Question 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) $400 %$

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Solution

(d) $400 %$

Power (P) $= I^{2} R$
Current is increased by $100 %$
New current = 2I
$P = (2 I)^{2} R = 4 I^{2} R$
Therefore the increase in power dissipation will be $400 %$ .

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Question 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) $400 %$

Q. If the current I through a resistor is increased by

100 %

(assume that temperature remains unchanged), the increase in power dissipated will be:

Q. A resistor of resistance R is connected to an ideal battery. If the value of R is decreased, the power dissipated in the resistor will
(a) increase
(b) decrease
(c) remain unchanged

Q. Current I flowing through a resistor results in a dissipation of power P. By what percentage will the power dissipated in the resistor increase if the current through the resistor is increased by

50 %

. Justify your result with the help of mathematical calculation.

Q. ANSWER THE FOLLOWING QUESTION WITH EXPLANATION
Q. If current through a resistance is increased by 100% simultaneously reducing resistance value to 25%, the new power dissipated will be

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Question 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%

(d) 400% Power (P) =I2R Current is increased by 100% New current = 2I P=(2I)2R=4I2R Therefore the increase in power dissipation will be 400%.

Question 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) $400 %$

(d) $400 %$

Power (P) $= I^{2} R$
Current is increased by $100 %$
New current = 2I
$P = (2 I)^{2} R = 4 I^{2} R$
Therefore the increase in power dissipation will be $400 %$ .