91Ó°ÊÓ

A potential difference of the resistor, V = 200 V

Rate of transfer of electrical energy to thermal energy, P = 3000 W

From the relationship between power, potential, and resistance, the resistance is inversely proportional to power and directly proportional to the square of potential. Using this you can calculate the resistance.

Formula:

The electric power generated in the circuit,

$$\begin{gathered} \mathrm{P}=\frac{{\mathrm{V}}^2}{\mathrm{R}} \\ \left(1\right)\mathrm{R} \end{gathered}$$ ….. (1)

Here, P is the electric power, V is the potential, and R is the resistance.

Resistance is the property of the material that resists the flow of charges.

By substituting the given values in equation (1), you can get the value of the resistance as follows:

$$\begin{gathered} \mathrm{R}=\frac{{\mathrm{V}}^2}{\mathrm{P}} \\ =\frac{{\left(200\right)}^2}{3000} \\ =13.3\mathrm{Î\copyright } \end{gathered}$$

Hence, the value of the resistance is $13.3\mathrm{Î\copyright }$.