JEE Advance - Physics (2012 - Paper 1 Offline - No. 15)
For the resistance network shown in the figure, choose the correct option(s).
The current through PQ is zero.
I1 = 3A.
The potential at S is less than that at Q.
I2 = 2A.
Explanation
Due to symmetry on upper side and lower side, points P and Q are at same potentials. Similarly, points S and T are at same potentials. Therefore, the simple circuit can be drawn as shown below :
$${I_2} = {{12} \over {2 + 2 + 2}} = 2A$$
$${I_3} = {{12} \over {4 + 4 + 4}} = 1A$$
$$\therefore$$ $${I_1} = {I_2} + {I_3} = 3A$$
IPQ = 0 because VP = VQ
Potential drop (from left to right) across each resistance is
$${{12} \over 3} = 4V$$
$$\therefore$$ $${V_{MS}} = 2 \times 4 = 8V$$
$${V_{NQ}} = 1 \times 4 = 4V$$
or, $${V_S} < {V_Q}$$
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