Two capacitors C1=2 μ F and C2=6 μ F in series, are connected in parallel to a third capacitor C3=4 μ F. This arrangement is then connected to a battery of e.m.f. = 2 V , as shown in the figure. How much energy is given by the battery in charging the capacitors:

Question

Two capacitors C1=2 μ F and C2=6 μ F in series, are connected in parallel to a third capacitor C3=4 μ F. This arrangement is then connected to a battery of e.m.f. = 2 V , as shown in the figure. How much energy is given by the battery in charging the capacitors: <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/89f833c87335abe388654052ff48349a-.png" /> (A) 22 × 10-6 J (B) 11 × 10-6 J (C) (32/3) × 10-6 J (D) (16/3) × 10-6 J

Tardigrade Admin · Accepted Answer

Energy supplied by battery U = C text net V 2(double of stored energy)

Q. Two capacitors $C_{1} = 2 μ F$ and $C_{2} = 6 μ F$ in series, are connected in parallel to a third capacitor $C_{3} = 4 μ F$ . This arrangement is then connected to a battery of e.m.f. = $2 V,$ as shown in the figure. How much energy is given by the battery in charging the capacitors :

$22 \times 1 0^{- 6} J$

$11 \times 1 0^{- 6} J$

$\frac{32}{3} \times 1 0^{- 6} J$

$\frac{16}{3} \times 1 0^{- 6} J$

Energy supplied by battery $U = C_{net} V^{2}$ (double of stored energy)

Q. Two capacitors C1​=2μF and C2​=6μF in series, are connected in parallel to a third capacitor C3​=4μF. This arrangement is then connected to a battery of e.m.f. = 2V, as shown in the figure. How much energy is given by the battery in charging the capacitors :

22×10−6J

11×10−6J

332​×10−6J

316​×10−6J