Question 452: Current Electricity

Question

If in the circuit, power dissipation is $$150W,$$ then $$R$$ is

Accepted Answer

The equivalent resistance is $${{\mathop{m R}
olimits} _{eq}} = {{2 	imes R} \over {2 + R}}$$
$$	herefore$$ Powder dissipation $$P = {{{V^2}} \over {{{\mathop{m R}
olimits} _{eq}}}}$$
$$	herefore$$  $$150 = {{15 	imes 15} \over {{R_{eq}}}}$$
$$	herefore$$ $${{\mathop{m R}
olimits} _{eq}} = {{15} \over {10}} = {3 \over 2}$$
$$ \Rightarrow {{2R} \over {2 + R}} = {3 \over 2}$$
$$ \Rightarrow 4R = 6 + 3R$$
$$ \Rightarrow R = 6\Omega $$

Answer

$$2\,\Omega $$

Answer

$$6\,\Omega $$

Answer

$$5\,\Omega $$

Answer

$$4\,\Omega $$

Current Electricity

If in the circuit, power dissipation is $150W, then R$ is

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