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Page 1: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current
Page 2: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current
Page 3: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current

Untitled-I

In[lOJ:= ParametricPlot[{t-Sin[t], 1-Cos[t]}, {t, 0, 10}, PlotRange-> {{0, 10}, {-2, 2}}];

2

1. 5

1 0.5

0.5

-1 -1. 5

-2

2 4 6 8 10

In[11J:= ParametricPlot[{t- .5Sin[t], .5 (1-Cos[t])}, {t, 0, 10}, PlotRange -> { {0, 10}, {-2, 2}}];

2

1. 5 1

0.5

-0.5

-1

-1.5

-2

2

1. 5 1

0.5

-0.5

-1 -1. 5

-2

2 4 6 8 10

In[12J:= ParametricPlot[{-Cos[t] +l+t, Sin[t]}, {t, 0, 10}, PlotRange-> {{0, 10}, {-2, 2}}];

2 4 8 10

Page 4: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current
Page 5: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current
Page 6: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current

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Page 7: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current

I

Page 8: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current
Page 9: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current
Page 10: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current

I

Page 11: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current
Page 12: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current
Page 13: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current

Problem 5.9 Find the magnetic field at point P for each of the steady current con­ figurations shown in Fig. 5.23.

1t~b ~ I a

p --~

(a) (b)

Page 14: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current

Problem 5.26

(a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current /. Check that V · A = 0 and V x A = B.

(b) Find the magnetic potential inside the wire, if it has radius R and the current is uniformly distributed.

Page 15: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current
Page 16: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current
Page 17: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current
Page 18: Untitled-I€¦ · Problem 5.26 (a) By whatever means you can think of (short of looking it up), find the vector potential a distance s from an infinite straight wire carrying a current