Question

out of the two toaster of 1kw and an electric heater of 2kw which has the greater resistance

Answer 1

resistance of toaster is more than that of heater
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Answer 2

Explanation:

The given question is solved using the formula of resistance, through which power is defined.  

Given is the toaster with a power of 1 KW and also an electric heater with 2 KW.

$\mathrm{P}_{\text { toaster }}=1 \ \mathrm{k} \mathrm{W}$

$\mathrm{P}_{\text { heater }}=2 \ \mathrm{kW}$

$Power = Voltage \times Current$

$\mathrm{P}=\mathrm{V} \times \mathrm{I}$

Since, $\mathrm{V}=\mathrm{I} \times \mathrm{R}$

$\mathrm{P}=\mathrm{I} \times \mathrm{R} \times \mathrm{I}$

$\mathrm{P}=\mathrm{I}^{2} \mathrm{R}$

Multiply and divide with R the given equation

$\mathrm{P}=\frac{\mathrm{I}^{2} \mathrm{R} \times \mathrm{R}}{\mathrm{R}}$

$\mathrm{P}=\frac{\mathrm{I}^{2} \mathrm{R}^{2}}{\mathrm{R}}$

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

Therefore, we have Power is inversely proportional to R

More power signifies less resistance

$\mathrm{P}_{\text { toaster }}<\mathrm{P}_{\text { heater }}$

$\mathrm{R}_{\text { toaster }}>\mathrm{R}_{\text { heater }}$

Thereby, more power signifies less resistance, therefore, the resistance of toaster is more than that of electric heater.