If the charge on a capacitor is increased by 2 C, the energy stored in it increases by 44 %. The original charge on the capacitor is (in C ) :

Question

If the charge on a capacitor is increased by 2 C, the energy stored in it increases by 44 %. The original charge on the capacitor is (in C ) : (A) 10 (B) 20 (C) 30 (D) 40

Tardigrade Admin · Accepted Answer

U propto q 2 ⇒ q f =1.2 q q f - q =2 ⇒ 1.2 q - q =2 q =10

Q. If the charge on a capacitor is increased by $2 C$ , the energy stored in it increases by $44%$ . The original charge on the capacitor is (in $C$ ) :

10

20

30

40

$U \propto q^{2}$
$\Rightarrow q_{f} = 1.2 q$
$q_{f} - q = 2$
$\Rightarrow 1.2 q - q = 2$
$q = 10$

Q. If the charge on a capacitor is increased by 2C, the energy stored in it increases by 44%. The original charge on the capacitor is (in C ) :

10

20

30

40

U∝q2 ⇒qf​=1.2q qf​−q=2 ⇒1.2q−q=2 q=10

Q. If the charge on a capacitor is increased by $2 C$ , the energy stored in it increases by $44%$ . The original charge on the capacitor is (in $C$ ) :

$U \propto q^{2}$
$\Rightarrow q_{f} = 1.2 q$
$q_{f} - q = 2$
$\Rightarrow 1.2 q - q = 2$
$q = 10$