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Joule heat

Physical terms
In 1841, British physicist joule It is found that the current can generate heat when passing through the conductor. This heat is called Joule heat, and its unit is joule (J)。
Chinese name
Joule heat
Foreign name
Joule heat
expression
Q=I^2*R*t
Presenter
joule
Proposed time
1841

Definition 1

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Pure resistance circuit

When electric current All work done is generated quantity of heat , i.e electric energy All converted to internal energy [Also called heat energy ], this circuit is Pure resistance circuit , when Q=I2Rt
according to Electric power We have [U means Voltage , in Volts (V)】:Q=UIt
Or according to Ohm's law (Ohm's law itself only Pure resistance circuit ), we have: Q=U2t/R

Impure resistance circuit

about Impure resistance circuit As far as it is concerned, the general form of Joule's law is most frequently used, and the above cannot be used Pure resistance Two formulas in.
Joule heat
Because:
① Ohm's Law Pure resistance circuit Established in China;
② Its electric energy Not all work is converted into internal energy , cannot use the formula of electric work.

Any circuit

In addition to the general formula of Joule's law, we can also express it according to the formula I=q/t [q Charge quantity , in Coulomb (C) ] Deform the formula (applicable to all circuits):
stay Series circuit In, because the current passing through the conductor is equal, the energizing time is also equal. According to Joule's law, the heat generated by the current passing through the conductor is proportional to the resistance of the conductor.
stay Parallel circuit Since the voltages at both ends of the conductor are equal, the energizing time is also equal. According to Joule's law, the heat generated by the current passing through the conductor is inversely proportional to the resistance of the conductor.

Definition 2

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This definition is the differential definition of joule heat. In the conductive medium, the power provided by the electric field to the unit volume is consumed on the resistance of the conductive medium as joule heat in the form of heat.
Calculation formula:
P is the thermal power, dp is the power element, dV is the volume element of the conductive medium, dW is the thermal power element, dt is the time element, dF is the vector element of the electric field force, dl is the length element of the distance that the charge passes in the direction of the electric field force, dq is the charge element,
Is the charge density, E is the electric field intensity vector, v is the charge moving speed, and J is the current volume density vector.

nature

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In 1841, British physicist joule find Current carrying conductor The heat produced in Q (called joule heat) and the square of the current I conductor The resistance R of is proportional to the power on time t. This rule is called Joule's law
use International System of Units , whose expression is Q=I ^ 2xRt or Thermal power P=I ^ 2xR, where the units of Q, I, R, t and P are joule, ampere, ohm, second and watt in turn.
Joule's law is to design electric lighting, electric heating equipment and calculate various electrical equipment temperature rise Important formula of.
Joule heat
Joule's Law Series circuit Application in:
In a series circuit, if the current is equal, the greater the resistance, the more heat will be generated
The application of Joule's law in parallel circuit:
In parallel circuit, the voltage is equal. Through the deformation formula, W=Q=PT=U2/RT. When U is fixed, the larger R, the smaller Q
It should be noted that, Joule's law And Electric power The formula W=UIt is only applicable to Pure resistance circuit , that is, only when Electric heater Only in such circuits can Q=W=UIt=I ^ 2Rt=U ^ 2t/R.
In addition, Joule's law can also be transformed into Q=IRQ (the latter Q is Charge quantity , Unit Coulomb (c))。

Joule thermal solution

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1、 If the induced current is constant, it is generally solved by Joule's law
In the electromagnetic induction phenomenon, if the induced electromotive force and induced current are generated by the magnetic field change or the conductor cutting movement, and the numerical value is stable, the Joule heat of the induced current can be directly solved by the Joule law. [1]
2、 If the induced current changes aperiodically, calculate the Joule heat according to the law of conservation of energy
Joule heat
In the electromagnetic induction phenomenon, if the induced electromotive force and induced current It is generated by the motion of the magnetic induction line cut by the conductor bar, but the value is non periodic, so the Joule heat of the induced current can be solved by the law of energy conversion and conservation or kinetic energy theorem.
3、 If the induced current changes periodically. Calculate joule heat from Q=I Rt (where I is the effective value of current)
In the electromagnetic induction phenomenon, if Induced electromotive force The joule heat of induced current can be solved by Q=I Rt (where I is the effective value of current) if and induced current is generated by the change of magnetic field or the motion of conductor cutting magnetic induction line, and the value is periodic.

Important points

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In the problem of electromagnetic induction, most of them convert other forms of energy into electrical energy of the circuit by overcoming the work of ampere force, which is consumed by resistance and converted into joule heat energy. [2]
Joule's law is an experimental law, which has a wide range of applications. encounter Current heating effect For example, to Calculated current Heat is released when passing through a circuit; Compare a section of circuit or conductor Joule's law can be used for the amount of heat released, that is, when considering the requirements for the circuit from the perspective of current thermal effect.
from Joule's law The formula shows that the heat generated by the current passing through the conductor is proportional to the square of the current intensity, the resistance of the conductor, and the power on time.
If all the work done by the current is used to generate heat. That is, according to Ohm's law , with Q=I ^ 2xRt
It should be noted that Joule's law and not Joule's law are derived from Ohm's law and can only be used in the current field Work take electric energy Only when all of them are converted into heat energy. For electric furnace Electric iron These two formulas are equivalent to Joule's law for electrical appliances such as electric lamps. When analyzing and solving the heat release problem caused by the current passing through the electrical appliance, it should be, so as to reduce errors.
When using Joule's law formula for calculation physical quantity To correspond to the same conductor Or the same section of circuit has the same corresponding relationship with Ohm's law. When several physical quantities appear in the question, they should be added Corner code , to show the difference.