a. If the current I through a resistor is increased by 100%, the increase in power dissipated will be?
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Explanation:
When a current I is flowing through a resistor of resistance R , the power dissipated across it can be calculated as P=I2R .
Hence, on increasing the current by 100% , the power dissipated across the resistor increases by 300% which corresponds to (C).
Hence, on increasing the current by 100% , the power dissipated across the resistor increases by 300% which corresponds to (C). Hence, the correct option is option (C).
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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′^2R = 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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