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Need an argumentative essay on Charging and Discharging Capacitors. Needs to be 8 pages. Please no plagiarism.b) The value of the charging current at the same instant:Since, I = = = 0.42625 amps = 426
Need an argumentative essay on Charging and Discharging Capacitors. Needs to be 8 pages. Please no plagiarism.
b) The value of the charging current at the same instant:
Since, I = = = 0.42625 amps = 426.25 mille-amperes
c) The time constant value of the circuit.
As already calculated in (a) time constant: = RC = 40 x x F = .480
Question 2: . A 20 microfarads capacitor is charged to 400 volts. At t = 0, a resistor of 12 kilo-ohms is connected across the capacitor.
a) Calculate the voltage remaining across the capacitor after 180 milliseconds.
In this case the capacitor is being discharged and the voltage drops from the maximum at t=0 to almost 0 when the discharge is complete. The drop is exponential as per Kirchoff's Voltage Rule. This time the voltage at time t is = = {}(for a differentiating circuit).
The time constant for this circuit is:
= RC = 12 x x F = .240
Therefore, voltage across the capacitor after 180 milliseconds:
= {} = 400{} = 400{.472} = 188.8 V
d) Calculate the discharge current at 180 milliseconds.
Since, I = = = 0.0176 amps = 17.6 mille-amperes
e) Calculate the time taken for the voltage to fall to 36.8% of its initial value.
From the initial relationship: = {} it is derived:
= .368, or = .368 t = = .24s
The time taken by the voltage to fall to 36.8 % of its initial value is the time constant itself.
Question 3: A coil having an inductance of 2.5 henrys and a resistance of 40 ohms is switched on to a 60 volt d.c. supply at t = 0.
a) Calculate the value of the steady state current ultimately reached.
The time constant in this case for inductance is: = = = .0625
Therefore, I = {1 - }= {1 - } = x .9933 = 1.49 amps
b) Calculate the value of the current when t = 30 mille-seconds.
Therefore, for the same circuit,
I = {1 - } = {1 - }= .