Question:
A charge $q$ is surrounded by a closed surface consisting of an inverted cone of height $h$ and base radius $R$, and a hemisphere of radius $R$ as shown in the figure The electric flux through the conical surface is $\frac{n q}{6 \epsilon_0}$ (in SI units) The value of $n$ is ______
A charge $q$ is surrounded by a closed surface consisting of an inverted cone of height $h$ and base radius $R$, and a hemisphere of radius $R$ as shown in the figure The electric flux through the conical surface is $\frac{n q}{6 \epsilon_0}$ (in SI units) The value of $n$ is ______
Updated On: May 28, 2024
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Correct Answer: 3
Solution and Explanation
\(φ\) through cone = \(\frac{q}{2\epsilon_0}\)
\(∴ n = 3\)
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Concepts Used:
Electrostatic Potential
The electrostatic potential is also known as the electric field potential, electric potential, or potential drop is defined as “The amount of work that is done in order to move a unit charge from a reference point to a specific point inside the field without producing an acceleration.”
SI Unit of Electrostatic Potential:
SI unit of electrostatic potential - volt
Other units - statvolt
Symbol of electrostatic potential - V or φ
Dimensional formula - ML2T3I-1
Electric Potential Formula:
The electric potential energy of the system is given by the following formula:
U = 1/(4πεº) × [q1q2/d]
Where q1 and q2 are the two charges that are separated by the distance d.