Solved: The circuit of figure below with 𝑉 𝑠 ( 𝑡 ) = – 6 0 𝑢 ( – 𝑡 ) + 6 0 𝑢 ( 𝑡 ) + 6 0 𝑢 ( 𝑡 – 1 ) [ V ] by following the steps, find the response 𝑉 𝑐 ( 𝑡 ) for 𝑡 ≥ 0 . [ 2 4 pt ]

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The circuit of figure below with 𝑉𝑠(𝑡)=-60𝑢(-𝑡)+60𝑢(𝑡)+60𝑢(𝑡-1) [V] by following the steps, find the response 𝑉𝑐(𝑡) for 𝑡≥0. [24pt]

a. Obtain 𝑉𝑐(0+)and {:𝐼𝐿(0+)*|4𝑝𝑡}

b. Derive 𝑉𝐿(0+)and {:𝐼𝑐(0+)*|4𝑝𝑡}

c. Find the characteristic equation and the form of the response for 𝑉𝑐(𝑡).[4𝑝𝑡]

d. Find the response of 𝑉𝑐(𝑡), exactly for 0≤𝑡≤1.[4pt]

e. Obtain 𝑉𝑐(1+),𝐼𝐿(1+),𝐼𝑐(1+), and 𝑉𝐿(1+)*{4𝑝𝑡}

Find of the response of 𝑉𝑐(𝑡) for 𝑡≥1.|4𝑝𝑡|

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Solved: The circuit of figure below with 𝑉 𝑠 ( 𝑡 ) = – 6 0 𝑢 ( – 𝑡 ) + 6 0 𝑢 ( 𝑡 ) + 6 0 𝑢 ( 𝑡 – 1 ) [ V ] ﻿by following the steps, find the response 𝑉 𝑐 ( 𝑡 ) ﻿for 𝑡 ≥ 0 . [ 2 4 pt ]

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Solved: The circuit of figure below with 𝑉 𝑠 ( 𝑡 ) = – 6 0 𝑢 ( – 𝑡 ) + 6 0 𝑢 ( 𝑡 ) + 6 0 𝑢 ( 𝑡 – 1 ) [ V ] by following the steps, find the response 𝑉 𝑐 ( 𝑡 ) for 𝑡 ≥ 0 . [ 2 4 pt ]

Solved: A uniform ladder stands on a rough floor and rests against a frictionless wall as shown in the figure. 𝑑 = 3 . 7 5 𝑚 above the floor