Three capacitors each of capacitance C=2 μ F are connected with a battery of emf 30 V as shown in the figure. When the switch S is closed, the heat generated in the circuit will be

Question

Three capacitors each of capacitance C=2 μ F are connected with a battery of emf 30 V as shown in the figure. When the switch S is closed, the heat generated in the circuit will be <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-rpnieflnxvmh.png" /> (A) 0.15mJ (B) 0.30mJ (C) 0.10mJ (D) 0.60mJ

Tardigrade Admin · Accepted Answer

Ui=(1/2)C((V/3))2+(1/2)C((V/3))2+(1/2)(C)((2 V/3))2 Uf=(1/2)CV2 Wb=(C V2/3) Δ H=[Wb - (Uf - Ui)]=(C V2/6)=0.30mJ

Q. Three capacitors each of capacitance $C = 2 μ F$ are connected with a battery of emf $30 V$ as shown in the figure. When the switch $S$ is closed, the heat generated in the circuit will be

$0.15 m J$

$0.30 m J$

$0.10 m J$

$0.60 m J$

$U_{i} = \frac{1}{2} C (\frac{V}{3})^{2} + \frac{1}{2} C (\frac{V}{3})^{2} + \frac{1}{2} (C) (\frac{2 V}{3})^{2}$
$U_{f} = \frac{1}{2} C V^{2}$
$W_{b} = \frac{C V ^{2}}{3}$
$Δ H = [W_{b} - (U_{f} - U_{i})] = \frac{C V ^{2}}{6} = 0.30 m J$

Q. Three capacitors each of capacitance C=2μF are connected with a battery of emf 30V as shown in the figure. When the switch S is closed, the heat generated in the circuit will be

0.15mJ

0.30mJ

0.10mJ

0.60mJ