The voltage in a circuit, expressed in Laplace domain, is given by the questions below.a.V(s) = 5/(s(2s+3) (s+2)).Find v(t) by first performing a partial fraction expansion and then inverting back to time domain using Laplace tables. b.Determine the numerical value of v(t) at t= 1 second. 3
c.The voltage in a circuit, expressed in Laplace domain, is given by V(s) = 5/(2+2s+5). Find v(t) using Laplace tables. s d.Determine the numerical value of v(t) at t = 1 second. 4
5.An RLC circuit is shown below. There is an initial voltage of 5 V on the capacitor, with polarityas marked in the circuit. The switch is closed at t= 0 and a current i(t) is assumed to flow clockwise. Write the integral-differential equation of this circuit using Kirchoff’s method (sum of all voltages around a loop is zero). Apply Laplace transform as outlined in the lecturefor Week 2 and in the document “Solving RC, RLC, and RL Circuits Using Laplace Transforms” (located in Doc Sharing) and write i(s) in Laplace transform notation. Express the 5
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- Summer '14
- Laplace, RC circuit, RL circuit, LC circuit