Homework SourseThe charge q on a capacitor in a circuit containing a capaci
The charge q on a capacitor in a circuit containing a capacitor of capacitance C, a resistance R, and a source of voltage E, is given by q = CE(1-e^-t/RC). Show that this equation satisfies the equation R dq/dt+q/C=E. Please show how you got the answer, thankyou
Solution
\\(dq/dt = -(-CEe^{-t/RC})/RC\\) \\(q/C = CE - CEe^{-t/RC} \\(Rdq/dt = Ee^{-t/RC}\\) Hence, \\(R dq/dt+q/C=E\\)
