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Q.

A variable current flows through a 1  Ω resistor for 2 s. Time dependence of the current is shown in the graph 

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a

Average current through the resistor is 5 A

b

Total heat produced in the resistor is 50 J

c

Total charge flowing through the resistor is 10 C

d

Maximum power during the flow of current is 100 W

answer is A, B, D.

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Detailed Solution

Total charge I  dt= Area under the curve = 10 C

Average current =I  dtdt=5  A

Total heat produced I2  dt

02(5t+10)21dt=2003J

Maximum power =I2R when I is maximum current =100×1=100  W

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A variable current flows through a 1  Ω resistor for 2 s. Time dependence of the current is shown in the graph