Q1- An AC voltage is given below: V(t)=10+20cos(314t) Please find the average and RMS values of V(t) ?

To find the average and RMS values of the given AC voltage , we can use the following formulas:1. Average value:The average value of a periodic waveform over one complete cycle is given by the formula: where is the period of the waveform.In this case, the period can be found from the angular frequency as: where rad/s.Substituting the given expression for , we can calculate the average value as: Solving the integral, we get: Since , the average value simplifies to: V2. RMS value:The RMS (Root Mean Square) value of a periodic waveform is given by the formula: Substituting the given expression for , we can calculate the RMS value as: Solving the integral, we get: Since , the RMS value simplifies to: VTherefore, the average value of is 10 V, and the RMS value of is also 10 V.