The figure below shows a circuit containing an electromotive force, a capacitor with a capacitance of C farads (F), and a resistor with aresistance of R ohms (N). The voltage drop across the capacitor iswhere Q is the charge (in coulombs), so in this case Kirchhoff's lawgives= E(t).RI +do(see this example), so we havedtBut I =+2 = E(t).dtSuppose the resistance is 5 N, the capacitance is 0.05 F, a battery gives a constant voltage of 40 V, and the initial charge is Q = 0 C.EFind the charge Q (in C) at time t.Q(t) =Find the current I (in A) at time t.I(t) =A

The figure below shows a circuit containing an electromotive force, a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (2). The voltage drop across the capacitor is 2, where Q is the charge (in coulombs), so in this case Kirchhoff's law gives E(t). RI + But I = dQ (see this example), so we have dt dQ 응= E(t). dt Suppose the resistance is 5 2, the capacitance is 0.05 F, a battery gives a constant voltage of 40 V, and the initial charge is Q = 0 C. E) R Find the charge Q (in C) at time t. Q(t) = Find the current I (in A) at time t. I(t) = A

The figure below shows a circuit containing an electromotive force, a capacitor with a capacitance of C farads (F), and a resistor with a resistance of R ohms (2). The voltage drop across the capacitor is 2, where Q is the charge (in coulombs), so in this case Kirchhoff's law gives E(t). RI + But I = dQ (see this example), so we have dt dQ 응= E(t). dt Suppose the resistance is 5 2, the capacitance is 0.05 F, a battery gives a constant voltage of 40 V, and the initial charge is Q = 0 C. E) R Find the charge Q (in C) at time t. Q(t) = Find the current I (in A) at time t. I(t) = A