Suppose that the lights in the figure below has exactly the same resistance when not connected
and that all the heat generated in them is converted to light. Show mathematically why the lamps lights different , specify how many different brightnesses there are , which lamp lights with which light and how much power that is generated in each lamp.

Question

Suppose that the lights in the figure below has exactly the same resistance when not connected
and that all the heat generated in them is converted to light. Show mathematically why the lamps lights different , specify how many different brightnesses there are , which lamp lights with which light and how much power that is generated in each lamp.

anonymous · Answer

attachment

anonymous · Answer

@Michele_Laino

anonymous · Answer

Cant i Just assume that there is like 3 ohm in every lamp an that the voltage is 10 volt, and then just count?

michele_laino · Answer

I redraw your circuit as below:
|dw:1430306502072:dw|

michele_laino · Answer

the equivalen resistance, is:
$${R_{EQ}} = R + \frac{{R \times R}}{{R + R}} = R + \frac{R}{2} = ...?$$

anonymous · Answer

3R/2?

michele_laino · Answer

ok!

michele_laino · Answer

so we have this result:
|dw:1430306701663:dw|
$$I = \frac{V}{{\frac{{3R}}{2}}} = ...?$$

michele_laino · Answer

$$\Large   I = \frac{V}{{\frac{{3R}}{2}}} = ...?$$

anonymous · Answer

$$I=\frac{ 2V }{ 3R }$$

michele_laino · Answer

ok!

michele_laino · Answer

now we have to find the currents I_1 and I_2, such that:
|dw:1430306925424:dw|