00:04
The question here is the output voltage of an ac generator is given by delta v is equal to 115 volts multiplied by 10 multiplied by pi multiplied by the time t.
00:21
The generator is connected across a 19 oom resistor.
00:26
Question a, by inspection what is the maximum voltage? question b, by inspection what is the frequency? question c, find the rms voltage across the resistor.
00:37
Question d, find the rms current in the resistor and so on.
00:42
So here it is given that there is a resistance of 19 ome across a ac generator.
00:51
And the output voltage, delta v, is given by the equation 150 volts multiplied by sine of 80 pi, multiplied by by t now we can see that this equation this equation resembles the equation of the voltage that is v is equal to v0 which is the voltage at any given time and v0 is the maximum voltage multiplied by sine of omega t where omega is equal to 2 pi multiplied by by the frequency f.
01:39
So if we just compare the values over here, you can see that the maximum voltage v0 is equal to 150 volts.
01:51
So if you look at the question number one, what is the maximum voltage? so for question number one, sorry, for question number one, the maximum voltage v0 is equal to 150 volts.
02:12
So this is the answer to the answer to the answer.
02:13
For the first question.
02:15
Now, the second question asks us to find out the frequency.
02:21
So in second, we need to find the frequency.
02:24
So frequency f.
02:26
So we know that omega is equal to 2 pi multiplied by the frequency f.
02:32
So frequency f is equal to omega by 2 pi.
02:37
So here, in this equation, we can see that the value of omega is equal to 80 pi so we can write it here omega is equal to 80 multiplied by pi so frequency f will be equal to we just substitute the values here so 80 pi divided by 2 pi so if we just calculate this we'll get the answer which is frequency f as 40 thirds so this is the answer so this is the required answer for the second question.
03:18
Now in the third question we need to find the rms voltage.
03:23
So for the third question we need to find the rms voltage that is vrms.
03:32
So we know the formula for v rms which is the maximum voltage v0 multiplied by root 2 divided by 2.
03:42
So the maximum voltage which we have got in question number 1, is 150 multiplied by root 2 divided by 2.
03:52
So if we just calculate this, we'll get vrms is equal to 106 .1 volts.
04:02
So this is the required rms voltage...