Max Voltage: 3 100ohm Resistor Circuit | Homework Solution

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SUMMARY

The maximum potential difference that can be applied between points A and B in a circuit with three 100-ohm resistors is 75V. This conclusion is derived from calculating the maximum current of 0.5A that can safely flow through the first resistor, using the formula P=I²R. The equivalent resistance of the circuit is 150 ohms, leading to the voltage calculation V=IR, which confirms that 150 ohms multiplied by 0.5A results in 75V. The initial incorrect calculation of 61V stemmed from misapplying the power rating to the equivalent resistor instead of the individual resistor.

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Homework Statement


Three 100ohm resistors are connected as shown. The maximum power that can safely be dissipated in anyone resistor is 25W

What is the maximum potential differencethat can be applied between points A and B.


Homework Equations


Ohms Law, V=IR
P=V^2/R

The Attempt at a Solution


I simplified the circuit down until I had one single resistor of 150ohm then used P=V^2/R, so 25= V^2/150, rearranged and got V=61V however this is incorrect.
 

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That's not quite right. What you're doing is finding the potential across the equivalent resistor. The equivalent resistor doesn't have the same power rating. You should find the max current that can go through the first resistor because it will be what limits you.

P=I^2R

So now you know the max current, and you can find the voltage that goes between the equivalent resistor.

V=IR

Does that make sense to you?
 
Okay the max. current that will go through X is 0.5A.The equivalent resistor is 150ohms so 150*.50 = 75V. Thankyou! the answer is right
 

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