Question

Derive the relation H=i2rt

Answer 1

Answer:

To derive:

Heat produced in a resistor is as follows

H = I²RT

Derivation:

We derive potential difference as the work done to transport a charge from one point to another.

Let voltage be V , Work done be W , charge be Q , Time be T and I be current

V = W/Q

=> W = V × Q ...............(1)

We also know that

V = I × R ..........(2)

Q = I × T ...........(3)

Putting values of V and Q in eq(1), we get

W = (I × R) × ( I × T)

=> W = I²RT

Let us assume that the whole work done is converted to Heat energy ,

So, H = I²RT

Answer 2

Answer:

Following are heat produced in A resistor :

H = I^2 RT.

We know that ;

V = W/Q.

V = W/Q........(1). V = I × R.........(2).

Q = I × T........(3).

Putting values of V and Q in equation ...(1) we get :

W = (I × R) × (I × T).

W = I^2RT.

Now , convert whole work to heat energy:

H = I^2RT.