12. If the Current I through a resistor is increased by 100% (assume that temperature remains unchanged), the increase in power dissipated will be
(a) 100%
(b) 200%
(c) 300%
(d) 400%
IN THE ABOVE QUESTION, PLEASE EXPLAIN WHY WE USED THE FORMULA P=I²R INSTEAD OF P=VI.
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Answers
Answer:
c) 300%
Explanation:
Let original value of current be I amperes
The new value of current becomes I + (100% of I) = I + I = 2I
So the new value of power dissipated = (2I)²R = 4I²R = 4P
The original value of power dissipated was P
So the change in power dissipated = 4P - P = 3P
In terms of %, it comes out to a % change of 300%
Hence, increase in power dissipated will be 300%
Note: We use P = VI when voltage is constant through the resistor and we use P = I²R when the current is constant through the resistor. Since here there is no mention of the voltage, but there is a mention of current, we use this formula for the power dissipated.
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Answer:
option C). 300%
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