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

Recommended explanations on Physics Textbooks

Circular Motion and Gravitation

Oscillations

Electromagnetism

Linear Momentum

Wave Optics

Conservation of Energy and Momentum

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) $x = 1 m$ ?