A certain cylindrical wire carries current. We draw a circle of radius r around its central axis in Figure (a) to determine the current i within the circle. Figure (b) shows current i as a function of r2. The vertical scale is set by is = 5.1 mA, and the horizontal scale is set by r,² = 4.1 mm². (a) Is the current density uniform? (b) If so, what is its magnitude? (a) i (mA) 4 0 ² (mm²) (6)

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A certain cylindrical wire carries current. We draw a circle of radius r around its central axis in Figure (a) to determine the current i
within the circle. Figure (b) shows current i as a function of r2. The vertical scale is set by is = 5.1 mA, and the horizontal scale is set by r.²
= 4.1 mm². (a) Is the current density uniform? (b) If so, what is its magnitude?
(a)
(b) Number
i
Units
i (mA)
0
(a)
² (mm²)
(b)
Transcribed Image Text:A certain cylindrical wire carries current. We draw a circle of radius r around its central axis in Figure (a) to determine the current i within the circle. Figure (b) shows current i as a function of r2. The vertical scale is set by is = 5.1 mA, and the horizontal scale is set by r.² = 4.1 mm². (a) Is the current density uniform? (b) If so, what is its magnitude? (a) (b) Number i Units i (mA) 0 (a) ² (mm²) (b)
Figure (a) gives the magnitude E(x) of the electric fields that have been set up by a battery along a resistive rod of length L = 9.00 mm
(see Figure (b)). The vertical scale is set by E, = 5.60 x103 V/m. The rod consists of three sections of the same material but with
different radii. (The schematic diagram of the figure (b) below does not indicate the different radii.) The radius of section 3 is 2.01 mm.
What is the radius of (a) section 1 and (b) section 2?
(a) Number
(b) Number
i
i
(t/01)3
E
0
3
x (mm)
(a)
Units
2
Units
6
+
(b)
x=0
x = L
Transcribed Image Text:Figure (a) gives the magnitude E(x) of the electric fields that have been set up by a battery along a resistive rod of length L = 9.00 mm (see Figure (b)). The vertical scale is set by E, = 5.60 x103 V/m. The rod consists of three sections of the same material but with different radii. (The schematic diagram of the figure (b) below does not indicate the different radii.) The radius of section 3 is 2.01 mm. What is the radius of (a) section 1 and (b) section 2? (a) Number (b) Number i i (t/01)3 E 0 3 x (mm) (a) Units 2 Units 6 + (b) x=0 x = L
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