A potential V 0 is applied across a uniform wire of resistance R. The power dissipation is P 1 . The wire is then cut into two equal halves and a potential of V 0 is applied across the length of each half. The total power dissipation across two wires is P 2 . The ratio of P 2 : P 1 is 
: 1. The value of x is_____.
Text Solution
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(16)
The formula to calculate the power dissipated in the first case can be written as
When the wire is halved, its resistance will also become half the previous value.
Thus, the formula to calculate the power dissipated in the second case can be written as
Divide equation by equation to calculate the required ratio.
= 4 
Hence, x = 16
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