The differential equation for voltage across a capacitor in a DC input RC circuit is given...
The differential equation for voltage across a capacitor in a DC input RC circuit is given
as:
????+??(?)=?? ???? ?(?)=?
a) Solve for the complete solution of the differential equation.
b) At what time the voltage v(t) is 5 volts?
c) At what time the voltage v(t) is 20 volts? Must Show All Work
Homework Answers
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The differential equation for voltage across a capacitor
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1) RC Circuits: (15 pts) (a) Use Kirchhoff's voltage law (KVL) to obtain an ordinary differential equation (ODE) describing the charge vs. time function (t) for a capacitor in the discharging RC circuit shown below. Assume that at time t = 0 (right before the switch is closed) the voltage across the capacitor is V = V.. R R W W V. с v(t) с t = 0 t> 0 Fig. 1. Fully charged RC circuit Fig. 2. Discharging RC...
In the RC circuit shown, the capacitor is initially charged to 10 volts, and the switch closes at time t=0. The voltage across the capacitor can be described by the equation Vc(t) given below for time t>=0 (greater than, or equal to, O). Determine V_1 and V_2 for this equation. R=100KR C=o.lMF I capacitor initially I charged to 10 volts V(t) = V₂ + (VZ-V4) e ERC for tzo
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