A capacitor when filled with a dielectric $K = 3$ has charge ${Q_0}$, voltage ${V_0}$ and field ${E_0}$. If the dielectric is replaced with another one having $K = 9$ the new values of charge, voltage and field will be respectively
A$3{Q_0},\;3{V_0},\;3{E_0}$
B${Q_0},\;3{V_0},\;3{E_0}$
C${Q_0},\;\frac{{{V_0}}}{3},\;3{E_0}$
D${Q_0},\;\frac{{{V_0}}}{3},\;\frac{{{E_0}}}{3}$
Easy
Download our app for free and get started
D${Q_0},\;\frac{{{V_0}}}{3},\;\frac{{{E_0}}}{3}$
d (d) When there is no battery, charge remains same while potential difference and electric field decreases
i.e. $Q' = {Q_0},V' = \frac{{{V_0} \times 3}}{9} = \frac{{{V_0}}}{3}$and $E' = \frac{{{E_0} \times 3}}{9} = \frac{{{E_0}}}{3}$
Download our app
and 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.*
In a uniform electric field, a cube of side $1\ cm$ is placed. The total energy stored in the cube is $8.85\ μJ$ . The electric field is parallel to four of the faces of the cube. The electric flux through any one of the remaining two faces is
Point charge ${q_1} = 2\,\mu C$ and ${q_2} = - 1\,\mu C$ are kept at points $x = 0$ and $x = 6$ respectively. Electrical potential will be zero at points
From a supply of identical capacitors rated $8\ \mu F$, $250\ V$, the minimum number of capacitors required to form a composite $16$ $\mu F$, $1000$ $V$ is :
A capacitor of $4\, \mu F$ is connected to a $15\, V$ supply through $1$ mega ohm resistance. The time taken by the capacitor to charge upto $63.2\%$ of its final charge will be......$s$
An infinite nonconducting sheet of charge has a surface charge density of $10^{-7}\ C/m^2$. The separation between two equipotential surfaces near the sheet whose potential differ by $ 5\,V$ is
A charge of $5\,C$ is given a displacement of $0.5\,m$. The work done in the process is $10\,J$. The potential difference between the two points will be.......$V$
Two charges ${q_1}$ and ${q_2}$ are placed $30\,\,cm$ apart, shown in the figure. A third charge ${q_3}$ is moved along the arc of a circle of radius $40\,cm$ from $C$ to $D$. The change in the potential energy of the system is $\frac{{{q_3}}}{{4\pi {\varepsilon _0}}}k$, where $k$ is