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In the graph shown below, which one of the following expresses v(t)?
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- (2t + 6) [u(t – 3) + 2u(t – 4)]
- (– 2t – 6) [u(t – 3) + 2u(t – 4)]
- (– 2t + 6) [u(t – 3) + u(t – 4)]
- (2t + 6) [u(t – 3) + u(t – 4)]
Correct Option: D
Slope of the given wave = 2/1
Equation of triangular wave which cuts at point-6 on the y axis is r(t) = (2t – 6) u(t)
Therefore, the expression of v(t) can be expressed as
v(t) = (2t – 6) u(t – 3) – (2t – 6) u(t – 4)
or
v(t) = (2t – 6) [u(t – 3) – u(t – 4)]