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Assuming that one used the same heating coil and that its resistance did not change, by...

Assuming that one used the same heating coil and that its resistance did not change, by what factor (in percentage) would the power be increased if the voltage were increased by 55 %? Give your answer as a whole number.

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Answer #1

We now that the power is given by

Now,

The coil and the resistance will remain same but the voltage is increase by 55%.

Let assume that the previous voltage is 100Volts

therefore the new voltage is = 155 volts

thus the Final power becomes

eq- 1

and the initial power is  

eq-2

by dividing equation 1 by eq -2 we get

or

To find the % increase in the initial power, we just have to multiply both sides with 100

which gives us

Hence increase in power is

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