The current follows in a charging inductor I(t) at time t seconds is given by: i(t) = 1,(1– e) mA Where I, is the supply current and t= 30. 1. Evaluate the following i. The current flows in the inductor up to 3 significant figures after 24 seconds if the supply current I, = 75 mA The time t to 3 significant figures taken for current flows in the inductor to reach 40 mA if the supply current I, remains at 75 mA. ii. 2. Find an equation for the energy and evaluate it when L= 10 mH.

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Chapter1: Units, Trigonometry. And Vectors
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c) The current follows in a charging inductor I(t) at time t seconds is given by:
i(t) = 1,(1- e i) mA
Where I, is the supply current and t= 30.
1. Evaluate the following
The current flows in the inductor up to 3 significant figures after 24 seconds
if the supply current I, = 75 mA
The time t to 3 significant figures taken for current flows in the inductor to reach 40
mA if the supply current Is remains at 75 mA.
i.
ii.
2. Find an equation for the energy and evaluate it when L= 10 mH.
d) The generated voltage of a turbine at timet seconds is given by:
v(t) = Vssin(0.4nt +)
Where Vs is generator voltage in Volts.
Evaluate the following:
iii.
The voltage of the generator after 2.5 seconds if Vs = 70 V.
The voltage at time t = 0 seconds to 3 significant figures
The time when the generator first reaches maximum voltage, the period, the
frequency, and the time displacement.
iv.
v.
Your answer to this part of the task should be supported by suitably annotated graphical
evidence to help understanding by a non-technical audience.
e) If the cable of this generator has a shape of the form:
y = 70cosh(x/55)sinh²(-) m.
Provide fully explained solutions to the following:
The value of y when x = 10 to 3 significant figures
The value of x when y = 40 to 3 significant figures
Provide fully explained graphical evidence to show justify your answers to part (ii)
vi.
vii.
viii.
Transcribed Image Text:c) The current follows in a charging inductor I(t) at time t seconds is given by: i(t) = 1,(1- e i) mA Where I, is the supply current and t= 30. 1. Evaluate the following The current flows in the inductor up to 3 significant figures after 24 seconds if the supply current I, = 75 mA The time t to 3 significant figures taken for current flows in the inductor to reach 40 mA if the supply current Is remains at 75 mA. i. ii. 2. Find an equation for the energy and evaluate it when L= 10 mH. d) The generated voltage of a turbine at timet seconds is given by: v(t) = Vssin(0.4nt +) Where Vs is generator voltage in Volts. Evaluate the following: iii. The voltage of the generator after 2.5 seconds if Vs = 70 V. The voltage at time t = 0 seconds to 3 significant figures The time when the generator first reaches maximum voltage, the period, the frequency, and the time displacement. iv. v. Your answer to this part of the task should be supported by suitably annotated graphical evidence to help understanding by a non-technical audience. e) If the cable of this generator has a shape of the form: y = 70cosh(x/55)sinh²(-) m. Provide fully explained solutions to the following: The value of y when x = 10 to 3 significant figures The value of x when y = 40 to 3 significant figures Provide fully explained graphical evidence to show justify your answers to part (ii) vi. vii. viii.
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