Equivalent resistance for resistors in parallel:

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

Equivalent resistance for resistors in series:

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

The potential difference across a resistor:

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

**1.**

Resistors b, c, and d are in parallel.

Therefore, 1/R_{bcd} = 1/5.0 + 1/5.0 + 1/5.0 = 3/5

R_{bcd} = 1.67Ω

1. Find the current through resistor *a*) in the figure. (Figure 1)

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

2. Find the potential difference across resistor *a*) in the figure.

3. Find the current through resistor *b*) in the figure.

4. Find the potential difference across resistor *b*) in the figure.

5. Find the current through resistor *c*) in the figure.

6. Find the potential difference across resistor *c*) in the figure.

7. Find the current through resistor *d*) in the figure.

8. Find the potential difference across resistor *d*) in the figure 2.

Frequently Asked Questions

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

Our tutors have indicated that to solve this problem you will need to apply the Combining Resistors in Series & Parallel concept. You can view video lessons to learn Combining Resistors in Series & Parallel. Or if you need more Combining Resistors in Series & Parallel practice, you can also practice Combining Resistors in Series & Parallel practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Gao's class at HUNTER.