Calculating Total Charge Using Algebraic Sum

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Questions and Answers

Which property states that the charge of an object is always a multiple of a fundamental charge?

Neutron charge

Additivity

Quantisation (correct)

Sr charge

In the context of charge properties, what does 'additivity' refer to?

Total charge of a system is the sum of individual charges (correct)

Charge values are quantized in discrete steps

Charge of neutrons and protons

Charge is always a multiple of a fundamental charge

What does it mean that charge is quantized according to the text?

Charge values can only be negative

Charges of different particles cannot be compared

Charge can be any continuous value

Charge values are multiples of a fixed unit (correct)

Which term describes the property where the charge of an object can be broken down into smaller individual charges?

Additivity Signup and view all the answers

What aspect of charge properties is related to the statement 'neutron sr ed' in the text?

Properties of charge 1. 8 3 2 Signup and view all the answers

What is the total charge on an isolated system according to the text?

Constant Signup and view all the answers

How does the text describe the total amount of charge on an isolated system?

Conserved Signup and view all the answers

In the context of charge conservation, what does 'const/same' refer to in the text?

Stable Signup and view all the answers

What term best describes the total charge within an isolated system based on the text?

Invariant Signup and view all the answers

How is the conservation of charge described in the text?

Maintained Signup and view all the answers

What is the total numerical value of the text provided?

121 Signup and view all the answers

What is the product of the numbers 50, 4, 6, and 10?

10000 Signup and view all the answers

How many times does the letter 'm' appear in the text?

4 Signup and view all the answers

If the number '12' represents 'A', what would be coded for 'charged halved'?

MNCOB Signup and view all the answers

Which number is missing in the sequence: 19, 8, _, 12, 22?

-2 Signup and view all the answers

According to the principle of quantisation of charge, what does the total charge on a body need to be?

An integral multiple of the charge on an electron Signup and view all the answers

How is the concept of quantisation of charge related to the charge on an electron?

The charge on a body must be an integral multiple of the charge on an electron Signup and view all the answers

If a body has a net charge of +Q, how many elementary charges (e) have been removed from the body?

$Q/e$ Signup and view all the answers

What type of value can be considered when talking about the total charge on a body according to quantisation of charge?

Whole number multiples of the elementary charge Signup and view all the answers

In the context of quantisation of charge, what would it mean if a body's total charge is not an integral multiple of the charge on an electron?

It violates the principle of quantisation of charge Signup and view all the answers

What is the algebraic sum of charges in the system if a charge of $-3 imes 10^{-19}$ is added to a charge of $5 imes 10^{-19}$?

$-2 imes 10^{-19}$ Signup and view all the answers

If the system has a total charge of $-1.5 imes 10^{-19}$, and one charge is $-4 imes 10^{-19}$, what is the charge of the other component in the system?

$-2.5 imes 10^{-19}$ Signup and view all the answers

In a system with two charges, one being $2 imes 10^{-19}$ and the other unknown, if the total charge of the system is $4 imes 10^{-19}$, what is the value of the unknown charge?

$-4 imes 10^{-19}$ Signup and view all the answers

Given a system with a total charge of $0$ and two charges, $3 imes 10^{-19}$ and an unknown charge, what is the value of the unknown charge?

$-3 imes 10^{-19}$ Signup and view all the answers

If a system has a net charge of $-4 imes 10^{-19}$ and one charge in the system is $7 imes 10^{-19}$, what is the value of the other charge in the system?

$11 imes 10^{-19}$ Signup and view all the answers

Study Notes

Fundamental Charge Properties

The principle of quantization states that the charge of an object is always a multiple of the elementary charge (e).
Additivity refers to the ability to combine charges, indicating that the total charge of a system is the arithmetic sum of individual charges.

Quantization of Charge

Charge is quantized, meaning it can only exist in discrete values rather than continuously.
The term 'charge can be broken down into smaller individual charges' describes the integral nature of charge, stemming from its quantization.
If a body has a net charge +Q, it indicates that a specific number of elementary charges have been removed, corresponding to the charge's quantization.

Conservation of Charge

The total charge in an isolated system remains constant over time, affirming the law of conservation of charge.
The algebraic sum of the charges in the system remains unchanged, represented by 'const/same,' reflecting that total charge is unchanged in a closed system.

Charge Calculations

The total charge of an isolated system is determined to be zero when all positive and negative charges balance each other out.
If a charge of $-3 \times 10^{-19}$ is added to $5 \times 10^{-19}$, the resulting algebraic sum is $2 \times 10^{-19}$.

Example Charge Problems

In a system where one charge is $-4 \times 10^{-19}$ and the total charge is $-1.5 \times 10^{-19}$, the other charge can be calculated as $2.5 \times 10^{-19}$.
If one charge in a system is $2 \times 10^{-19}$ and the total charge is $4 \times 10^{-19}$, the unknown charge is $2 \times 10^{-19}$.
With a net charge of $0$ and known charge $3 \times 10^{-19}$, the unknown charge must be $-3 \times 10^{-19}$ to balance the system.

Additional Numerical and Coded Information

The total numerical value derived from the provided text relates to essential insights derived from charge quantization.
The product of numbers 50, 4, 6, and 10 results in 12000.
The letter 'm' appears multiple times in the text.
If the number 12 represents 'A', the coding for 'charged halved' would depend on a coding scheme relating letters to numbers.
In the sequence 19, 8, _, 12, 22, the missing number is 15.

Charge Values and Relationships

According to quantization, total charge on a body must be an integral multiple of the elementary charge (charge on an electron).
If a body's total charge is not an integral multiple of e, it indicates a violation of fundamental charge quantization.
If the total charge of a system is $-4 \times 10^{-19}$ and contains a charge of $7 \times 10^{-19}$, the other charge must be $-11 \times 10^{-19}$.

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Description

Test your understanding of calculating the total charge by finding the algebraic sum of charges with signs. In this quiz, you will solve a specific problem involving charges to determine the total charge.