The unit of magnetic flux is named for Wilhelm Weber. A practical-size unit of magnetic field is named for Johann Karl Friedrich Gauss. Along with their individual accomplishments, Weber and Gauss built a telegraph in 1833 that consisted of a battery and switch, at one end of a transmission line 3 km long, operating an electromagnet at the other end. Suppose their transmission line was as diagrammed in the figure below. Two long, parallel wires, each having a mass per unit length of 49.5 g/m, are supported in a horizontal plane by strings l = 5.95 cm long. When both wires carry the same current I, the wires repel each other so that the angle between the supporting strings is 0 = 15.4°. (a) Are the currents in the same direction or in opposite directions? O the same direction O opposite directions (b) Find the magnitude of the current. A (c) If this transmission line were taken to Mars, would the current required to separate the wires by the same angle be larger or smaller than that required Earth? O larger O smaller Why?

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Chapter1: Units, Trigonometry. And Vectors
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The unit of magnetic flux is named for Wilhelm Weber. A practical-size unit of magnetic field is named for Johann Karl Friedrich Gauss. Along with their individual
accomplishments, Weber and Gauss built a telegraph in 1833 that consisted of a battery and switch, at one end of a transmission line 3 km long, operating an
electromagnet at the other end. Suppose their transmission line was as diagrammed in the figure below. Two long, parallel wires, each having a mass per unit
length of 49.5 g/m, are supported in a horizontal plane by strings e = 5.95 cm long. When both wires carry the same current I, the wires repel each other so that
the angle between the supporting strings is 0 = 15.4°.
(a) Are the currents in the same direction or in opposite directions?
O the same direction
O opposite directions
(b) Find the magnitude of the current.
A
(c) If this transmission line were taken to Mars, would the current required to separate the wires by the same angle be larger or smaller than that required
on the Earth?
O larger
O smaller
Why?
Transcribed Image Text:The unit of magnetic flux is named for Wilhelm Weber. A practical-size unit of magnetic field is named for Johann Karl Friedrich Gauss. Along with their individual accomplishments, Weber and Gauss built a telegraph in 1833 that consisted of a battery and switch, at one end of a transmission line 3 km long, operating an electromagnet at the other end. Suppose their transmission line was as diagrammed in the figure below. Two long, parallel wires, each having a mass per unit length of 49.5 g/m, are supported in a horizontal plane by strings e = 5.95 cm long. When both wires carry the same current I, the wires repel each other so that the angle between the supporting strings is 0 = 15.4°. (a) Are the currents in the same direction or in opposite directions? O the same direction O opposite directions (b) Find the magnitude of the current. A (c) If this transmission line were taken to Mars, would the current required to separate the wires by the same angle be larger or smaller than that required on the Earth? O larger O smaller Why?
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