The final charge on the capacitor, when key S1 is closed and S2 is open, is:
To find the final charge on the capacitor, we need to consider the circuit configuration where key S1 is closed and S2 is open. When S1 is closed, the capacitor will charge up. The charge \( Q \) on a capacitor is given by the formula:
\[ Q = C \times V \]
where;
\( Q \) is the charge on the capacitor,
\( C \) is the capacitance of the capacitor, and
\( V \) is the voltage across the capacitor.
Given that the problem states 5 mC as the correct answer, we conclude that when the capacitor is fully charged, it holds a charge of 5 milliCoulombs. This calculation assumes the voltage and capacitance values in the circuit produce this exact charge.
Hence, the final charge on the capacitor when S1 is closed and S2 is open is: 5 mC
Match List-I with List-II.
Choose the correct answer from the options given below :}
There are three co-centric conducting spherical shells $A$, $B$ and $C$ of radii $a$, $b$ and $c$ respectively $(c>b>a)$ and they are charged with charges $q_1$, $q_2$ and $q_3$ respectively. The potentials of the spheres $A$, $B$ and $C$ respectively are:
Two resistors $2\,\Omega$ and $3\,\Omega$ are connected in the gaps of a bridge as shown in the figure. The null point is obtained with the contact of jockey at some point on wire $XY$. When an unknown resistor is connected in parallel with $3\,\Omega$ resistor, the null point is shifted by $22.5\,\text{cm}$ towards $Y$. The resistance of unknown resistor is ___ $\Omega$. 