Question

Derive an expression for the heat produced in a conductor of resistance R
when a current I flows through it for time t.

Answer 1

Answer:

Heat = I²Rt

Explanation:

Consider a resistor of Resistance R. Let, the current flowing through the resistor be I and potential difference across its ends be V.

In time t, let Q amount of charge flows through the resistor.

Work done on Moving charge will be,

W =V x Q ---------(i).

According to the definition of electric current,

Q = I x t -----------(ii).

Putting equation (ii) in (i),

W = V x I x t.

And the work done is dissipated as heat.

Therefore,

Heat produced, H=W=V x I x t => VIt.

H= VIt. --------(iii)

According to Ohm's law

V= IR.

Putting this in equation(iii), we get,

H= IR x It.

Therefore, Heat= I²Rt

Answer 2

Answer:

Here is your answer.

I hope you understood