You know that Wires 1 and 2 are a distance, d = 0.81 m, apart and that they carry the same current, I = 18.7 A, in opposite directions. You also know that Wires 2 and 3 are a distance, x = 2.43 m, apart. What you don't know, but really need to find out, is ... "How much current flows through Wire 3 -- and which way?" You would just measure the current, if your ammeter wasn't broken. Then you remembered the magnetometer that the Tooth Fairy left under your pillow last year, and realized that you could deduce the current in Wire 3 from the measured magnetic field strength! (b) Calculate the magnetic force per unit length that acts on the new wire. FB on 3 L N/m = (c) Will Wire #3 be attracted or repelled by the other two? O attract out (a) Using the magnetometer, you determined that the magnetic field midway between Wires 2 and 3 was 2.9 μT, and that it pointed straight upwards. What then is the size and direction of the current flowing through wire 3? 13 = A and it flows --Select--- repel I right down wire 1 wire 2 wire 3
You know that Wires 1 and 2 are a distance, d = 0.81 m, apart and that they carry the same current, I = 18.7 A, in opposite directions. You also know that Wires 2 and 3 are a distance, x = 2.43 m, apart. What you don't know, but really need to find out, is ... "How much current flows through Wire 3 -- and which way?" You would just measure the current, if your ammeter wasn't broken. Then you remembered the magnetometer that the Tooth Fairy left under your pillow last year, and realized that you could deduce the current in Wire 3 from the measured magnetic field strength! (b) Calculate the magnetic force per unit length that acts on the new wire. FB on 3 L N/m = (c) Will Wire #3 be attracted or repelled by the other two? O attract out (a) Using the magnetometer, you determined that the magnetic field midway between Wires 2 and 3 was 2.9 μT, and that it pointed straight upwards. What then is the size and direction of the current flowing through wire 3? 13 = A and it flows --Select--- repel I right down wire 1 wire 2 wire 3
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Step 1: Given information
VIEWStep 2: Calculate the magnetic field components of wires 1 and 2 at the point midway between wires 2 and 3
VIEWStep 3: Determining directions of magnetic field components of wires 1 and 2 and the net magnetic field
VIEWStep 4: Determining current in wire 3
VIEWStep 5: Calculating magnetic force on wire 3
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