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JEE Advanced 2021Paper 1
Exam
JEE Advanced
Year
2021
Paper
Paper 1
Subject
Physics
Chapter
Capacitance

JEE Advanced 2021 · Paper 1 · Physics · Capacitance

In the circuit shown below, the switch S is connected to position P...

In the circuit shown below, the switch S\mathrm{S} is connected to position P\mathrm{P} for a long time so that the charge on the capacitor becomes q1μCq_{1} \mu \mathrm{C}. Then S\mathrm{S} is switched to position Q\mathrm{Q}. After a long time, the charge on the capacitor is q2μCq_{2} \mu \mathrm{C}.
In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor
The magnitude of q1{q}_{1} is _______.

Correct answer

0

Step-by-step solution

When SS is connected to PP,
In steady state,

In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor

i=2−12+1i = \dfrac{2 - 1}{2 + 1}

⇒i=13A⇒ i = \dfrac{1}{3}A

Now,

Charge on capacitor,

q=CVq = CV

⇒q=(1μF)(43V)⇒ q = \left(1\mu F\right)\left(\dfrac{4}{3}V\right)

⇒q=43μC⇒ q = \dfrac{4}{3}\mu C

⇒q=1.33μC⇒ q = 1.33\mu C

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