What is the maximum emf e that the battery can have without burning up any of the resistors?

In the circuit shown in the figure, all the resistors are
rated at a maximum power of 1.20 W.

What is the maximum emf that the battery can have without
burning up any of the resistors?
-------------
I tried to calculate the resistance of each component of the
circuit and then use P=V2/R --> V=sqrt(PR) to find the lowest<br />
EMF that wouldnt burn out the resistor with the least resistance.<br />
This didnt seem to work.<br />
Also had difficulty working out how the 20 Ohm resistor (just<br />
above the 40 Ohm one) factors into the circuit. i.e. is it<br />
connected to anything? if so, in series or in parallel???<br />
Thanks in advance’/> In the circuit shown in the figure, all the resistors are<br />
rated at a maximum power of 1.20 W. What is the maximum emf that the battery can have without<br />
burning up any of the resistors? ————- I tried to calculate the resistance of each component of the<br />
circuit and then use P=V2/R –> V=sqrt(PR) to find the lowest<br />
EMF that wouldn’t burn out the resistor with the least resistance.<br />
This didn’t seem to work. Also had difficulty working out how the 20 Ohm resistor (just<br />
above the 40 Ohm one) factors into the circuit. i.e. is it<br />
connected to anything? if so, in series or in parallel??? Thanks in advance</p>
<p>The current through the 40 ohm resistor equals the current<br />
through the empf and the current through each of the other<br />
resistors is less than or equal to this current. So set P(40) =<br />
1.2W and use this to solve for the current I through the mef. If<br />
P(40) = 1.2W then P for each of the other resistors is less than<br />
1.2W.<br />
(I^2)*R = P gives I^2(40ohm)=1.2W, so I = .173A.<br />
Use the equivalent resistence for series and parallel combinations<br />
to simplify the circuit. The upper parallel branch is 6.38 ohm and<br />
the lower one is 25ohm. The series sum is 25 + 30 + 6.38 + 40 + 25<br />
= 126.38. Then E = IR = (.173)*(126.38) = 21.89<br />
Answer: 21.89</p>
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