6-18. A sinusoidal current i(t) = 0.1 sin(100) amps is flowing through the RC circuit shown...

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6-18. A sinusoidal current i(t) = 0.1 sin(100) amps is flowing through the RC circuit shown in Fig. P6.18. The voltages across the resistor and capacitor are given by VR()=20 sin(100) V vc(0) -20 cos(1001) V, where I is in seconds. (a) The voltage applied to the circuit is given by v(t) = v(1) + vc(!). Write v(t) in the form v(t) = M sin(1001+ 0); in other words, find M and 0. (b) Suppose now that v(t)=28.28 sin (1001) volts. Write down the amplitude, frequency (in hertz), period (in seconds), phase angle (in degrees), and time shift (in seconds) of the voltage v(f). (c) Plot one cycle of the voltage v(t) = 28.28 sin (1001) and indicate the earliest time (after 1=0) when the voltage is 28.28 V. 6-18. A sinusoidal current i(t) = 0.1 sin(100) amps is flowing through the RC circuit shown in Fig. P6.18. The voltages across the resistor and capacitor are given by VR()=20 sin(100) V vc(0) -20 cos(1001) V, where I is in seconds. (a) The voltage applied to the circuit is given by v(t) = v(1) + vc(!). Write v(t) in the form v(t) = M sin(1001+ 0); in other words, find M and 0. (b) Suppose now that v(t)=28.28 sin (1001) volts. Write down the amplitude, frequency (in hertz), period (in seconds), phase angle (in degrees), and time shift (in seconds) of the voltage v(f). (c) Plot one cycle of the voltage v(t) = 28.28 sin (1001) and indicate the earliest time (after 1=0) when the voltage is 28.28 V.