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Write a program that calculates the capacitor voltage after the switch is closed. The capac- itor...
What is the voltage across the capacitor immediately after the switch S is closed? At that instant, what current flows out of the battery? 100 10.02 12.0 V' C= 1.5uF ২9.02 5.0 )
5) For the RLC circuit, assume that the capacitor is initially charged and after the switch is closed, show that the differential equation for the current is: d1 Rd 1 dt Ld LC (Hint: Start by writing voltages for each component VR, VL & Vc, and add them to zero (using Kirchhoff's voltage rule) then differentiate).
For the circuit shown, find the following: a) v(0+), the voltage across the capacitor right after the switch closes. b) v), the voltage across the capacitor after the switch has been closed for a long time. c) v(T), the voltage across the capacitor after one time constant. 2. 3 S2 I(t) 12 V+ 6 Ω 0.5 F u(t) 3. For the circuit above, write the differential equation for t > 0.
Initially the capacitor is uncharged, but after the switch is closed, it quickly starts charging. (a) UsingKirchhoff’sLaws,writedownadifferentialequationfor?(?). ______ / 20 (b) Using the method “separation of variables” to solve the differential equation of part (a), and show that the solution can be written as ?(?) = ?????1 − ???/?? (c) Determine an expression for time constant ? in terms of ?, ??, ??, and ?. (d) Determine an expression for ???? in terms of ?, ??, ??, and ?. (e)...