Resistance and Power if an element is removed from parallel circuit

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0
1. The problem statement, all variables and given/known data
A heater consists of heating elements connected in parallel across a power supply. A wire in one of the heating elements breaks. What happens to the total resistance of the heater? And the power output of the heater?


3. The attempt at a solution
Will the resistance increase and the power decrease? I'm just not sure how to explain why that happens.

Any help at all would be greatly appreciated! Many Thanks!
 

Doc Al

Mentor
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What do you think?

How do resistors in parallel add?
 

Astronuc

Staff Emeritus
Science Advisor
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What is the value of total resistance for N resistors R in parallel? Then N-1 resistors in parallel?

Then look at P as a function of V and I, and remembering the relationship between V, I, and R.
 
33
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Will the resistance increase because the Total Resistance=Value of 1 resistor/Number of resistors. So if there is one less resistor then the total resistance will be greater. Is this right??

And for the power, would I use P=V^2/R. Because voltage will stay the same but resistance has increased, therefore making power decrease? Thanks
 

Doc Al

Mentor
44,642
966
Sounds good!
 

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