Combining Resistors in Series & Parallel Video Lessons

Concept

Problem: Which one of the following is a correct statement for a number of resistors connected in series or parallel?a) The flow of current is different through resistors connected in a series circuit.b) The total resistance in a parallel circuit decreases as more resistors are added.c) The total resistance in a series circuit decreases as more resistors are added.d) The voltage is different across resistors connected in a parallel circuit.e) None of the above statements is correct.

FREE Expert Solution

Equivalent resistance for resistors in series:

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

Equivalent resistance for resistors in parallel:

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

For the series connection, the equivalent resistance increases as more resistors are being added.

Let's consider the option a).

The flow of current is the same through the resistors that are connected in series in a circuit.

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Problem Details

Which one of the following is a correct statement for a number of resistors connected in series or parallel?

a) The flow of current is different through resistors connected in a series circuit.
b) The total resistance in a parallel circuit decreases as more resistors are added.
c) The total resistance in a series circuit decreases as more resistors are added.
d) The voltage is different across resistors connected in a parallel circuit.
e) None of the above statements is correct.