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Q.

[[1]] is the expression for heat produced in a conductor of resistance R, when the current I flows for a time t.

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Detailed Solution

H = I^{2} Rt

is the expression for heat produced in a conductor of resistance R, when the current I flows for a time t.
The amount of work done ‘W’ when an electric charge ‘Q’, moves against a potential difference ‘V’ is the electric energy and it is denoted by W is given by;

W = V \times Q

…….. (i)
From the above expression,

= > V = \frac{W}{Q}

We know that

= > V = IR

…………….. (ii)

= > Q = It

……… (iii)
Therefore

= > I = \frac{Q}{t}

Put the values of equations (ii) and (iii) in (i) we get

= > W = (IR) (It)

= > W = I^{2} Rt

= > W = H

Where H is the amount of heat energy, it is expressed in Joules J and I is the electric current denoted by Ampere.
Therefore,

H = I^{2} Rt

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