JEE MAIN - Physics (2020 - 2nd September Evening Slot - No. 19)

An ideal cell of emf 10 V is connected in circuit shown in figure. Each resistance is 2 $$\Omega $$. The potential difference (in V) across the capacitor when it is fully charged is ______. JEE Main 2020 (Online) 2nd September Evening Slot Physics - Capacitor Question 99 English
Answer
8

Explanation

JEE Main 2020 (Online) 2nd September Evening Slot Physics - Capacitor Question 99 English Explanation 1

Capacitor is fully charged

So no current is there in branch ADB

$$ \therefore $$ Effective circuit of current flow :
JEE Main 2020 (Online) 2nd September Evening Slot Physics - Capacitor Question 99 English Explanation 2

Req = $$\left( {{{4 \times 2} \over {4 + 2}}} \right) + 2$$

Req = $${4 \over 3} + 2$$ = $${{10} \over 3}\Omega $$

i = $${{10} \over {{{10} \over 3}}}$$ = 3A

So potential different across AEB

= 2 × 1 + 2 × 3 = 8V

Hence potential difference across Capacitor = 8V

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