7B Practice QuizExponential Change this is a former quiz1Shown to the right is an electric circuit made up of a capacitor a resistor and aswitchWhen the switch is closed at t0 there is a clockwise current in the circuitThe voltage across the resistor V is measured as a function of time and the result isRshown on the graph below the circuitaFor two times t02 s and t15 s estimate the rate of change dVdt of theRvoltage across the resistor and show that the rate of change is approximately roundyour numbers to 1 digit proportional to the voltage itself16The slope at t02s looks to be aboutV Volts14115V075s2Vs which is about 2s Rtimes the voltage at that point The slope at 12t15s looks to be about 04V2s02Vs 11which is also about 2s times the voltage at 08that pointbWithout using any equations briefly explain why VR06decreases as time passes04As the charge drains from the capacitor the voltage 02difference which is proportional to the charge on it across it diminishesThe voltage drops around the full 0circuit sum to zero so as the voltage difference across the 005115225capac

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