230Chapt. 30Currents Causing Magnetic FieldsEQUILATERAL TRIANGLEof sidea. The angles at the corners of the triangle are all60◦, of course.HINT:Draw a diagram.i) Which way must the net force on any one of the wires point?HINT:Exploit symmetry.ii) What is the magnitude of the force per unit lengthfon any one of the wires?a) (i) Away from the triangle center. (ii)f=μ0I22πa×√3 .b) (i) Away from the triangle center. (ii)f=μ0I22πa×2 .c) (i) To the triangle center. (ii)f=μ0I22πa×√3 .d) (i) To the triangle center. (ii)f=μ0I22πa×3√2.e) (i) To the triangle center. (ii)f=μ0I22πa.Full-Answer Problems030 qfull 00100 3 3 0 tough math: finite straight wire magnetic field1. A thin, straight wire of lengthLcarries currentI. The current comes out of nowhere and goesinto nowhere which is really unrealistic.a) Draw a diagram of the system. Describe the magnetic field lines everywhere.b) Find the expression for the magnetic field at a point a distanceRaway from theCENTERof the wire along a line perpendicular to the wire.
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