See attached file for full problem description. Please answer only question 1.2© BrainMass Inc. brainmass.com September 23, 2018, 1:57 pm ad1c9bdddf - https://brainmass.com/engineering/power-engineering/variation-voltage-across-capacitor-113555
Please see attached file.
150nF V(t) 4 5V
-4 -2 2 4 6
a) Charge Q on a capacitor, its capacitance C and the voltage V across it are related as :
Q = CV
Current flowing through the capacitor is equal to the rate of change of charge Q.
I(t) = dQ/dt = C dV/dt .............(1)
Thus, current flowing during different time intervals is calculated using (1) as follows :
i) Upto t = -2 μsec : The voltage is constant at -4 V. Hence, dV/dt = 0. From (1), I(t) = 0
ii) t = -2 μsec to t = 4 μsec : Change in voltage = 4 V and change in time = 6μsec = 6x10-6 sec
dV/dt = 4/(6x10-6)
From (1) I(t) = 150 x 10-9 x 4/(6x10-6) = 0.1 A
iii) t = 4 μsec to t = 5 μsec : Change in voltage = 5 ...
Step by step solution provided which includes graphical representation of the current through the capacitor and power flowing through it.