For the circuit shown in the figure, all the three batteries are ideal. Match the column
Column-I Column-II
(A) The value of R such that current through 3 V battery is zero. (p) $1 Ω$
(B) The value of R such that current through 1 V battery is zero. (q) $2 Ω$
(C) The value of R such that current current through 2 V battery is zero (r) $3 Ω$
(D) The value of R for which current through 3 V battery is 5/8 A (s) Not possible for any value of R

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

$(A) \to q; (B) \to q; (C) \to p; (D) \to s$

$(A) \to s; (B) \to s; (C) \to s; (D) \to p$

$(A) \to s; (B) \to s; (C) \to p; (D) \to q$

$(A) \to p; (B) \to p; (C) \to q; (D) \to s$

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Let current through various branches is as shown in the figure.
Question Image
$\begin{array}{l} i_{1} + i_{2} + i_{3} = 0... (i) \\ V_{A} - V_{B} = V_{D} - V_{C} = V_{E} - V_{F} \\ 1 - 1 i_{1} = 2 - i_{2} = 3 - R i_{3} .... (i i) \end{array}$
$\begin{array}{l} F r o m E q s . (i) a n d (i i), w e g e t \\ i_{1} + \frac{2 - 1 + i_{1}}{2} + \frac{3 - 1 + i_{1}}{R} = 0 \Rightarrow i_{1} = \frac{- (R + 4)}{3 R + 2} \\ A g a i n f r o m E q s . (i) a n d (i i), w e g e t \end{array}$

$\begin{array}{l} \frac{2 i_{2} - 1}{1} + i_{2} + \frac{1 - 2 i_{2}}{R} = 0 \Rightarrow i_{2} = \frac{R - 1}{3 R + 2} \\ N o w i_{3} = - i_{1} - i_{2} = \frac{5}{3 R + 2} \end{array}$
i. Current i3 cannot be zero
ii. Current i1 cannot be zero
iii. $i_{2} = 0 \Rightarrow R = 1 Ω$
iv. $i_{3} = \frac{5}{8} \Rightarrow \frac{5}{3 R + 2} = \frac{5}{8} \Rightarrow R = 2 Ω$

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Column-I	Column-II
(A) The value of R such that current through 3 V battery is zero.	(p) $1 Ω$
(B) The value of R such that current through 1 V battery is zero.	(q) $2 Ω$
(C) The value of R such that current current through 2 V battery is zero	(r) $3 Ω$
(D) The value of R for which current through 3 V battery is 5/8 A	(s) Not possible for any value of R