Chapter 27: Q. 11 (page 762)

In an integrated circuit, the current density in a $2.5 m - t h i c k \times 75 μ m - w i d e$ wide gold film is localid="1648893767234" $7.5 \times 10^{5} A / m^{2}$ . How much charge flows through the film in $15 \min$ ?

Short Answer

Expert verified

The amount of charge flows through the film in $15 m i n$ is $0.127 C .$

Step by step solution

Given Information

Integrated circuit thickness $= 2.5 m$

Integrated circuit wide $= 75 μ m$

Current density $= 7.5 \times 10^{5} A / m^{2}$

Time $= 15 m i n$

Explanation

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

$I : = \frac{Q}{t} \Rightarrow Q = I t$

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

$J : = \frac{I}{A} \Rightarrow I = J A$

Substituting, we have

$Q = J A t$

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

$Q = J a b t$

Substitute the expression,

localid="1648894401072" role="math" $Q = (7.5 \times 10^{5} A / m^{2} \times 2.5 \times 10^{- 6} m \times 7.5 \times 10^{- 5} A / m^{2} \times 15 s \times 60 s)$

Simplify the expression,

$= 0.127 C$

Final Answer

Hence, the amount of charge flows through the film in $15 m i n$ is $0.127 C$

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In an integrated circuit, the current density in a $2.5 m - t h i c k \times 75 μ m - w i d e$ wide gold film is localid="1648893767234" $7.5 \times 10^{5} A / m^{2}$ . How much charge flows through the film in $15 \min$ ?

Short Answer

Step by step solution

Given Information

Explanation

Final Answer

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

Short Answer

Step by step solution

Given Information

Explanation

Final Answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Force

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Study anywhere. Anytime. Across all devices.

In an integrated circuit, the current density in a $2.5 m - t h i c k \times 75 μ m - w i d e$ wide gold film is localid="1648893767234" $7.5 \times 10^{5} A / m^{2}$ . How much charge flows through the film in $15 \min$ ?