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الفيزياء العامة الجزء الثاني#موقع الفيزياء.كوم

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Lectures in General Physics

Example 5.1

Derive the potential difference between points A and B in uniform

electric field using the general case.

Solution

V

B

−V

A

= −

B

B

ο

∫ E.

dl = −∫

E cos180 dl = ∫

A

r

r

A

B

A

Edl

(5.7)

E is uniform (constant) and the integration over the path A to B is d,

therefore

B

V

B

−VA

= E∫ dl = Ed

(5.8)

A

Example 5.2

In figure 5.6 the test charge moved

from A to B along the path shown.

Calculate the potential difference

between A and B.

B

Dd

F

Ddl

Oq o

Oq o E

Ddl

Oq o

Oq E

o

F

C

A

E

Figure 5.6

Dr. Hazem Falah Sakeek

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