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A circuit consists of a 500$\Omega$ resistor connected to a variable voltage source. The voltage is increased linearly from o V to 5 V over a period of 20 $\mathrm{s}$ , as shown in the graph above. Which of the following graphs corresponds to the power dissipated by the resistor as a function oftime?IMAGE CANNOT COPY

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Chapter 12

Practice Test 2

Section 1

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Hi in the given problem, voltage applied across the resistor is increasing with the time the resistance is constant. Having a value of 500 homes. But the voltage applied across it is increasing from zero world two, five world over the duration of time. From zero second, two, 20 seconds. No using the expression for the power we square by art. Power dissipated in the circuit. In this resistance at At time equals to zero. Means be not. Will be given by Square of zero world divided by 500 and it will come out to be zero. And at a time of 20 seconds this power will be given us just slide off five volt Divided by 500. Home again. And now the power dissipated will come out to be 0.0 five. What? So the curve between the power and time should be a straight line. But as at the time he developed in the conductor in the resistor will increase, which will increase the resistance. So using the same expression is equal to the square by art. If art is increased, the power dissipated will start decreasing, since the power developed will be less than the value which we have obtained mathematically. Hence the car between the power dissipated and the time. In the beginning it will be a straight line, but over a passage of time it will start going down. Yeah. The power is represented on the why he access and time is represented on the X axis. Here we can assume this power to be 0.05. What at a time of 20 seconds? And here this is zero ward at zero second. So we can say option D. Is correct. Thank you.

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