A resistor of 50 Ω has a P. D. of 100 V, D.C. across 1 hour. Calculate (a). Power and (b). Energy. Answer ( (a) 200W, (b) 0.72 MJ ) 



Given:

Resistance of resister  = R = 50 Ω

Potential Difference =  V = 100 V

Time duration = Δt = 1 hour = 60 x 60 s =3600 s

To Find:

Power = P = ?

Energy = E = ?

Solution:


The formula for power according to given quantities is

= `\frac {V^2}{R}`

by putting values

= `\frac {(100 V)^2}{50 Ω}`

= `\frac {(10,000 V^2}{50 Ω}` 

= 200 W ---------------Ans. (1)

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To find E we know that

E = P x t

putting values

= 200 w x3600 s

= 720,000 J

or

= 7.2 x 10⁻⁵ J

or

= 0.72 x 10⁻⁶ J

or

= 0.72 MJ  -------------------Ans. (2)




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