A voltage waveform from a circuit under test, that you are displaying on an oscilloscope, looks as follows: Engineering Maths Assignment, UK

Task 1:
Note: You need to have your calculator in radians (RAD) mode for this task (since the angles are given in radians – i.e., π is featured).
a) A voltage waveform from a circuit under test, that you are displaying on an oscilloscope, looks as follows:

Taking measurements from the oscilloscope display above, determine 𝑉𝑉𝑝𝑝, 𝑓𝑓, 𝑎𝑎𝑎𝑎𝑎𝑎 ∅, and insert those values into the above equation.

Now rearrange your new equation to make the time t, the subject of this formula and hence determine, to within 3 decimal places, the first point in time when the voltage waveform has a magnitude of 5.25 volts.

b) The instantaneous value of the electric field vector close to a radio transmitter at a particular moment in time may be described by:

E = 250∠� 3π 4 � [𝑉𝑉/𝑚𝑚]

Find the magnitude of the vertical and horizontal components of this field vector.
Note that the symbol ∠ indicates ‘angle’. Provide a hand-drawn sketch of the electric field vector and its two components, on a set of Cartesian axes.

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