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Chapter 31: Q. 7 (page 901)

Show that the quantity $ε_{0} \frac{{dФ}_{e}}{d t}$ has units of current.

Short Answer

Expert verified

Unit of $ε_{0} \frac{{dФ}_{e}}{d t}$ is Ampere.

Step by step solution

01

Given Information:

We have been given an expression that we need to find the units of : $ε_{0} \frac{{dФ}_{e}}{d t}$

02

Explanation:

According to:

$ε_{0} \frac{d ϕ_{e}}{d t} = ε_{0} \frac{E A}{d t}$

$= \frac{F}{m} \frac{(\frac{V}{m}) m^{2}}{s}$ $= \frac{F V}{S}$ $= \frac{C}{V} (\frac{V}{S})$

Here F is Faraday; And its units correspond to as:

I = $\frac{C o u l o m b}{s e c}$ = Ampere (A).

Therefore the expression localid="1649877123640" $ε_{0} \frac{{dФ}_{e}}{d t}$ has units Ampere which is the same as that of current.

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