Two long, straight wires that are suspended from aceiling. The mass per unit length of each wire is 0.071 kg/m. Each ofthe four strings suspending the wires has a length of 1.2 m. When thewires carry identical currents in opposite directions, the anglebetween the strings holding the two wires is 15°. What is the currentin each wire?

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1. The drawing shows two long, straight wires thataresuspended from the ceiling.

The mass per unit linglh of each wire is 0.050 kg/m. Eachofthe four strings suspending

the wires has a length of 1.2 m. When the wires canyidenticalcurrents in opposite

directions, the angle between the strings holding the twowiresis 15Â° What is the current

in each wire?

2. A piece of copper wire has a resistance per unitlength 6.0x l0 ^-3 Î© /m. The wire is wound into athin, flat coil of manyturns that has a radius of 0.15 m. Theends of the wire areconnected to a 12 V battery. Find themagnetic field strength at thecenter of the coil.

3. A conducting coil of 1800 turns is connected toagalvanometer, and the total

resistance of the circuit is 50 Î©. The area of eachtum is 5.2x 10 ^-4 m². The coil is

moved from a region where the magnetic field is zero intoaregion where it is nonzero,

the normal to the coil being kept parallel to themagneticfield. The amount of charge

that is induced to move around the circuit is measured tobe9.0 x l0^-3 C. Find the

magnitude of the magnetic field.

[Such a device can be used to measure the magneticfieldstrength in a region of space and is called afluxmeter.]

Two long, straight, parallel wires carry identical currents of 6.30 A in the positive x direction. The separation between the wires is 8.50 cm.

a. Is the force between the wires attractive or repulsive?

b. What is the magnitude of the force per unit length that each wire exerts on the other?

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The unit of magnetic flux is named for Wilhelm Weber. A practical-size unit of the 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 diagrammed in the figure below. Two long, parallel wires, each having a mass per unit length of 40.0 g/m, are supported in a horizontal plane by strings l = 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 is θ = 16.0^o. (a) Are the currents in the same direction or in opposite directions? (b) Find the magnitude of the current. (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? Why?

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