20_InstSolManual_PDF_Part16 - 20-16 Chapter 20 m0 I S The...

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20.52. Set Up: The direction of is given by the right-hand rule in Section 20.7. Solve: (a) The magnetic fields of the two wires are in opposite directions at points between the wires, as shown in Figure 20.52a. Consider a point that is a distance x from wire 1 and hence from wire 2. gives and The net field is zero at a point between the wires, 10.0 cm from the wire carrying 25.0 A and 30.0 cm from the wire carrying 75.0 A. Figure 20.52 (b) The magnetic fields of the two wires are in opposite directions at points along the extension of the line connecting the wires and either to the right or to the left of both wires. But for the fields to cancel, they must have equal magni- tudes and this happens only at points closer to the wire carrying the smaller current. Therefore, consider a point P that is a distance x to the left of wire 1 and hence to the left of wire 2, as shown in Figure 20.52b. and The net field is zero at a point 20.0 cm from the wire carrying 25.0 A and 60.0 cm from the wire carrying 75.0 A.
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