Question

Rate of heat generated by electric current in a resistive circuit is expressed as

Answer 1

Let's assume that:

• Current through circuit is I
• Net resistance in circuit is R
• Potential Difference supplied by cell is V

Now, heat generated be H :

$\therefore \: H = {I}^{2} Rt$

• Now, rate of generation of heat is called Power.

$\therefore \: P = \dfrac{H}{t}$

$\implies \: P= \dfrac{{I}^{2} Rt}{t}$

$\boxed{ \implies \: P= {I}^{2} R}$

Or, it can be expressed as:

$\boxed{ \implies \: P= \dfrac{{V}^{2}}{R}}$

$\boxed{ \implies \: P= \dfrac{{V}^{2}}{R}} \: or \: \boxed{P = VI}$

Hope It Helps.

Answer 2

Explanation:

Let's assume that:

Current through circuit is I

Net resistance in circuit is R

Potential Difference supplied by cell is V

Now, heat generated be H :

\therefore \: H = {I}^{2} Rt∴H=I

2

Rt

Now, rate of generation of heat is called Power.

\therefore \: P = \dfrac{H}{t} ∴P=

t

H

\implies \: P= \dfrac{{I}^{2} Rt}{t}⟹P=

t

I

2

Rt

\boxed{ \implies \: P= {I}^{2} R}

⟹P=I

2

R

Or, it can be expressed as:

\boxed{ \implies \: P= \dfrac{{V}^{2}}{R}}

⟹P=

R

V

2

\boxed{ \implies \: P= \dfrac{{V}^{2}}{R}} \: or \: \boxed{P = VI}

⟹P=

R

V

2

or

P=VI

Hope It Helps.