Chapter 4, Problem 4.49P

Consider the circuit shown inFigure P4.49. The voltage source is known as a ramp function, which is defined by

Figure P4.49

Assume that $v_C\left(0\right)=0$ . Derive an expression for $v_C\left(t\right)$ for $t\ge 0$ . Sketch $v_C\left(t\right)$ to scale versus time [Hint: Write the differential equation for $v_C\left(t\right)$ and assume a particularsolution of the form $v_{C_P}\left(t\right)=A+Bt$ .]