28.03.2023 Views

الفيزياء العامة الجزء الثاني#موقع الفيزياء.كوم

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Capacitors and capacitance

Example 6.5

Three capacitors of 8µF, 10µF and 14µF are connected to a battery of

12V. How much energy does the battery supply if the capacitors are

connected (a) in series and (b) in parallel?

Solution

(a) For series combination

1

C

1

=

C

1

1

+

C

2

1

+

C

3

1

C

=

1

8

+

1

10

+

1

14

This gives

C = 3.37 µF

Then the energy U is

1 U = CV

2

2

U = 1/2 (3.37×10 -6 ) (12) 2 = 2.43×10 -4 J

(b) For parallel combination

C = C +

1

+ C2

C3

C= 8+10+14=32µF

The energy U is

U = 1/2 (32×10 -6 ) (12) 2 = 2.3×10 -3 J

www.hazemsakeek.com

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!