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Using your three formulas for power, how does the power change if: The voltage i

ID: 1512800 • Letter: U

Question

Using your three formulas for power, how does the power change if:

The voltage is doubled (if you change voltage then something else has to change (according to Ohm's Law), so use the equation where only V is changed).

It will (increase/decrease)_____________ by ________________times

The current is doubled and the resistance is doubled.

   It will (increase/decrease)_________ by _____________times

The voltage is doubled and the resistance is halved.

   It will (increase/decrease)__________ by __________times.

Explanation / Answer

Power = V i or i^2 R or V^2/R

V is Volatge

i is current

R is resistance

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when V is doubled,

POwer P = V^2/R = 4V^2/R

P increases by 4 times

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so if i is doubled and R is doubles , P = (2i)^2 * 2R = 4 i^2 R

ANSWER 2---> It will (increases)_ by 4 times when The current is doubled and the resistance is doubled.

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if Vis doubled and R is halved

P = 4V^2/R/2 = 8 V^2/R

so

It will (increase by 8 times when the voltage is doubled and the resistance is halved.

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