Solution steps:

- Find equivalent resistance of all resistors
- Calculate current using Ohm's law
- Calculate potential difference across individual resistors using Ohm's law

For resistors in series,

$\overline{){{\mathbf{R}}}_{{\mathbf{eq}}}{\mathbf{=}}{{\mathbf{R}}}_{{\mathbf{1}}}{\mathbf{+}}{{\mathbf{R}}}_{{\mathbf{2}}}{\mathbf{+}}{{\mathbf{R}}}_{{\mathbf{3}}}{\mathbf{+}}{\mathbf{.}}{\mathbf{.}}{\mathbf{.}}}$

For resistors in parallel,

$\overline{)\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{eq}}}{\mathbf{=}}\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{1}}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{2}}}{\mathbf{+}}\frac{\mathbf{1}}{{\mathbf{R}}_{\mathbf{3}}}{\mathbf{+}}{\mathbf{.}}{\mathbf{.}}{\mathbf{.}}}$

Ohm's law:

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

Label resistors:

Consider the potential difference between pairs of points in the figure. Suppose that *ε* = 7.5 V .**(a)** What is the magnitude of the potential difference Δ*V*_{14} ?**(b)** What is the magnitude of the potential difference Δ*V*_{24} ?**(c)** What is the magnitude of the potential difference Δ*V*_{34} ?

Express your answers to two significant figures and include the appropriate units.

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What scientific concept do you need to know in order to solve this problem?

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