We first find the equivalent resistance seen by the battery. Resistors and combine to give a resistor, which combines to give a resistor, which combines with to give a resistor, which combines with to give a . The current through this equivalent resistor (which is also the current through ) is
We can find the current through and by the current division formula
Similarly, the currents through and are
Therefore, the power dissipated by each resistor is
Therefore, resistor dissipates the most power. Therefore, answer (A) is correct.
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