The charge accumulated on the capacitor connected in the following circuit is ___________ $\mu\text{C}$. (given $C = 150\ \mu\text{F}$)
A \( 16 \, \Omega \) wire is bend to form a square loop. A \( 9 \, \text{V} \) battery with internal resistance \( 1 \, \Omega \) is connected across one of its sides. If a \( 4 \, \mu\text{F} \) capacitor is connected across one of its diagonals, the energy stored by the capacitor will be \( \frac{x}{2} \, \mu \text{J} \), where \( x = \) __________.
The electric field between the two parallel plates of a capacitor of \( 1.5 \, \mu \text{F} \) capacitance drops to one third of its initial value in \( 6.6 \, \mu \text{s} \) when the plates are connected by a thin wire. The resistance of this wire is ________ \( \Omega \). (Given, \( \log 3 = 1.1 \))
A parallel plate capacitor with plate separation \( 5 \, \text{mm} \) is charged up by a battery. It is found that on introducing a dielectric sheet of thickness \( 2 \, \text{mm} \), while keeping the battery connections intact, the capacitor draws \( 25\% \) more charge from the battery than before. The dielectric constant of the sheet is \( \_\_\_\_\_\_\_\_ \).
A capacitor of \( 10 \, \mu \text{F} \) capacitance whose plates are separated by \( 10 \, \text{mm} \) through air and each plate has area \( 4 \, \text{cm}^2 \) is now filled equally with two dielectric media of \( K_1 = 2, K_2 = 3 \) respectively as shown in figure. If new force between the plates is \( 8 \, \text{N} \). The supply voltage is ____ \( V \).
A capacitor has air as dielectric medium and two conducting plates of area \( 12 \,\text{cm}^{2} \) and they are \( 0.6 \,\text{cm} \) apart. When a slab of dielectric having area \( 12 \,\text{cm}^{2} \) and \( 0.6 \,\text{cm} \) thickness is inserted between the plates. One of the conducting plates has to be moved by \( 0.2 \,\text{cm} \) to keep the capacitance same as in previous case. The dielectric constant of the slab is:(Given \( \varepsilon_{0} = 8.834 \times 10^{-12} \,\text{F/m} \))
A capacitor of capacitance \( C \) and potential \( V \) has energy \( E \). It is connected to another capacitor of capacitance \( 2C \) and potential \( 2V \). Then the loss of energy is \( \frac{x}{3} E \), where \( x \) is________.
In an electrical circuit drawn below the amount of charge stored in the capacitor is ______ \( \mu\text{C} \).
Three capacitors of capacitances \( 25 \, \mu \text{F} \), \( 30 \, \mu \text{F} \) and \( 45 \, \mu \text{F} \) are connected in parallel to a supply of \( 100 \, \text{V} \). Energy stored in the above combination is \( E \). When these capacitors are connected in series to the same supply, the stored energy is \( \frac{9}{x} E \). The value of \( x \) is __________.
