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Chapter 27: Q. 11 (page 762)

In an integrated circuit, the current density in a 2.5m-thick脳75渭m-widewide gold film is localid="1648893767234" 7.5脳105A/m2. How much charge flows through the film in 15min?

Short Answer

Expert verified

The amount of charge flows through the film in15minis0.127C.

Step by step solution

01

Given Information

Integrated circuit thickness=2.5m

Integrated circuit wide=75渭m

Current density=7.5脳105A/m2

Time=15min

02

Explanation

Using the latter's definition of the intensity, we can express the charge passed through time as follows:

I:=Qt鈬�Q=It

The current can be found from the current density and the area of the cross-section as follows:

J:=IA鈬�I=JA

Substituting, we have

Q=JAt

Since the cross-section is a rectangle, let us substitute it's an area, thus finding

Q=Jabt

Substitute the expression,

localid="1648894401072" role="math" Q=(7.5脳105A/m2脳2.5脳10-6m脳7.5脳10-5A/m2脳15s脳60s)

Simplify the expression,

=0.127C

03

Final Answer 

Hence, the amount of charge flows through the film in 15minis0.127C

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