Four condensers each of capacity 4 μ F are connected as shown in figure. Given that VP-VQ=15 volts . The energy stored in the system is

Question

Four condensers each of capacity 4 μ F are connected as shown in figure. Given that VP-VQ=15 volts . The energy stored in the system is (A) 2400 ergs (B) 1800 ergs (C) 3600 ergs (D) 5400 ergs

Tardigrade Admin · Accepted Answer

Total capacitance of given system, Ce q=(8/5) μ F U=(1/2) Ce q V2=(1/2) × (8/5) × 10-6 × 225 =180 × 10-6 J =180 × 10-6 × 107 erg =1800 erg

Q. Four condensers each of capacity $4 μ F$ are connected as shown in figure. Given that $V_{P} - V_{Q} = 15$ volts . The energy stored in the system is

2400 ergs

1800 ergs

3600 ergs

5400 ergs

Total capacitance of given system, $C_{e q} = \frac{8}{5} μ F$
$U = \frac{1}{2} C_{e q} V^{2} = \frac{1}{2} \times \frac{8}{5} \times 1 0^{- 6} \times 225$
$= 180 \times 1 0^{- 6} J$
$= 180 \times 1 0^{- 6} \times 1 0^{7} er g = 1800 er g$

Q. Four condensers each of capacity 4μF are connected as shown in figure. Given that VP​−VQ​=15 volts . The energy stored in the system is