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الفيزياء العامة الجزء الثاني#موقع الفيزياء.كوم

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Lectures in General Physics

The current I and the charge q are varying with time. Substitute for

dq

I = dt

(8.12)

dq q

ζ − R − = 0

(8.13)

dt C

By solving the differential equation to find the q as a function of time we

get,

−t

RC

q = Cζ (1 − e )

(8.14)

The quantity Cξ is the maximum charge Q in the capacitor.

−t

RC

q = Q(1

− e )

(8.15)

The current I is

I

=

dq

dt

ζ

= e

R

−t

RC

(8.16)

Q

q

I (A)

I o

Q = Cξ

I o

ξ

=

R

t (sec)

t (sec)

Figure 8.19

Plots of the charge Q and the current I as a function of

time in the charging process

Dr. Hazem Falah Sakeek

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