(a) For a certain circuit, the voltage and current are v(t) [4+12 cos(377t+60°)+6 cos(754t -30°)] V, = i(t) [5+ 10 cos(377t+45°) + 2 cos(754t+15°)] mA. = Determine the average power consumed by the circuit, and the ac power fraction.

Consider the characteristics of alternating current (ac). Find the false statement below. A. Alternating Current is any current that periodically changes direction. B. The graph of an ac source shows the relationship between magnitude and time. C. The frequency of an ac signal refers to the noise on the signal. D. The period of an ac signal is the reciprocal of the frequency. O A. O B O D

1. Define r.m.s. and average value as applied to ac voltage, prove that in pure inductive circuit, current lags behind applied voltage at an angle 90°. (Down waveform) 2. Find the ms value, average value, form factor and peak factor for the waveform shown in figure. (Nagpur University, Summer 2002) (Nagpur University, Winter 2003) i(t) Im T/2 T' 3t 7t 20 20 Im Fig. 11.66

The figure below shows a periodic voltage waveform. Determine:a) Period b) Frequency c) Peak-to-peak value d) The average value

Please solve iv and v.

3. The instantaneous value of an ac circuit at any time t seconds is given by The instantaneous value of current in an AC circuit at any time t seconds is given by i = 50 sin (100zt -0.45) mA. Find the following: (a) periodic time & frequency (b) peak-to-peak current (c) phase angle in degree (d) current when t=0 ms (e) current when t=3 ms

The periodic triangular current having a peak value of 180 [mA] shown below is passing through a 5 [kQ] resistor. Find the average power that this current delivers to the resistor. etc. T/2 –T/4 T/4 T2 3T/4 T

An AC voltage source and a resistor are connected in series to make up a simple AC circuit. If the source voltage is given by AV = AVmax sin(27ft) and the source frequency is 19.0 Hz, at what time t will the current flowing in this circuit be 61.0% of the peak current? 5.922 X Note that the voltage in this AC circuit is a sine function. Did you use the correct units for the argument of the sine function? ms

1. The current in an AC circuit at any time 't' seconds is given by : i = 120sin(1007t +0.36) amperes. Find (a) Peak value (b) Periodic time (c) phase angle relative to i= 120sin(100.r1) (d) the value of the current when t-0; (e) value of the current when t-8 ms.

A cosine wave voltage signal has a 10V RMS value and 60HZ frequency. Also at time, t=0, the value of the voltage signal is equal to its RMS value. Which of the following is the correct mathematical representation of the voltage signal? a) 10 cos(60t) b) 10 cos (120rt) c) 14.14 cos(60t + T/4) d) 14.14 cos(120rtt + Tt/4)