The generator at a large power plant has an output of...

The generator at a large power plant has an output of 1,900,000 kW at 28,000 V. (a) If it were a DC generator, what would be the current in it? A (b) What is its energy output each day—in joules and in kilowatt-hours? J

Transcript

00:01 Hello student in this question we have given the power of generator is this this is a generator power at voltage of 26 ,000 volts then the first part is asking us find the current in the generator and the second part is asking us find the energy in jule and kilowatt hour and total cost so we have to find all this so let's start with first part that is power we know the formula power is i multiply by v so from here i is nothing but power divided by voltage power is one one zero zero zero zero multiply by ten to the power three watt and the voltage is given so now on dividing this we will get our current as 42 .3 multiplier 10 to the power 3 and p .r.

01:22 So this is our first answer that is find the current.

01:31 So we have to find the second part that is energy consume each day right each day stand for 24 r so we have given the time in r let's convert into second because we have to put it in second in our question so 24 multiply by 60 multiple 60 second so now let's calculate energy we know we know the formula of power is nothing but energy divided by time therefore energy can be written as power multiply by time we know we know power as 1 1 .0 0 0 0 0 0 multiplic 0 multiply 10 to the power 3 and time is 24 multipra 5 xx0 multiply by 16.

02:30 So now on solving this, we will get the value of power.

02:39 So now on solving this we will get our energy as 9 5, 0.

02:48 04040 0000 multiply by 10 to the power 6 june now we have to calculate energy in kilowatt r also we know 1 kilowatt r is nothing but 3 .6 multiply by 10 to the power 6 2 so now let's calculate energy in kilowatt hour so we have to divide this 95 5404 0000000 multi -trivate 10 to the power 6 by 3 .6 multi -private 10 to the power 6 so our answer will be in kilowatt r so now on dividing this we will get our energy in kilowatt r as 2, 6399 so now on dividing this we will get our energy in kilowattr as 2 6399 2 .6 kilowatt hour so this is energy in kilowatt hour and we have calculated above energy in in june so the third part is asking us find the total cost right so let's solve the third part that is total cost let's find the third part that is total cost let's find the third part that is total cost.

04:36 We know total cost of electricity bill is nothing but total energy, total energy multiplied by cost per kilowatt hour...

Question

The generator at a large power plant has an output of 1,900,000 kW at 28,000 V. (a) If it were a DC generator, what would be the current in it? A (b) What is its energy output each day—in joules and in kilowatt-hours? J

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