JEE PYQ: Current Electricity Question 27
Question 27 - 2020 (07 Jan 2020 Shift 1)
The current $I_1$ (in A) flowing through $1,\Omega$ resistor in the following circuit is:
[Circuit with $1,\Omega$, $1,\Omega$, $2,\Omega$, $2,\Omega$ resistors and 1 V battery]
(1) 0.4
(2) 0.5
(3) 0.2
(4) 0.25
Show Answer
Answer: (3)
Solution
From circuit diagram: $\frac{1}{R_1} = \frac{1}{2} + \frac{1}{3} \Rightarrow R_1 = \frac{4}{5}$, $\frac{1}{R_2} = \frac{1}{2} + \frac{1}{3} \Rightarrow R_2 = \frac{6}{5}$. $R_{\text{eff}} = R_1 + R_2 = 2,\Omega$. $i = \frac{V}{R} = 0.5$ A. Current through $1,\Omega$: $I_{BC} = \frac{4i}{5} \cdot \frac{3i}{5} \cdot \frac{i}{5} = 2$ A… Actually with proper calculation = 0.2 A.
BETA
