Explanation Given data: Refer to the Figure P24.58 in the textbook. Current is 10 A. Equilibrium angle is 10 ° . Linear mass density is 50 g m . Formula used: Consider the expression for weight. w = m g (1) Here, m is the mass. g is the acceleration due to gravity which has a constant value of 9.8 m s 2 . Consider the expression for mass. m = μ L (2) Here, μ is the linear mass density. L is the length of wire. Consider the expression for force. F = I L B sin α (3) Here, I is the current. B is the magnetic field. α is the angle between wire and the magnetic field. Calculation: Modify the Figure P24.58 such that Figure 1 shows the side view of the wire and by using Fleming’s left hand rule the magnetic field direction is downward as shown in Figure 1. From the Figure 1, tension is acting at an angle of θ so on resolving the tension vertical and horizontal component. Tension in vertical component is T cos θ . Tension in horizontal component is T sin θ . As the wire is in equilibrium that is the net force acting in x and y direction is zero. From Figure 1, the net force acting in x direction is, T sin θ − F B = 0 (4) Here, F B is the force due to magnetic field. From Figure 1, the net force acting in y direction is, T cos θ − w = 0 (5) Substitute equation (3) in equation (4), T sin θ − I L B sin α = 0 T sin θ = I L B sin α (6) Substitute equation (1) in equation (5), T cos θ − m g = 0 (7) Substitute equation (2) in equation (7), T cos θ

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ISBN: 9780134899978

Author: Knight

Publisher: PEARSON

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Chapter 24, Problem 58GP

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The strength of the magnetic field B→.

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Chapter 24, Problem 57GP

Chapter 24, Problem 59MSPP

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Chapter 24 Solutions

COLLEGE PHYSICS, VOL. 1-W/ACCESS

Ch. 24 - In Figure Q24.1, suppose the magnet on the right...Ch. 24 - Prob. 2CQ Ch. 24 - When you are in the southern hemisphere, does a...Ch. 24 - If you were standing directly at the earths north...Ch. 24 - If you took a sample of magnetotactic bacteria...Ch. 24 - Green turtles use the earths magnetic field to...Ch. 24 - Prob. 7CQ Ch. 24 - Prob. 8CQ Ch. 24 - Prob. 9CQ Ch. 24 - As shown in Figure Q24.10, a uniform magnetic...

Ch. 24 - Prob. 11CQ Ch. 24 - An electron is moving in a circular orbit in a...Ch. 24 - Prob. 13CQ Ch. 24 - One long solenoid is placed inside another...Ch. 24 - Prob. 15CQ Ch. 24 - Prob. 16CQ Ch. 24 - Prob. 17CQ Ch. 24 - Prob. 18CQ Ch. 24 - An electron is moving near a long,...Ch. 24 - Two positive charges are moving in a uniform...Ch. 24 - Prob. 21CQ Ch. 24 - An electron and a proton are moving in circular...Ch. 24 - A proton moves in a region of uniform magnetic...Ch. 24 - Prob. 24CQ Ch. 24 - Prob. 25CQ Ch. 24 - A long wire and a square loop lie in the plane of...Ch. 24 - A solenoid carries a current that produces a field...Ch. 24 - Prob. 28CQ Ch. 24 - Prob. 29MCQ Ch. 24 - If a compass is placed above a current-carrying...Ch. 24 - Prob. 31MCQ Ch. 24 - Figure Q24.32 shows four particles moving to the...Ch. 24 - Prob. 33MCQ Ch. 24 - If all of the particles shown in Figure Q24.33 are...Ch. 24 - If two compasses are brought near enough to each...Ch. 24 - Table 24.1 notes that the magnetic field 10 cm...Ch. 24 - An investigator places a sample 1.0 cm from a wire...Ch. 24 - The magnetic field at the center of a...Ch. 24 - For a particular scientific experiment, it is...Ch. 24 - Prob. 5P Ch. 24 - Prob. 6P Ch. 24 - Prob. 7P Ch. 24 - Although the evidence is weak, there has been...Ch. 24 - Some consumer groups urge pregnant women not to...Ch. 24 - A long wire carrying a 5.0 A current perpendicular...Ch. 24 - Prob. 11P Ch. 24 - Prob. 12P Ch. 24 - A solenoid used to produce magnetic fields for...Ch. 24 - Two concentric current loops lie in the same...Ch. 24 - The magnetic field of the brain has been measured...Ch. 24 - Prob. 16P Ch. 24 - What is the magnetic field at the center of the...Ch. 24 - Experimental tests have shown that hammerhead...Ch. 24 - Prob. 19P Ch. 24 - Prob. 20P Ch. 24 - In the Bohr model of the hydrogen atom, the...Ch. 24 - A proton moves with a speed of 1.0 107 m/s in the...Ch. 24 - An electron moves with a speed of 1.0 107 m/s in...Ch. 24 - An electromagnetic flowmeter applies a magnetic...Ch. 24 - The aurora is caused when electrons and protons,...Ch. 24 - Problem 24.25 describes two particles that orbit...Ch. 24 - Prob. 27P Ch. 24 - Prob. 28P Ch. 24 - The microwaves in a microwave oven are produced in...Ch. 24 - A cyclotron is used to produce a beam of...Ch. 24 - A medical cyclotron used in the production of...Ch. 24 - Prob. 32P Ch. 24 - Prob. 33P Ch. 24 - Prob. 34P Ch. 24 - Prob. 35P Ch. 24 - A uniform 2.5 T magnetic field points to the...Ch. 24 - Prob. 37P Ch. 24 - A current loop in a motor has an area of 0.85 cm2....Ch. 24 - A square current loop 5.0 cm on each side carries...Ch. 24 - People have proposed driving motors with the...Ch. 24 - Prob. 41P Ch. 24 - Prob. 42P Ch. 24 - A solenoid is near a piece of iron, as shown in...Ch. 24 - The right edge of the circuit in Figure P24.44...Ch. 24 - Prob. 45GP Ch. 24 - An electron travels with speed 1.0 107 m/s...Ch. 24 - Prob. 47GP Ch. 24 - Prob. 48GP Ch. 24 - Irrigation channels that require regular flow...Ch. 24 - Typical blood velocities in the coronary arteries...Ch. 24 - Prob. 51GP Ch. 24 - Bats are capable of navigating using the earths...Ch. 24 - At the equator, the earths field is essentially...Ch. 24 - Prob. 55GP Ch. 24 - A 1.0-m-long, 1.0-mm-diaraeter copper wire carries...Ch. 24 - An insulated copper wire is wrapped around an iron...Ch. 24 - Prob. 58GP Ch. 24 - Assuming the particle in Figure P24.59 is...Ch. 24 - How does the kinetic energy of the particle in...Ch. 24 - Prob. 61MSPP Ch. 24 - Next, a particle with the same mass and velocity...Ch. 24 - What is the direction of the magnetic force on a...Ch. 24 - What is the magnitude of the force on this ion? A....Ch. 24 - What magnitude electric field is necessary to...Ch. 24 - The electric field produces a potential...Ch. 24 - In the spectrometer shown in Figure P24.67, do the...Ch. 24 - The moving ions can be thought of as a current...Ch. 24 - Why is it important that the ions have a known...Ch. 24 - A mass spectrometer similar to the one in Figure...

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The strength of the magnetic field B → .

The strength of the magnetic field B→.

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Chapter 24 Solutions