An infinite non-conducting sheet has a surface charge density sigma = 0.10, μ C/m^2 on one si

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2. Electric Potential and Capacitance

medium

An infinite non-conducting sheet has a surface charge density $\sigma = 0.10\, \mu C/m^2$ on one side. How far apart are equipotential surfaces whose potentials differ by $50\, V$

$8.85\, m$

$8.85\, cm$

$8.85\, mm$

$88.5\, mm$

Solution

(c) $E = \frac{V}{d}$ $==>$ $\frac{\sigma }{{2{\varepsilon _0}}} = \frac{V}{d}$ $==>$ $d = \frac{{V \times 2{\varepsilon _0}}}{\sigma }$ $ = \frac{{50 \times 2 \times 8.85 \times {{10}^{ – 12}}}}{{0.1 \times {{10}^{ – 6}}}}$
$= 8.85 \times 10^{-3} \,m = 8.88\, mm$

Standard 12

Physics

This question has Statement $-1$ and Statement $-2$ Of the four choices given after the Statements, choose the one that best describes the two Statements

Statement $1$ : No work is required to be done to move a test charge between any two points on an equipotential surface

Statement $2$ : Electric lines of force at the equipotential surfaces are mutually perpendicular to each other

hard

(JEE MAIN-2013)

Two point charges of magnitude $+q$ and $-q$ are placed at $\left( { – \frac{d}{2},0,0} \right)$ and $\left( {\frac{d}{2},0,0} \right)$, respectively. Find the equation of the equipotential surface where the potential is zero.

medium

A uniform electric field pointing in positive $x$-direction exists in a region. Let $A$ be the origin, $B$ be the point on the $x$-axis at $x = + 1$ $cm$ and $C$ be the point on the $y$-axis at $y = + 1\,cm$. Then the potentials at the points $A$, $B$ and $C$ satisfy

easy

(IIT-2001)

Electric field is always …… to the equipotential surface at every point. (Fill in the gap)

easy

Which of the following figure shows the correct equipotential surfaces of a system of two positive charges?

medium

(AIIMS-2017)

An infinite non-conducting sheet has a surface charge density $\sigma = 0.10\, \mu C/m^2$ on one side. How far apart are equipotential surfaces whose potentials differ by $50\, V$

Solution

Similar Questions

Two point charges of magnitude $+q$ and $-q$ are placed at $\left( { – \frac{d}{2},0,0} \right)$ and $\left( {\frac{d}{2},0,0} \right)$, respectively. Find the equation of the equipotential surface where the potential is zero.

A uniform electric field pointing in positive $x$-direction exists in a region. Let $A$ be the origin, $B$ be the point on the $x$-axis at $x = + 1$ $cm$ and $C$ be the point on the $y$-axis at $y = + 1\,cm$. Then the potentials at the points $A$, $B$ and $C$ satisfy

Electric field is always …… to the equipotential surface at every point. (Fill in the gap)

Which of the following figure shows the correct equipotential surfaces of a system of two positive charges?

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