A capacitor circuit has been charged up to 12V and the instantaneous voltage is ๐ = ๐๐ (๐ โ ๐ โ ๐ ๐)
The tasks are to:
a) Draw a graph of voltage against time for ๐ฃ = 12๐ and ๐ = 2๐ , between ๐ก = 0๐ and ๐ก = 10๐ .
b) Calculate the gradient at ๐ก = 2๐ and ๐ก = 4๐
c) Differentiate ๐ = ๐๐ (๐ โ ๐ โ ๐ ๐) and calculate the value of ๐๐ฃ ๐๐ก at ๐ก = 2๐ and ๐ก = 4๐ .
d) Compare your answers for part b and part c.
e) Calculate the second derivative of the instantaneous voltage ( ๐^2๐ฃ/๐๐ก^2 ).
Given: The equation for instantaneous voltage is
a)
b)
c)
d) The result is the same.
e)
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