Question

The charge per unit length on a glass rod is $\lambda=-7.5 \mu \mathrm{C} / \mathrm{m} .$ If the rod is $2.5 \mathrm{m}$ long, how many excess electrons are on the rod?

   The charge per unit length on a glass rod is $\lambda=-7.5 \mu \mathrm{C} / \mathrm{m} .$ If the rod is $2.5 \mathrm{m}$ long, how many excess electrons are on the rod?

College Physics: Reasoning and Relationships

College Physics: Reasoning and Relationships

Nicholas J.… 2nd Edition

Chapter 17, Problem 8

Instant Answer

Solved by Expert Varsha Aggarwal

02/14/2022

Step 1

The total charge (Q) on the rod can be calculated by multiplying the charge per unit length (λ) by the length of the rod (L). The formula is given by: \[Q = \lambda \times L\] Show more…

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The charge per unit length on a glass rod is $\lambda=-7.5 \mu \mathrm{C} / \mathrm{m} .$ If the rod is $2.5 \mathrm{m}$ long, how many excess electrons are on the rod?

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Key Concepts

Uniform Linear Charge Distribution

This concept refers to the idea that the total charge is evenly spread along the length of an object. It allows for the total charge to be determined by multiplying the charge per unit length by the object's total length.

Unit Conversion

In problems involving charge, it is often necessary to convert units, such as microcoulombs to coulombs, to ensure consistency and accuracy in calculations.

Total Charge Calculation

This process involves multiplying the linear charge density by the length of the charged object to obtain the net charge. It connects the distributed charge value to a single total charge value which can then be used in further calculations.

Elementary Charge

The elementary charge is the magnitude of charge carried by a single electron. In calculations, dividing the total charge by the elementary charge yields the number of electrons responsible for the net charge, illustrating the quantized nature of electric charge.

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