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Current Electricity

Question
CBSEENPH12037923

We have 30 watt, 6 volt bulb which we want to glow by a supply of 120 V. What will have to be done for it?

Solution
Given,
Power of the bulb, P = 30 W
Potential of the bulb, V = 6 V
Supply voltage, V' = 120 V

Now, Resistance of the bulb, 

 R = V2P =(6)230 = 1.2 Ω 

Current that can be flown across the bulb,
  
I = PV =306 = 5 A 

Let R’ be the resistance used in series with the bulb to have a current of 5 A in the circuit.

 
Total resistance  = R' + R = (R' + 1.2)

And so,
             Current, I = V'/(R'+1.2)
 
                         5 = 120R'+1.2
 
                        R' = 1205-1.2     = 22.8 Ω 

That is, a resistance of 22.8Ω will have to be used in series with the lamp so as to supply a voltage of 120 V. 

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