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state the law which govern the amount of heat produced in a metallic conductor when current is passed through it for a given time . express this law mathematically.
Verified Answer
state the law which govern the amount of heat produced in a metallic c...
Heat produced is directly proportional to the square of the current, time t through which the current flown and resistance of the conductor. The heat produced is independent of the direction of current.
H ∝ I^2 x R x t
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Most Upvoted Answer
state the law which govern the amount of heat produced in a metallic c...
According to me the best answer for this question can be Joules law of heating. Which is nothing but H=I×I×R×T
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state the law which govern the amount of heat produced in a metallic c...
Introduction:
The law that governs the amount of heat produced in a metallic conductor when current is passed through it for a given time is known as Joule's Law. This law establishes a relationship between the heat produced, the current flowing through the conductor, the resistance of the conductor, and the time for which the current flows.

Joule's Law:
Joule's Law states that the amount of heat (Q) produced in a metallic conductor is directly proportional to the square of the current (I) flowing through it, the resistance (R) of the conductor, and the time (t) for which the current flows. Mathematically, it can be expressed as:

Q = I^2 * R * t

Explanation:
Let's break down the equation to understand the different components:
1. I represents the current flowing through the metallic conductor. The unit of current is Ampere (A).
2. R represents the resistance of the conductor. The unit of resistance is Ohm (Ω).
3. t represents the time for which the current flows through the conductor. The unit of time is seconds (s).
4. I^2 represents the square of the current, ensuring that the heat produced is directly proportional to the square of the current.

According to Joule's Law, the heat produced in a metallic conductor is directly proportional to the square of the current, the resistance of the conductor, and the time for which the current flows. This means that if any of these factors increase, the amount of heat produced will also increase.

Practical Application:
Joule's Law has several practical applications, particularly in the field of electrical heating. It helps in determining the amount of heat generated in a conductor, which is crucial for designing electrical appliances such as heaters, electric stoves, and to calculate the power dissipation in electrical circuits.

Conclusion:
Joule's Law, expressed as Q = I^2 * R * t, governs the amount of heat produced in a metallic conductor when current is passed through it for a given time. This law provides a mathematical relationship between the heat produced, the current, the resistance, and the time. Understanding this law is important in various fields, especially in designing and analyzing electrical devices.
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Read the extract given below and answer the questions that follows:There are many activities that are undertaken by directly using natural resources. When we produce a good by exploiting natural resources, it is an activity of the primary sector. Since most of the natural products we get are from agriculture, dairy, fishing, forestry, this sector is also called agriculture and related sector. The secondary sector covers activities in which natural products are changed into other forms through ways of manufacturing that we associate with industrial activity. It is the next step after primary. The product is not produced by nature but has to be made and therefore some process of manufacturing is essential. After primary and secondary, there is a third category of activities that falls under tertiary sector and is different from the above two. These are activities that help in the development of the primary and secondary sectors. These activities, by themselves, do not produce a good but they are an aid or a support for the production process. The various production activities in the primary, secondary and tertiary sectors produce a very large number of goods and services. Also, the three sectors have a large number of people working in them to produce these goods and services. The value of final goods and services produced in each sector during a particular year provides the total production of the sector for that year. And the sum of production in the three sectors gives what is called the Gross Domestic Product (GDP) of a country. It is the value of all final goods and services produced within a country during a particular year. GDP shows how big the economy is.Q. Which of the following statement is not true?

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state the law which govern the amount of heat produced in a metallic conductor when current is passed through it for a given time . express this law mathematically.
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