Question

derive an expression for electrical energy consumed in a device in terms of v i n t where we say potential difference applied to it is the current drawn by and T is the time for which the current flows​

Answer 1

Let current I flow through the conductor of resistor R, let potential difference across the resistor be V.

Therefore,

V=W/Q

W=VQ

Now as we know Q=It

So we get

W=V(It)

W=VIt

Assuming that all workdone is converted into heat produced so we get,

H=VIt

Now, we know that V=IR (Ohms law)

So I=V/R Now substitute in above eqn

We get,

H=V(V/R) t

H=V^2*t/R

Now substitute V=IR IN ABOVE EQN

We get,

H=(IR) *(IR)* t/R

SO WE GET,

H= I^2Rt

I hope it will help u buddy.

Pls mark it as brainliest ans brother.

Answer 2

Explanation:

Energy =( V²/R²)t

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

hope this may help u plz mark me as branilist.....