200J of heat is produced each second in two 45 ohm resistors cnnected in series .Find V across each resistor?

Question

also explain how to do

Answer 1

Since the resistors are in series, they also have the same current.

Therefore 100J is produced each second in one of them.

i.e. 100 Watts of power.

Power  =  Voltage^2 / Resistance.

Voltage^2  =  power  x  resistance   =   100  x  45    =   4500

  So voltage  =  SQR(4500)   =   67 V  across each resistor

Answer 2

I joule /Sec  = 1 watt .

now  power  = Curent ^2 * R  in watts

Current = voltage / resistance ( r)

here we have  r = 45+45 = 90 ohms ( Being in series )

hence   E ^2 = 200 *90

E = Sqrt ( 18000)   volts.

now  voltage across each can be found out.