The voltage across a 27-4F capacitor is given by the following function of time. V(t) =...
For charging process, the voltage across the capacitor as a function of time is given by, Vc = [1 - exp(-t/)]. (a) When the time is twice the time constant, what percentage of the maximum voltage is on the capacitor? (b) Find the time it took, in terms of the time constant, for the voltage across the capacitor to be 30% of the maximum voltage. Resistor 1000 Ohms Capacitor 1 Farad Power Supply set to 6 Volts
The graph below shows the voltage across a 27 μF capacitor vs.
time. Find the current (ix), the power delivered (px) and the
energy stored (wx) at time tx = 15 s.
The graph below shows the voltage across a 27 μF capacitor vs. time. Find the current (W, the power delivered (px) and the energy stored (wa) at time 4-15 s. 30 14 t 19 t(s) | p,- wx = -50 PMcL Version 2.0.0
QUESTION 2 Given the voltage across a 10 uF capacitor is v. = 200.t find the capacitor current (ic). ic = mA
citor i Voltage and current as a function -10 of time. b. Find and plot the instantaneous power pl) on the capacitor. c. Find and plot the instantaneous energy wit stored on the capacitor. ce of V. d plot The voltage across a capacitor with capacitance of 50 aF is given by 6.8 nce of i) V. and f time. -20, 0sI<S 40-300, 5SI<10 6.10 (1) -10r+200, 10 sI<20 0, otherwise ance 000) This waveform is shown in Figure P6.8....
Question 4 [15 Marks) a. The voltage, v(t), across a capacitor varies with time, t, according to v(t) = 2e-2t + 6 Calculate the average rate of change of the voltage from t = 1 to t = 2 b. Calculate the rate of change of y(x) = x2 + 2x when x = -5, without using the table of derivatives. C. Evaluate the following derivatives with the help of the table i. y = 2 tan+ y = 3x...
Problem 3: Find the voltage v,f) across the capacitor as a function of time for i> 0 for the circuit below. Assume steady-state conditions exist at r D t-0 10Ω ЗА
For the circuit shown, find the following: a) v(0+), the voltage across the capacitor right after the switch closes. b) v), the voltage across the capacitor after the switch has been closed for a long time. c) v(T), the voltage across the capacitor after one time constant. 2. 3 S2 I(t) 12 V+ 6 Ω 0.5 F u(t) 3. For the circuit above, write the differential equation for t > 0.
The initial voltage across the capacitor is 0 V. At time t=0, the switch is closed a) What is the time constant for this circuit? b) What is the final voltage across the 50 capacitor? c) What is the expression for the voltage across the 50 capacitor? d) Sketch the waveform for . e) What is the maximum instantaneous current that will flow through the capacitor? f) When will the voltage reach 5.0 V?
Given the voltage across a 10 uF capacitor is Vc 200-t find the capacitor current (c). ic mA QUESTION 3 Given the voltage across a 10 mH inductor is VL = 5V. Assuming the inductor current is zero at time zero, find the current at 4 ms.
9. For the given circuit, if the initial voltage across the capacitor is vc(0*) = 0, find an expression for the voltrage across the capacitor as a function of time and graph voltage versus time. R= 100 k2 w v=100 V uc) C = 0.01 uF 10. If a 100-F capacitance is initially charged to 1000V and at t=0, it is connected to a 1-ka resistance, at what time has 50 percent of the initial energy stored in the capacitance...