A wire, of length L = 3.8 mm, on a circuit board carries a current of I = 2.36 μA in the j direction. A nearby circuit element generates a magnetic field in the vicinity of the wire of B = Bxi + Byj + Bzk, where Bx = 5.2 G, By = 5.8 G, and Bz = 5.6 G.   a) Calculate the magnitude of the magnetic field B, in gauss, in the vicinity of the wire due to the circuit element.  Part (b)  Calculate the i component of the magnetic force Fx, in newtons, exerted on the wire by the magnetic field due to the circuit element.  Part (c)  Calculate the j component of the magnetic force Fy, in newtons, exerted on the wire by the magnetic field due to the circuit element.

Physics for Scientists and Engineers
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Author:Raymond A. Serway, John W. Jewett
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Chapter29: Sources Of The Magnetic Field
Section: Chapter Questions
Problem 8P: One long wire carries current 30.0 A to the left along the x axis. A second long wire carries...
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 A wire, of length L = 3.8 mm, on a circuit board carries a current of I = 2.36 μA in the j direction. A nearby circuit element generates a magnetic field in the vicinity of the wire of B = Bxi + Byj + Bzk, where Bx = 5.2 G, By = 5.8 G, and Bz = 5.6 G.
 

a) Calculate the magnitude of the magnetic field B, in gauss, in the vicinity of the wire due to the circuit element. 

Part (b)  Calculate the i component of the magnetic force Fx, in newtons, exerted on the wire by the magnetic field due to the circuit element. 

Part (c)  Calculate the j component of the magnetic force Fy, in newtons, exerted on the wire by the magnetic field due to the circuit element. 

Part (d)  Calculate the k component of the magnetic force Fz, in newtons, exerted on the wire by the magnetic field due to the circuit element. 

Part (e)  Calculate the magnitude of the magnetic force F, in newtons, exerted on the wire by the magnetic field due to the circuit element

Part (f)  If you simply multiply the current, the length, and the magnetic field strength ILB, (in appropriate units), you will find that this results in a larger calculated force larger than the answer to part (e). Which of the following scenarios would result in the maximum force exerted on the current carrying wire? 

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