. 27 - Suppose the electric field between the plates in...Ch. 27 - Mass Spectrograph. A mass spectrograph is used to...Ch. 27 - A straight piece of conducting wire with mass M...Ch. 27 - CP A 2.60-N metal bar, 0.850 m long and having a...Ch. 27 - BIO Determining Diet. One method for determining...Ch. 27 - CP A plastic circular loop has radius R, and a...Ch. 27 - Prob. 27.65P Ch. 27 - A wire 25.0 cm long lies along the z-axis and...Ch. 27 - A long wire carrying 6.50 A of current makes two...Ch. 27 - The rectangular loop shown in Fig. P27.68 is...Ch. 27 - Prob. 27.69P Ch. 27 - Prob. 27.70P Ch. 27 - The loop of wire shown in Fig. P27.71 forms a...Ch. 27 - CP A uniform bar has mass 0.0120 kg and is 30.0 cm...Ch. 27 - CALC A Voice Coil. It was shown in Section 27.7...Ch. 27 - Prob. 27.74P Ch. 27 - CALC Force on a Current Loop in a Nonuniform...Ch. 27 - Quark Model of the Neutron. The neutron is a...Ch. 27 - A circular loop of wire with area A lies in the...Ch. 27 - DATA You are using a type of mass spectrometer to...Ch. 27 - Prob. 27.79P Ch. 27 - DATA You are a technician testing the operation of...Ch. 27 - A particle with charge 2.15 C and mass 3.20 1011...Ch. 27 - Prob. 27.82CP Ch. 27 - If a proton is exposed to an external magnetic...Ch. 27 - BIO MAGNETIC FIELDS AND MRI. Magnetic resonance...Ch. 27 - The large magnetic fields used in MRI can produce...

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