The power dissipated in a resistor is given by P = V 2 / R , which means power decreases if resistance increases. Yet this power is also given by P = I 2R , which means power increases if resistance increases. Explain why there is no contradiction here?

Respuesta :

Answer:

Explanation:

Power Dissipated in a resistor is given by two methods i.e.

[tex]P=\frac{V^2}{R}[/tex]  and

[tex]P=I^2\cdot R[/tex]

where [tex]V=Potential\ difference[/tex]

[tex]R=resistor[/tex]

[tex]I=current[/tex]

both formula gives Power but Former is used when voltage is constant i.e. when resistors are in parallel and the later is used when the resistor are in series .

Though [tex]P=\frac{V^2}{R}[/tex] can also be used in series but we have to calculate the Potential drop across each resistor then we can apply the formula.

Similar is with [tex]P=I^2R[/tex]

First we have to calculate current through each resistor then we can apply the Formula