Question

The amount of heat (H), produced in a resister (R) carrying a current (I)and having a potential difference (V) across it,in a time of (T), is given bi the formula-
a)H=V2Rt
b)H=VIRt
c)H=VIt
d)H=I 2/Rt

Answer 1

Answer:

Given:

A circuit has been provided with resistor R , potential difference V , current i and time considered is t

To find:

Amount of Heat produced.

Calculation:

We already know the relationship between heat produced in a circuit with that of Current, potential difference or Resistance and time.

$H \: = {i}^{2} \times R \: \times t$

Now, putting :

$R \: = \frac{V}{i}$

we get the following Equation :

$H \: = {i}^{2} \times \frac{V}{i} \times t$

$= > H \: = V \: \times i \times t$

So option C) is correct

Answer 2

Answer:

As there is potential difference V, So energy transferred for dq flowing charge

=Vdq

As current is just rate of flow of charge

i = dq/dt

dq= i dt

So, heat = Vdq

= Vidt

Integrate from O to t

= Vit

c) option is correct

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