Derive this formula of heating effect of of electric current H=V×V/R×T
Answers
Explanation-1:
The resistance, R of the conductor. A higher resistance produces more heat
The time, t for which current flows. The longer the time the larger the amount of heat produced
The amount of current, I. the higher the current the larger the amount of heat generated.
To calculate the heat produced in a conductor, consider current I is flowing through a conductor AB of resistance R for time t. also consider that the potential difference applied across its two ends is V.
Now, total amount of work done in moving a charge q from point A to B is given by:
W=qxV
Now, we know that charge = current time
q = xt
V=XR
Putting the values of q and V in equation (1), we get
W = (I t) (I×R)
W=1?Rt
Now, assuming that all the work done is converted into heat energy we can replace symbol of 'work done with that of 'heat produced'. So,
H
=
1PRT
(OR)
Explanation-2:
When a current flows through a conductor, heat energy generates in the conductor.
When a current flows through a conductor, heat energy generates in the conductor.Joule's law of heating gives the required formula for the heat produced as:
When a current flows through a conductor, heat energy generates in the conductor.Joule's law of heating gives the required formula for the heat produced as:H = 12.R.
When a current flows through a conductor, heat energy generates in the conductor.Joule's law of heating gives the required formula for the heat produced as:H = 12.R.It states that:
When a current flows through a conductor, heat energy generates in the conductor.Joule's law of heating gives the required formula for the heat produced as:H = 12.R.It states that:• Directly proportional to the square of electric current flowing through it.
When a current flows through a conductor, heat energy generates in the conductor.Joule's law of heating gives the required formula for the heat produced as:H = 12.R.It states that:• Directly proportional to the square of electric current flowing through it.Is directly proportional to the resistance of the conductor.
When a current flows through a conductor, heat energy generates in the conductor.Joule's law of heating gives the required formula for the heat produced as:H = 12.R.It states that:• Directly proportional to the square of electric current flowing through it.Is directly proportional to the resistance of the conductor.Directly proportional to the time for which electric current flows through the conductorTo derive above formula
To derive above formulaAmount of work done in moving a charge against a potential difference is given by W = V.Q .(1)
To derive above formulaAmount of work done in moving a charge against a potential difference is given by W = V.Q .(1)We know that V = I.R as per Ohm's law ..(ii)
To derive above formulaAmount of work done in moving a charge against a potential difference is given by W = V.Q .(1)We know that V = I.R as per Ohm's law ..(ii)or :
To derive above formulaAmount of work done in moving a charge against a potential difference is given by W = V.Q .(1)We know that V = I.R as per Ohm's law ..(ii)or :And that Q = I.t. .....(iii)
Putting value from (ii) ad (iii) in (i)
Putting value from (ii) ad (iii) in (i)We get
Putting value from (ii) ad (iii) in (i)We getW = (1.R).(I.t)
W=I²Rt
This work done is convereted into the heat energy. Here I is current in Ampere units, R is resistance in ohms and t is time in seconds. H is the amount of heat produced in Joules (J).
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