10,000 watt Heater

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If a 10,000 watt heater rated for 240 volts is connected to 208 volts how many amps will the heater draw? What is the proper way to do this calculation?
 

Dennis Alwon

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Staff member
Location
Chapel Hill, NC
Occupation
Retired Electrical Contractor
This is assuming this is straight resistant heater. If there s a motor involved make sure the motor can be connected 208V
 
No this wasn't homework it was an actual exam question.
I am just trying to learn and understand how to do the question. I appreciate your help and your time to answer back!
 

bob

Senior Member
Location
Alabama
Take the original information 10000 watt heater at 240 volts. In this case I x V = watts or I x 240 = 10000 and I = 41.7 amps.
The resistance of the heater R = V/I = 240/41.7 R = 5.75 ohms watts = I2 x R = 41.7 2 x 5.75 = 10000 watt
At 208 volts I = V/R = 208/5.75 I = 36.2 amps. At 208 volts the wattage = I2 x R = 36.2 2 x 5.75 = 7535 watts

watts = (V2/V1)2 x 10000 = (208/240)2 x 10000 = 7535 approx.
That's not the same as JR. Check it for correctness please.

Answer is 36 amps.

Thanks
 

Dennis Alwon

Moderator
Staff member
Location
Chapel Hill, NC
Occupation
Retired Electrical Contractor
Take the original information 10000 watt heater at 240 volts. In this case I x V = watts or I x 240 = 10000 and I = 41.7 amps.
The resistance of the heater R = V/I = 240/41.7 R = 5.75 ohms watts = I2 x R = 41.7 2 x 5.75 = 10000 watt
At 208 volts I = V/R = 208/5.75 I = 36.2 amps. At 208 volts the wattage = I2 x R = 36.2 2 x 5.75 = 7535 watts

watts = (V2/V1)2 x 10000 = (208/240)2 x 10000 = 7535 approx.
That's not the same as JR. Check it for correctness please.

Answer is 36 amps.

Thanks

I was just going to post that Jraef's seemed off. It looks like he did a ration 10000 is to 240 as ? is to 208. That gets the wattage he had.
 

cadpoint

Senior Member
Location
Durham, NC
Take the original information 10000 watt heater at 240 volts. In this case I x V = watts or I x 240 = 10000 and I = 41.7 amps.
The resistance of the heater R = V/I = 240/41.7 R = 5.75 ohms watts = I2 x R = 41.7 2 x 5.75 = 10000 watt
At 208 volts I = V/R = 208/5.75 I = 36.2 amps. At 208 volts the wattage = I2 x R = 36.2 2 x 5.75 = 7535 watts

watts = (V2/V1)2 x 10000 = (208/240)2 x 10000 = 7535 approx.
That's not the same as JR. Check it for correctness please.

Answer is 36 amps.

Thanks

Why do you get to instert 5.75 (twice), is this a constant resistance?
 

cadpoint

Senior Member
Location
Durham, NC
The resistance for the heater is just that and it doesn't vary on voltage. The watts however with change with voltage not the ohms. Is that what you are asking?



It's slight of hand(mind) - if 240 wasn't in the equation then the value of ohm's would have been different.

IF to par-phrase Bob

I x 208 = 10000 and I = 48.1 amps
The resistance of the heater R = V/I = 208/48.1 R = 4.3264 ohms watts= I2 x R= 48.12x 4.3264= 10009. watt.

The equipment was built at 240 which sets up the resistance. I should have been a Maryland fan, Go Terps...
 
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