Two capacitors of $10\,\mu \,F$ and $20\,\mu \,F$ are connected in series with a $30\,V$ battery. The charge on the capacitors will be, respectively
A$100\,\mu \,C , 200\, \mu \,C$
B$200\,\mu \,C , 100\, \mu \,C$
C$100\,\mu \,C , 100\, \mu \,C$
D$200\,\mu \,C , 200\, \mu \,C$
Medium
Download our app for free and get started
D$200\,\mu \,C , 200\, \mu \,C$
d (d) In series combination of capacitor charge on each capacitor is same ${Q_1} = {Q_2} = Q = {C_{eq}}V$
${C_{eq}}V = \left( {\frac{{10 \times 20}}{{10 + 20}}} \right) \times 30$$ = \frac{{200}}{{30}} \times 30 = 200\,\mu C$
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.*
Three capacitors $2$ $\mu F$, $3$ $\mu F$ and $5$ $\mu F$ can withstand voltages to $3\,V, 2\,V$ and $1\,V$ respectively. Their series combination can withstand a maximum voltage equal to.....$Volts$
An arc of radius $r$ carries charge. The linear density of charge is $\lambda$ and the arc subtends a angle $\frac{\pi }{3}$ at the centre. What is electric potential at the centre
Sixty-four drops are jointed together to form a bigger drop. If each small drop has a capacitance $C$, a potential $V$, and a charge $q$, then the capacitance of the bigger drop will be
A parallel plate capacitor of capacitance $C$ is connected to a battery and is charged to a potential difference $V$. Another capacitor of capacitance $2C$ is similarly charged to a potential difference $2V$. The charging battery is now disconnected and the capacitors are connect in parallel to each other in such a way that the positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is
The identical metal plates with large surface areas are kept parallel to each other as shown in figure. The left most plate is given a charge $Q$ , the rightmost a charge $-2Q$ and the middle one remains neutral. Find the charge appearing on the outer surface of the rightmost plate
A spherical drop of mercury having a potential of $2.5\, V$ is obtained as a result of merging $125$ droplets. The potential of constituent droplets would be........$V$
A battery is used to charge a parallel plate capacitor till the potential difference between the plates becomes equal to the electromotive force of the battery. The ratio of the energy stored in the capacitor and the work done by the battery will be