Capacitors in series and parallel, energy stored, dielectric insertion.
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Q1 · Capacitance (Class 12) · EASY
Three capacitors of capacitance 2 μF, 3 μF and 6 μF are connected in series across a 12 V battery. What is the total capacitance of the combination?
Q2 · Capacitance (Class 12) · MEDIUM
A parallel plate capacitor has a capacitance of 4 μF when air is between the plates. A dielectric slab of dielectric constant 5 is inserted between the plates filling the entire space. The new capacitance is:
Q3 · Capacitance (Class 12) · HARD
A capacitor of capacitance 10 μF is charged to a potential difference of 100 V. It is then disconnected from the battery and connected in parallel to an uncharged capacitor of capacitance 5 μF. What is the energy loss in the process?
Q4 · Capacitance (Class 12) · EASY
A parallel plate capacitor with air as dielectric has capacitance 8 μF. The area is divided into two equal halves and filled with two dielectrics of constants K₁ = 3 and K₂ = 5 respectively. The new capacitance of the system will be
Q5 · Capacitance (Class 12) · MEDIUM
Three capacitors of capacitance 2 μF, 3 μF and 6 μF are connected in series to a 12 V battery. The charge on the 3 μF capacitor is