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A capacitor with an initial potential difference of 100 V isdischarged through a resistor when a switch between them is closed at t ! 0.At t ! 10.0s,the potential difference across the capacitor is 1.00V. (a) What is the time constant of the circuit? (b)What is the potential difference across the capacitor at t ! 17.0s?

A capacitor with an initial potential difference of 100 V isdischarged through a resistor when a switch between them is closed at t ! 0.At t ! 10.0s,the potential difference across the capacitor is 1.00V. (a) What is the time constant of the circuit? (b)What is the potential difference across the capacitor at t ! 17.0s?

Answer:(a). The time constant of the circuit is 2.17.(b). The potential difference across the capacitor at t=17.0 s is 0.0396 V.Explanation:Given that,Initial potential difference = 100 VPotential difference across the capacitor = 1.00 V(a). We need to calculate the time constant of the circuitUsing formula of potential differencePut the value into the formulaOn taking ln(b). We need to calculate the potential difference across the capacitor at t=17.0 sUsing formula againHence, (a). The time constant of the circuit is 2.17.(b). The potential difference across the capacitor at t=17.0 s is 0.0396 V....

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