2 heaters with rating of !!10W!! at !!200V!! and !!20W!! at !!100V!! are connected in series. If they are connected to !!300V!! supply then:
!!10W!! heater may burn
!!20W!! heater may burn
Both of them will burn
None of them will burn
This was a straighforward question.
We first use the information given to find the resistance of the 2 capacitors.
When combined in a series to a !!300V!! power source, current through circuit is !!=300/((200)^2/10+(100)^2/20)!!
Heat generated in each of the heaters is given by !!I^2R!!.
Heat in first is !!I^2R_1=(1/15)^2xx(200)^2/10=(8xx20)/9>10W!!
Heat in first is !!I^2R_1=(1/15)^2xx(100)^2/20=(4*5)/9<20W!!
So the first heater burns.
We can see that the maximum current that can pass through first heater is !!P/V=1/20A!! similarly the maximum current through second resistor is !!P/V=1/5A!!
Since the current through both the heaters is !!1/15A!! first heater burns.