Explanation Given data: Refer to the Figure P24.20 in the textbook. Radius of each coil is 1 m. Number of turns is 43. Earth’s magnetic field is 5.6 × 10 − 5 T . Angle between the magnetic field and the horizontal is 61 ° . Formula used: Consider the expression for the magnetic field in straight current carrying coil. B = μ 0 N I 2 R (1) Here, I is the current. R is the radius. N is the number of turns. μ 0 is the permeability of free space which has a constant value of 4 π × 10 − 7 T ⋅ m A . Calculation: The magnetic field on the coil 1 is vertical to the ground and magnetic field is acting in north direction so by using right hand rule thumb rule, the current in the coil 1 is counter clockwise. The magnetic field on the coil 2 is parallel to the ground and magnetic field is acting in upward direction so by using right hand rule thumb rule, the current in the coil 2 is counter clockwise. The resultant magnetic field produces by both the coils exactly cancel the earth’s field that is, B earth = B net (2) The resultant magnitude of the net magnetic field is, B net = B 1 2 + B 2 2 + 2 B 1 B 2 cos θ (3) Here, B 1 is the magnetic field of coil 1, B 2 is the magnetic field of coil 2, θ is the angle between the magnetic field and the horizontal. Substitute equation (3) in equation (2), B earth = B 1 2 + B 2 2 + 2 B 1 B 2 cos θ (4) As the radius, number of turns and current in the two coils are equal, so magnetic field of both the coils is equal that is, B 1 = B 2 (5) Substitute equation (5) in equation (4), B earth = B 1 2 + B 1 2 + 2 B 1 B 1 cos θ = 2 B 1 2 + 2 B 1 2 cos θ B earth = 2 B 1 1 + cos θ (6) Substitute equation (1) in equation (6), B earth = 2 ( μ 0 N I 2 R ) 1 + cos θ Substitute 5

College Physics: A Strategic Approach (4th Edition)

4th Edition

ISBN: 9780134704180

Author: Knight

Publisher: PEARSON

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Chapter 24, Problem 20P

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The current in the coil 1 and 2.

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Chapter 24 Solutions

College Physics: A Strategic Approach (4th Edition)

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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