3. Consider a Resistor (R) and Capacitor (C) connected in series with a battery with electromotive force E. The equation in terms of the voltage drops (V) in the circuit from Kirchoff's law is given by dV 1 ¹y = - dt RC = 22 RC (a) State the type of differential equation above (b) Given that the capacitor was initially uncharged V(0) = 0, solve the differential above. (c) Deduce the expression for V after a long period of charging (d) Write down the new differential equation if the battery is removed
3. Consider a Resistor (R) and Capacitor (C) connected in series with a battery with electromotive force E. The equation in terms of the voltage drops (V) in the circuit from Kirchoff's law is given by dV 1 ¹y = - dt RC = 22 RC (a) State the type of differential equation above (b) Given that the capacitor was initially uncharged V(0) = 0, solve the differential above. (c) Deduce the expression for V after a long period of charging (d) Write down the new differential equation if the battery is removed
Related questions
Question
Transcribed Image Text:3. Consider a Resistor (R) and Capacitor (C) connected in series with a battery
with electromotive force E. The equation in terms of the voltage drops (V) in the
circuit from Kirchoff's law is given by
dv
+ V
dt RC
E
RC
(a) State the type of differential equation above
(b) Given that the capacitor was initially uncharged V(0) = 0, solve the
differential above.
(c) Deduce the expression for V after a long period of charging
(d) Write down the new differential equation if the battery is removed:
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 9 images
