Chapter 26: Q. 14 (page 738)

The electric potential along the $x - a x i s is V = 100 x^{2}$ V, where $x$ is in meters. What is $E_{x}$ at
(a) $x = 0 m$ and
(b) $x = 1 m$ ?

Short Answer

Expert verified

The field is $0 at x = 0$ and $- 200 V / m at a = 1 m$ .

Step by step solution

Given information and theory used

Given : The electric potential along the $x$ -axis is : $V = 100 x^{2} V$

(a) $x = 0 m$ and (b) $x = 1 m$

Theory used :

The electric field is expressed as a function of potential as :

$E (x) = - \frac{d V (x)}{d x}$

Calculating the required electric potential

$E (x) = - \frac{d V (x)}{d x} = - 100 \cdot 2 x V = - 200 x V$ is the $x$ component of the electric field that is equivalent to the derivative of the potential with respect to $x$

This gives $E_{x} = 0$ at $x = 0 m$ and

$E = - 200 V / m$ at $x = 1 m$ .

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The electric potential along the $x - a x i s is V = 100 x^{2}$ V, where $x$ is in meters. What is $E_{x}$ at
(a) $x = 0 m$ and
(b) $x = 1 m$ ?

Short Answer

Step by step solution

Given information and theory used

Calculating the required electric potential

One App. One Place for Learning.

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The electric potential along the x-axisisV=100x2V, where xis in meters. What is Exat (a) x=0mand(b) x=1m?

Short Answer

Step by step solution

Given information and theory used

Calculating the required electric potential

One App. One Place for Learning.

Most popular questions from this chapter

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Further Mechanics and Thermal Physics

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Study anywhere. Anytime. Across all devices.

The electric potential along the $x - a x i s is V = 100 x^{2}$ V, where $x$ is in meters. What is $E_{x}$ at
(a) $x = 0 m$ and
(b) $x = 1 m$ ?