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:

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

**1)**

R_{2}, R_{3} and R_{4} are in parallel:

R_{234} = (1/R_{2} + 1/R_{3} + 1/R_{4})^{-1} = (1/2 + 1/2 + 1/4) = 0.8Ω

R_{1} and R_{234} are in series:

The battery in the figure below has negligible internal resistance.

Find the current in each resistor.

1)A (3 Ω resistor)

2)A (4 Ω resistor)

3)A (vertical 2 Ω resistor)

4) A (diagonal 2 Ω resistor)

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 Solving Resistor Circuits concept. You can view video lessons to learn Solving Resistor Circuits. Or if you need more Solving Resistor Circuits practice, you can also practice Solving Resistor Circuits practice problems.

What professor is this problem relevant for?

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