current flowing through a resistor results in dissipation of power P. by what % will the power increase if current is increased by 50%. Show with calculations
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if current increases by 100% then power increases by 300%
so, if current increases by 50%then power will increase by 150%
so, if current increases by 50%then power will increase by 150%
pragx:
there is a long derivation of this question so remember only 100% case
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Answer:
Let the original value of current is I ampere.
The new value of current I′=I+100%I=2I.
Now, the new power P′=I′2
R=4I
R=4P.
So, the change in power = P′−P=3P
Therefore, the change in power in terms of percentage is 300%.
Hence, the increase in power dissipated will be 300%.
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