Eight capacitors each of capacitance of $C$ are connected as shown in the figure. The effective capacitance between $A$ and $B$ is
Medium
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Two identical capacitors $1$ and $2$ are connected in series to a battery as shown in figure. Capacitor $2$ contains a dielectric slab of dielectric constant k as shown. $Q_1$ and $Q_2$ are the charges stored in the capacitors. Now the dielectric slab is removed and the corresponding charges are $Q’_1$ and $Q’_2$. Then
A uniform electric field of $20\, N/C$ exists along the $x$ -axis in a space. The potential difference $(V_B -V_A)$ for the point $A(4\,m, 2\,m)$ and $B(6\,m, 5\,m)$ is.....$V$
A network of four capacitors of capacity equal to ${C_1} = C,\,\,{C_2} = 2C,\,{C_3} = 3C$ and ${C_4} = 4C$ are conducted in a battery as shown in the figure. The ratio of the charges on ${C_2}$ and ${C_4}$ is
Assume that an electric field $\vec E = 30{x^2}\hat i$ exists in space. Then the potential difference $V_A-V_O$ where $V_O$ is the potential at the origin and $V_A$ the potential at $x = 2\ m$ is....$V$
The diagram shows four capacitors with capacitances and break down voltages as mentioned. What should be the maximum value of the external emf source such that no capacitor breaks down ? .......$kV$
A table tennis ball which has been covered with conducting paint is suspended by a silk thread so that it hang between two plates, out of which one is earthed and other is connected to a high voltage generator. This ball
Two capacitors of capacitances $1\ \mu F$ and $3\ \mu F$ are charged to the same voltages $5\,V$. They are connected in parallel with oppositely charged plates connected together. Then:
Positive and negative point charges of equal magnitude are kept at $\left(0,0, \frac{a}{2}\right)$ and $\left(0,0, \frac{-a}{2}\right)$, respectively. The work done by the electric field when another positive point charge is moved from $(-a, 0,0)$ to $(0, a, 0)$ is