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الفيزياء العامة الجزء الثاني#موقع الفيزياء.كوم

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Lectures in General Physics

Example 7.4

(a) Calculate the resistance per unit length of a 22 nichrome wire of

radius 0.321mm. (b) If a potential difference of 10V is maintained cross

a1m length of nichrome wire, what is the current in the wire.

ρ nichromes =1.5×10 -6 Ω.m.

Solution

(a) The cross sectional area of the wire is

A = πr 2 = π (0.321×10 -3 ) 2 = 3.24×10 -7 m 2

The resistance per unit length is R/ l

−6

R ρ 1.5×

10

= =

−7

l A 3.24×

10

(b) The current in the wire is

V 10

I = = = 2. 2A

R 4.6

= 4.6Ω

/ m

Nichrome wire is often used for heating elements in electric heater, toaster and irons, since

its resistance is 100 times higher than the copper wire.

Material

1 Silver 1.59×10 -8

2 Copper 1.7×10 -8

3 Gold 2.44×10 -8

4 Aluminum 2.82×10 -8

5 Tungesten 5.6×10 -8

6 Iron 10×10 -8

7 Platinum 11×10 -8

8 Lead 20×10 -8

9 Nichrome 150×10 -8

10 Carbon 3.5×10 -5

11 Germanium 0.46

12 Silicon 640

13 Glass 10 10 -10 14

Resistivity (Ω.m)

Table (7.1) Resistivity of various materials at 20 o C

Dr. Hazem Falah Sakeek

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