1- show that the dimension of RC is a time? 2-why would one connect capacitors i

Question

1- show that the dimension of RC is a time? 2-why would one connect capacitors in series? 3- why would one connect capacitors in parallel? 4- In term of it's half- life, how long does it take for a charged capacitor to lose 99% of its initial charge? 5-In term of it's half- life, how long does it take for a charged capacitor to gain 99% of its final charge? 6- when does the maximum current occur for a discharging capacitor? 7-when does the maximum current occur for a charging capacitor? 8- describe the discharge of a fully charged capacitor through a resistor?

Explanation / Answer

I2=I1 e^(-t/CR) where I1=initial charge, I2=final charger, C=capacitance, R=resistance 9.00 = 30.0e^[-t/(10.0*1.70)] ln e^[-t/(10.0*1.70)] = ln (9/30) -t/17 = ln (3/10) t = -17ln(3/10) t = 20.4675s

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