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What is the g...

Question

What is the greatest absolute value of $E_{x}$ ?

5 V / m

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\frac{10}{3} V / m

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0 V / m

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25 V / m

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Solution

The correct option is D $25 V / m$
Since $E_{x} = \frac{- δ V}{δ x}$ , the greatest absolute value of $E_{x}$ corresponds to the interval in which $V$ changes most steeply. From the graph we see that this occurs in the interval $a b$ with $| E_{x} | = ∣ ∣ ∣ \frac{15 - (- 10)}{(- 2) - (- 3)} ∣ ∣ ∣ = 25 V / m$

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