mutual induction of pair of two single turn circular loop of wire is M = μ o π r 2 2 R .

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Taking a Hike A hiker begins a trip by first walking 21.0 km southeast from her car. She stops and sets up her tent for the night. On the second day, she walks 46.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger's tower. y (km) Can N W-DE 45.0° 60.0° Tent Tower B x (km) ☹ (a) Determine the components of the hiker's displacement for each day. SOLUTION Conceptualize We conceptualize the problem by drawing a sketch as in the figure. If we denote the displacement vectors on the first and second days by A and B, respectively, and use the ---Select-- as the origin of coordinates, we obtain the vectors shown in the figure. The sketch allows us to estimate the resultant vector as shown. Categorize Drawing the resultant R, we can now categorize this problem as one we've solved before: --Select-- of two vectors. You should now have a hint of the power of categorization in that many new problems are very similar to problems we have already solved if we are…

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Chapter 31, Problem 28P

(a)

To determine

To show: mutual induction of pair of two single turn circular loop of wire is M=μoπr22R .

(b)

To determine

The value of mutual inductance M .

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Taking a Hike A hiker begins a trip by first walking 21.0 km southeast from her car. She stops and sets up her tent for the night. On the second day, she walks 46.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger's tower. y (km) Can N W-DE 45.0° 60.0° Tent Tower B x (km) ☹ (a) Determine the components of the hiker's displacement for each day. SOLUTION Conceptualize We conceptualize the problem by drawing a sketch as in the figure. If we denote the displacement vectors on the first and second days by A and B, respectively, and use the ---Select-- as the origin of coordinates, we obtain the vectors shown in the figure. The sketch allows us to estimate the resultant vector as shown. Categorize Drawing the resultant R, we can now categorize this problem as one we've solved before: --Select-- of two vectors. You should now have a hint of the power of categorization in that many new problems are very similar to problems we have already solved if we are…

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