The unit of magnetic flux is named for Wilhelm Weber. The practical-size unit of

Question

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. (Andre Ampere suggested electrical signaling in 1821; Samuel Morse built a telegraph line between Baltimore and Washington in 1844.) Suppose that Weber and Gauss's transmission line was as diagrammed in Figure P30.20. Two long, parallel wires, each having a mass per unit length of 44.0 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 between the supporting strings of 16.0°.

(a) Are the currents in the same or in opposite directions?

oppositesame     

(b) Find the magnitude of the current.
A

Explanation / Answer

part a ) because the wire repel , the currents are in opposite direction .

part b ) Tsintheta/2 / T cos theta/2 = Fb/L /Fg/L

Fb/L = IBsin 90 = uo*I^2/2pia

Fg/L = lambda*g

tan(theta/2) = uo*I^2 /(2pi * (2*l*sin(theta/2) *lambda*g)

I^2 = 4pi*l*lambda*g/uo * (tan 8 ) sin(8)

here lambda= 44 x 10^-3

l = 0.060 m

I = 71.14 A

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