A parallel plate capacitor has circular plates of $0.08\,m$ radius and $1.0 \times {10^{ - 3}}\,m$ separation. If a $P.D.$ of $100\;volt$ is applied, the charge will be
Easy
Download our app for free and get started
(b) $Q = CV = \frac{{\pi {{(0.08)}^2}{\varepsilon _0}}}{{1 \times {{10}^{ - 3}}}} \times 100 = 1.8 \times {10^{ - 8}}\,C$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1Two metallic spheres of radii $1\,\, cm$ and $3\,\, cm$ are given, charges of $-1$$ \times {10^{ - 2}}$ $C$ and $5$$ \times {10^{ - 2}}\,C$ respectively. If these are connected by a conducting wire, the final charge on the bigger sphere isView Solution
- 2Determine the electric field strength vector if the potential of this field depends on $x, y$ coordinates as $V=10$ axyView Solution
- 3A conducting sphere of radius $R$ is given a charge $Q.$ The electric potential and the electric field at the centre of the sphere respectively areView Solution
- 4A parallel plate capacitor with air between the plate has a capacitance of $15 pF$. The separation between the plate becomes twice and the space between them is filled with a medium of dielectric constant $3.5.$ Then the capacitance becomes $\frac{ x }{4}\,pF$.The value of $x$ is $............$View Solution
- 5The area of the plates of a parallel plate capacitor is $A$ and the gap between them is $d$. The gap is filled with a non-homogeneous dielectric whose dielectric constant varies with the distance $‘y’$ from one plate as : $K = \lambda \ sec(\pi y/2d)$, where $\lambda $ is a dimensionless constant. The capacitance of this capacitor isView Solution
- 6Four equal capacitors, each of capacity $C$, are arranged as shown. The effective capacitance between $A$ and $B$ isView Solution
- 7Four capacitors are connected in a circuit as shown in the figure. The effective capacitance in $\mu F$ between points $A$ and $B$ will beView Solution
- 8Two parallel metal plates having charges $+Q$ and $- Q$ face each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates willView Solution
- 9Three identical metal plates with large surface areas are kept parallel to each other as shown in figure. The left most plates is given a charge $Q$ and the right most plate $C$ is given a charge $-2Q.$ The middle plate $B$ is neutral. Then the charge appearing on the outer surface $S$ of the plate $C$ is :-View Solution
- 10An electric charge ${10^{ - 3}}\,\mu \,C$ is placed at the origin $(0, 0)$ of $X -Y$ co-ordinate system. Two points $A$ and $B$ are situated at $\left( {\sqrt {2\,} \,,\,\,\sqrt 2 } \right)$ and $(2, 0)$ respectively. The potential difference between the points $A$ and $B$ will be......$volt$View Solution