Equivalent resistance in parallel resistors:

$\overline{)\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{e}\mathbf{q}}}{\mathbf{=}}\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{1}}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{2}}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{3}}}}$

Ohm's law:

$\overline{){\mathbf{V}}{\mathbf{=}}{\mathbf{i}}{\mathbf{R}}}$

R_{eq} = (1/10 + 1/15 + 1/R)^{-1} = (1/6 + 1/R)^{-1} = 6R/(R + 6)

What is the value of resistor *R* in the figure below, in which *I* = 8 A and Δ*V* = 34 V?

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