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In the circuit shown in figure, four capacitors are connected to a battery. A capacitor is connected to a battery. The force of attraction between the plates when the separation between them is halved
All six capacitors shown are identical, Each can withstand maximum $200\, volts$ between its terminals. The maximum voltage that can be safely applied between $A$ and $B$ is.....$V$
A parallel plate condenser is filled with two dielectrics as shown. Area of each plate is $A\;metr{e^2}$ and the separation is $t$ $metre$. The dielectric constants are ${k_1}$ and ${k_2}$ respectively. Its capacitance in farad will be
Electric potential in a region is varying according to the relation $V=\frac{3 x^2}{2}-\frac{y^2}{4}$, where $x$ and $y$ are in metre and $V$ is in volt. Electric field intensity (in $N/C$) at a point $(1 \,m , 2 \,m$ ) is ......
While working on a physics project at school physics lab, you require a $4 \,\mu F$ capacitor in a circuit across a potential difference of $1 \,kV$. Unfortunately, $4 \,\mu F$ capacitors are out of stock in your lab but $2 \,\mu F$ capacitors which can withstand a potential difference of $400 \,V$ are available in plenty. If you decide to use the $2 \,\mu F$ capacitors in place of $4 \,\mu F$ capacitor, minimum number of capacitors required are