The unit of magnetic flux is named for Wilhelm Weber. The practical-size unit of magnetic field is named for Johann Karl Friedrich Gauss. Both were scientists at Gottingen, Germany. Along with their individual accomplishments, together they built a telegraph in 1833. It consisted of a battery and switch, at one end of a transmission line 3 km long, operating an electromagnet at the other end. (André Ampérè suggested electrical signaling in 1821; Samuel Morse built a telegraph line between Baltimore and Washington in 1844.) Suppose that Weber and Gausss transmission line was as diagrammed in Fig. 1. Two long, parallel wires, each having a mass per unit length of 40.0 g/m, are supported in a horizontal plane by strings 6.00 cm long. When both wires carry the same current I, the wires repel each other so that the angle 0 between the supporting strings is 16.0°. (i) Are the currents in the same direction or in opposite directions? (i) Find the magnitude of the current.

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The unit of magnetic flux is named for Wilhelm Weber. The practical-size unit of magnetic
field is named for Johann Karl Friedrich Gauss. Both were scientists at Gottingen, Germany. Along
with their individual accomplishments, together they built a telegraph in 1833. It consisted of a
battery and switch, at one end of a transmission line 3 km long, operating an electromagnet at the
other end. (André Ampérè suggested electrical signaling in 1821; Samuel Morse built a telegraph
line between Baltimore and Washington in 1844.) Suppose that Weber and Gausss transmission
line was as diagrammed in Fig. 1. Two long, parallel wires, each having a mass per unit length of
40.0 g/m, are supported in a horizontal plane by strings 6.00 cm long. When both wires carry the
same current I, the wires repel each other so that the angle 0 between the supporting strings is
16.0°. (i) Are the currents in the same direction or in opposite directions? (ii) Find the magnitude
of the current.
Transcribed Image Text:The unit of magnetic flux is named for Wilhelm Weber. The practical-size unit of magnetic field is named for Johann Karl Friedrich Gauss. Both were scientists at Gottingen, Germany. Along with their individual accomplishments, together they built a telegraph in 1833. It consisted of a battery and switch, at one end of a transmission line 3 km long, operating an electromagnet at the other end. (André Ampérè suggested electrical signaling in 1821; Samuel Morse built a telegraph line between Baltimore and Washington in 1844.) Suppose that Weber and Gausss transmission line was as diagrammed in Fig. 1. Two long, parallel wires, each having a mass per unit length of 40.0 g/m, are supported in a horizontal plane by strings 6.00 cm long. When both wires carry the same current I, the wires repel each other so that the angle 0 between the supporting strings is 16.0°. (i) Are the currents in the same direction or in opposite directions? (ii) Find the magnitude of the current.
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