Question 1 :
A capacitor of $50 \mu F$ is connected across a $200$ volt supply. The charge that it would take is
Question 2 :
Capacitance of an isolated metallic sphere having radius $8.1$ mm is nearly :<br/>
Question 3 : <p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">Capacity of a parallel plate condenser is $10 \mu F$ </span></span>when the distance between its plates is $8 cm$. If the distance between the plates is reduced to $4 cm$, its capacity will be :<br/></p>
Question 4 :
Three capacitors connected in series have an effective capacitance of $4 \mu F$. If one of the capacitance is removed, the net capacitance of the capacitor increases to $6 \mu F$. The removed capacitor has a capacitance of
Question 5 :
The equivalent capacitance of capacitors $6\mu F$ and $3\mu F$ connected in series is ______.
Question 6 : <span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">Two spherical conductors A and B of radii $1\ mm$ and $2\ mm$ are separated by a distance of $5\ cm$ and are uniformly charged. If the spheres are connected by a conducting wire, then in the equilibrium condition, find $\dfrac {E_1}{E_2}$.</p>
Question 7 :
A capacitor of capacity $C_1$, is charged by connecting it across a battery of e.m.f. $V_0$. The battery is then removed and the capacitor is connected in parallel with an uncharged capacitor of capacity $C_{2}$. The potential difference across this combination is :<br/>
Question 8 :
Two connected bodies having respectively capacitances ${\text{C}}_{\text{1}} \,{\text{and}}\,{\text{C}}_{\text{2}} $ are charged with a total charge Q. The potentials of the two bodies are.<br>
Question 9 :
The potential across a $25.0$ microfarad capacitor is $5.0 V$.What is the charge on the capacitor?
Question 10 :
Two capacitors $C_1$ and $C_2$ are connected in series, assume that $C_1 < C_2$. The equivalent capacitance of this arrangement is $C$, where
Question 11 :
The capacity of each mercury drop is $10 \mu F$ . $64$ such drops are combined to form a single drop. Its resultant capacity is :
Question 12 :
Two spheres of $3 \mu F$ and $5 \mu F$ are charged to a potential of $300V$ and $500V$ respectively The common potential will be :
Question 13 :
Parallel plate condenser having a plate separation d is charged to a potential V. It is then isolated. The intensity of the separation of the plates is then doubled. The new electric field intensity is :<br/>
Question 14 :
A capacitor of capacitance $5\mu F$ is charged with $5\mu C$ charge. Its capacitance is changed to $2\mu F$ by some external agent. The work done by external agent is:
Question 15 :
The two capacitors $2\mu F$ and $6\mu F$ are put in series, the effective capacity of the system is $\mu F$ is:
Question 16 :
The capacity of a parallel plate condenser is $10\mu F$, when the distance between its plates is $8 $cm. If the distance between the plates is reduced to $4$ cm, then the capacity of this parallel plate condenser will be :<br/>
Question 17 : <p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">Three capacitors $2\mu F, 3\mu F$ and $6\mu F$ </span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">are </span></span>connected in series. The effective capacitance of the combination is:</p>
Question 18 :
The capacitance of a spherical conductor with radius 1 m is :
Question 19 :
Two conducting spheres of radii $r_1$ and $r_2$ are at the same potential. What is the ratio of the charges on them?
Question 20 :
A parallel plate capacitor is charged and then isolated. The effect of increasing the plate separation on charge, potential and capacitance respectively are:
Question 21 :
Two capacitors $C_{1}$ and $C_{2}$ are charged to 120 $V$ and 200 $V$ respectively. It is found that by connecting them together the potential on each one can be made zero. Then,<br/>
Question 22 :
A parallel plate air condenser has capacity of $20\mu F$. If the distance between two plates is doubled, then new capacity will be ________.
Question 23 :
Two parallel-plate condensers of capacitance of $20 \mu F$ and $30 \mu F$ are charged to the potential of $30\ V$ and $20\ V$ respectively. If likely-charged plates are connected together then the common potential difference will be :
Question 24 :
If 'Q' is the quantity of charge, 'V' the potential and 'C' the capacity of a conductor, they are related as:
Question 25 :
A $30\mu F$ capacitor is charged by a constant current of $30$mA. If the capacitor is initially uncharged, how long does it take for the potential difference to reach $400$ V?
Question 26 :
A $500\mu F$ capacitor is charged at a steady rate of $100\mu C/sec$. The potential difference across the capacitor will be $10V$ after an interval of-
Question 27 :
Which of the following is true about field between parallel charged plates?
Question 28 :
The capacitance of spherical conductor of radius r is proportional to :<br/>
Question 29 :
The distance between the plate of a circular parallel plate condenser of diameter $40 mm$, in order to make its capacitance equal to that of a metallic sphere of radius $1m$, will be :
Question 30 :
Two metal pieces having a potential difference of 800 V are 0.02 m apart horizontally. A particle of mass $1.96\times 10^{-15}kg$ is suspended in equilibrium between the plates. If e is the elementary charge, then charge on the particle is<br>
Question 31 :
A series combination of two capacitances of value $0.1\ mu F$ and $1\mu F$ is connected with a source of voltage $500\ volts$. The potential difference in volts across the capacitor of value $0.1\ muF$ will be :
Question 32 : <p class="wysiwyg-text-align-left">Capacity of a parallel plate condenser is $10 \mu F$ when the distance between the plates is 8 cm. If the distance between the plates is reduced to 4 cm, its capacity will be :<br/></p>
Question 33 :
Two capacitors of $10\ pF$ and $20\ pF$ are connected to $200\ V$ and $100\ V$ sources respectively. If they are connected in parallel by the wire, what is the common potential of the capacitors?
Question 34 :
The ratio of the radius of two spherical conductors is $1:2$ then the ratio of their capacitance will be:
Question 35 :
When two capacitors of capacities $3\mu F$ and $6\mu F$ are connected in series and connected to $120 V,$ the potential difference across $3\mu F$ is:
Question 36 :
Two condensers of capacity $C_1$  and  $C_2$ are connected in parallel. If a charge Q is given to the assembly, the charge gets shared. The ratio of the charge on the condenser $C_1$ to the charge on the condenser $C_2$ is :<br/>
Question 37 :
A ${10}\ {\mu F}$ capacitor is charged to $10\ V$ and disconnected from the battery. If another uncharged ${10}\ {\mu F}$ capacitor is connected across it in parallel the voltage across the combination will be:
Question 38 :
An air-gap parallel plate capacitor is fully charged by a battery.<br>What combination of two measurements will allow someone to calculate the magnitude of the electric field in between the capacitor plates?
Question 39 : <p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">A capacitor acquires a potential difference</span></span><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"> of $200\;V$ when $10^{12}$ </span></span>electrons are taken from one plate and placed on the other plate. Its capacitance is:</p>
Question 40 : <p class="wysiwyg-text-align-left"><span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">$n$ capacitors each of capacitance 2 $\mu F$ are connected in parallel and a potential difference of $200\; V$  is applied to the combination. The total charge on all the positive plates is $1$ Coulomb then $n$ is equal to :<br/></span></span></p>
Question 41 :
Assertion: Charge on all the condensers connected in series is the same.
Reason: Charge present on a capacitor is directly proportional to its capacitance
Question 42 :
If the diameter of earth is $ 128\times 10^2 $km then its capacitance will be :<br/>
Question 43 :
The capacitance of a conducting metallic sphere will be $1\mu F$ if its radius is nearly :<br/>
Question 44 :
Two metal spheres of capacitance, ${C}_{1}$ and ${C}_{2}$ carry some charges. They are put in contact and then separated. The final charges ${Q}_{1}$ and ${Q}_{2}$ on them will satisfy:
Question 45 :
The distance between the plates of a circular parallel plate capacitor of diameter $40 \,mm$, whose capacity is equal to that of a metallic sphere of radius $1 \,m$ will be:
Question 46 :
When two capacitors of capacities of $3\mu F$ and $6\mu F$ are connected in series and connected to $120\ V$, the potential difference across $3\mu F$ is:
Question 47 :
Two capacitors A and B of capacitance $ 6 \mu F$ and $10 \mu F$ respectively are connected in parallel and this combination is connected in series with a third capacitors C of $ 4 \mu F $. A potential difference of 100 volt is applied across the entire combination. Find the charge and potential difference across $6\ \mu F$ capacitor.
Question 49 : <span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small"></span></span><p class="wysiwyg-text-align-left">The breakdown field strength for dry air is $3\times 10^{6}$V/m<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">. </span></span>Each of the plates of the parallel plate capacitor has an area of $0.2 \; m^2$<span class="wysiwyg-font-size-small"><span class="wysiwyg-font-size-small">. </span></span>The maximum charge that can be collected is : (Given permittivity of air $\epsilon_\circ{}=8.85\times10^{-12}C^2/Nm^2$)</p>
