1- Spectrum of the sinusoidal signals: f(t) = A cos(2лft + 0) Rules: 1. The amplitude is always positive. -A cos 2πfot⇒ A cos(2лfot - 180º) 2. The phase ids always measured from the real axis. A sin 2лfot A cos(2лfot - 90°) 3. If the angular frequency is used (c), the amplitude is multiplied by 2π (a) f(t)=-7 sin(3πt) - 5cos (6πt + 90º) (b) f(t)=-4 sin(106πt) + 8cos (107πt + 170º) (c) f(t)==0(-0.5)" cos[n(wot + 10°)]

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A voltage wave of 250 kHz has a Vmax-5 V and Vmin=-35 V. The duty cycle of this wave is 0.875. This voltage waveform has been applied across a 2.5 µH inductor for a very long time so that steady state has been achieved. Diagrams of the wave parameters and circuit are shown in this figure: L What is the average voltage of this wave? Average voltage = 35 V Voltage (arb, unit) 1.25 Minimum current: -3.5€ Amps 1 0.75 0.5 0.25 0 4.25 05 Have you integrated the wave over full cycle? 4.75 4 -1.25 Vmax 0.5 Vmin What is the average current flowing through the inductor? Average current = 3.56 A 15 Period/s On average, there is no power consumed by the inductor. Have you considered this? What are the maximum and minimum currents that flow through the inductor? Maximum current: 0.50 Amps D= 25 TH TH Have you used the relationship for current and voltage in an inductor? Have you considered the slope of the current wave?

:Converting the following sine function sin(3t - 76°) 184- :to a cosine function will result in the following A cos(3t + BO) ?What is the value of A