Combining Resistors in Series & Parallel Video Lessons

Concept

# Problem:  What is the equivalent resistance of each group of resistors shown in the figure below? In the figure, R1 = 2.0 Ω, R2 = 3.5 Ω, R3 = 8.0 Ω, R4 = 2.0 Ω, and R5 = 4.0 Ω.(a) ____ Ω(b) ____ Ω(c)____ Ω

###### FREE Expert Solution

Equivalent resistance for parallel resistors:

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

(a)

The resistors are in parallel:

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###### Problem Details

What is the equivalent resistance of each group of resistors shown in the figure below? In the figure, R1 = 2.0 Ω, R2 = 3.5 Ω, R3 = 8.0 Ω, R4 = 2.0 Ω, and R5 = 4.0 Ω.

(a) ____ Ω

(b) ____ Ω

(c)____ Ω