Question

Derive an expression for electric energy consumed in a device in terms of v,i & t

Answer 1

Explanation:

Answer :

Power = Work / Time

( Work( w ) = Energy ( E ) ...... )

Work = Power ( p ) × Time ( t ).....( i )

We know that :

P = V I.

where :

V is the potential difference

I is the current flowing.

So :

Putting the value of P in equation ( i )

We get :

W. = V I t

or

( E. = V I t ) ........

Another Simple way By.....

By the definition of potential difference , work needed to move the charge Q through a potential difference V

W. = Q V

And. Q. = I t

So , W. = V I t........

Thank you

Answer 2

Answer:

Energy =( V²/R²)t

Explanation:

We know that work done ,

W=QV

.•. P=W/t

now,

• P=QV/t
• V=IR
• P=(Q/t)I²R
• =I²R
• Energy =P×t
• =I²R×t
• =(V²/R²)×R×t
• =(V²/R)t
• energy=(V²/R)t
• where,V=voltage
• R = resistance
• t=time

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