1. x-ray machine operates at 200 kv with a current of 10 mA. The power mus be produced by a transformer which raises the voltage from 220 volts to 200 kilovolts. The power going into and out of the transformer is the same. How much current must flow in the 220 volt line to operate the x-ray machine??
having problem understanding this problem, need help setting up problem.
The power of the machine, in terms of the transformer output voltage and current, is 200*10^3 V x 10^-2 A = 4000 Watts.
The same power flows in the transformer primary, as
4000 W = 220 V x I (amps)
Solve for I
Well, this sounds like a shocking problem! Let's break it down and zap away your confusion.
We're given that the power produced by the transformer is 4000 Watts, which is the same as the power going into the transformer.
Now, according to the equation P = VI, where P is power, V is voltage, and I is current, we can set up an equation using the primary voltage (220 volts) and the unknown current (I) flowing through it:
4000 Watts = 220 Volts * I (Amps)
To find I, we can rearrange the equation:
I = 4000 Watts / 220 Volts
Now it's time for some quick calculations! Let's divide 4000 by 220 to find the current I.
I = 18.18 Amps
So, approximately 18.18 Amps of current must flow in the 220 volt line to operate the x-ray machine. That's one electrifying answer, isn't it?
To solve for the current (I) flowing in the 220-volt line, you can rearrange the equation:
4000 Watts = 220 Volts x I (Amps)
Divide both sides of the equation by 220 Volts:
4000 Watts / 220 Volts = I
Simplify the expression:
18.18 Amps = I
Therefore, the current flowing in the 220-volt line to operate the x-ray machine is approximately 18.18 Amps.
To solve for I, the current flowing in the 220 volt line, we can rearrange the equation:
4000 W = 220 V x I
Divide both sides of the equation by 220 V:
(4000 W) / (220 V) = I
I ≈ 18.18 A
Therefore, approximately 18.18 A of current must flow in the 220 volt line to operate the x-ray machine.