In the given circuit, charge Q2 on the 2\muF capacitor changes as C is varied from 1\muF to 3\muF. Q2 as a function of ‘C’ is given properly by (figures are drawn schematically and are not to scale)

  • Option 1)

  • Option 2)

  • Option 3)

  • Option 4)

 

Answers (2)

As we learnt in 

Direction of Electric field -

Due to Positive Charge electric field is always away from the charge.

-

 

 

Direction of Electric field -

 

Due to Negative charge electric field is always towards the charge.

-

 

 \frac{1}{C_{eq}}= \frac{1}{(1+2)} + \frac{1}{C}= \frac{1}{C}+\frac{1}{3}

C_{eq}= \frac{3C}{C+3}

Total charge in the circuit 

Q=C_{eq}E= \frac{3CE}{C+3}

Q_{2}= \frac{2}{3}Q= \frac{2}{3}\times \frac{3CE}{C+3}= \frac{2CE}{C+3}\ or\ Q_{2}= \frac{2E}{1+\frac{3}{C}}

and \frac{\partial Q_{2}}{\partial c}=\frac{6E}{(C+3)^{2}}

As C increases,  Q_{2} increases and slope of Q_{2}  -C curve decreases. Hence, Graph (d) represents the correct variation. 


Option 1)

Incorrect option

Option 2)

Correct option

Option 3)

Incorrect option

Option 4)

Incorrect option

Most Viewed Questions

Preparation Products

Knockout JEE Main 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout JEE Main 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Test Series JEE Main 2021

Chapter/Subject/Full Mock Tests for JEE Main, Personalized Performance Report, Weakness Sheet, Complete Answer Key,.

₹ 6999/- ₹ 2999/-
Buy Now
Knockout JEE Main 2022

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Live Classes(Classes will start from Last week of September), Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 34999/- ₹ 24999/-
Buy Now
JEE Main Rank Booster 2021

Booster and Kadha Video Lectures, Unlimited Full Mock Test, Adaptive Time Table, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions