P-i-2-R-then-how-dP-P-2-dI-I-Similarly-P-V-2-R-then-how-dP-P-2-dV-V-

Question Number 36707 by rahul 19 last updated on 04/Jun/18

P = i^{2} R then how \frac{dP}{P} = 2 \frac{dI}{I} ?

Similarly P = \frac{V^{2}}{R} then how \frac{dP}{P} = 2 \frac{dV}{V} ?

Commented by rahul 19 last updated on 04/Jun/18

On differentiating we get,

dP = 2 IdI \times R .

Answered by tanmay.chaudhury50@gmail.com last updated on 04/Jun/18

P = I^{2} R

\frac{d P}{d I} = 2 I R

d P = 2 I R d I

\frac{d P}{P} = \frac{2 I R d I}{I^{2} R}

\frac{d P}{P} = \frac{2 d I}{I} p r o v e d

Commented by rahul 19 last updated on 04/Jun/18

thanks sir .

Answered by tanmay.chaudhury50@gmail.com last updated on 04/Jun/18

P = \frac{V^{2}}{R}

\frac{d P}{d V} = \frac{2 V}{R}

d P = \frac{2 V d V}{R}

\frac{d P}{P} = \frac{2 V d V \times R}{R \times V^{2}}

\frac{d P}{P} = \frac{2 d V}{V} p r o v e d