In a series RC circuit, R = 5 ohms, C = 0.01 Farad, and E = 100 volts. When t = 0, i = 0. Find the charge at any time t. APPLY THE LAWS OF FIRST ORDER LINEAR DIFFERENTIAL EQUATION

Q4.      The equation relating the current in a circuit with time is i=282.1 sin377t, where the current is measured in amperes and the time in seconds. Find the values of: The r.m.s current  The frequency  The instantenous value of the current when t=2.0ms

3-10 A0.25-F capacitor has a current waveform i(t) as shown in Figure P3–10. Determine and plot the voltage waveform v(t) as a function of time. The capacitor is initially a and plot the voltage waveform v(t) as a function of time. The capacitor is imu uncharged. FIGURE P3-10 ilt) 4 A 6. -4 A

4. Why do we examine the behavior of an inductor when the current through it is changing? 5. What is the definition of the time constant? The definition of the time constant is I

A battery is used to charge a capacitor through a resistor as shown in the following figure. After the switch is closed the energy supplied by the batteryis E. Find the Joule heat produced in the resistor and the energy which is stored in the capacitor.