Concept explainers
(a)
The magnitude of the magnetic field created by
(a)
Answer to Problem 45P
The magnitude of the magnetic field created by
Explanation of Solution
Write the expression of the magnetic field at the origin due to the current
Here,
Conclusion:
Substitute
The magnitude of the magnetic field created by
(b)
The force per unit length
(b)
Answer to Problem 45P
The force per unit length exerted by
Explanation of Solution
Write the expression of the force exerted per unit length by
Here,
Conclusion:
Substitute
The force per unit length exerted by
(c)
The magnitude of the magnetic field created by
(c)
Answer to Problem 45P
The magnitude of the magnetic field created by
Explanation of Solution
Write the expression of the magnetic field at the origin due to the current
Here,
Conclusion:
Substitute
The magnitude of the magnetic field created by
(d)
The force per unit length
(d)
Answer to Problem 45P
The force per unit length exerted by
Explanation of Solution
Write the expression of the force exerted per unit length by
Here,
Conclusion:
Substitute
The force per unit length exerted by
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Chapter 22 Solutions
Principles of Physics: A Calculus-Based Text
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- One long wire carries current 30.0 A to the left along the x axis. A second long wire carries current 50.0 A to the right along the line (y = 0.280 m, z = 0). (a) Where in the plane of the two wires is the total magnetic field equal to zero? (b) A particle with a charge of 2.00 C is moving with a velocity of 150iMm/s along the line (y = 0.100 m, z = 0). Calculate the vector magnetic force acting on the particle. (c) What If? A uniform electric field is applied to allow this particle to pass through this region undetected. Calculate the required vector electric field.arrow_forwardA proton travels with a speed of 3.00 106 m/s at an angle of 37.0 with the direction of a magnetic field of 0.300 T in the +y direction. What are (a) the magnitude of the magnetic force on the proton and (b) its acceleration?arrow_forwardA long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed uniformly over its cross-section. Plot the magnetic field as a function of the radial distance r from the center of the conductor.arrow_forward
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