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Is Work Done by a Battery Always Equal to the Thermal Energy Developed in Electrical Circuit? What Happens If a Capacitor is Connected in the Circuit? - Physics

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प्रश्न

Is work done by a battery always equal to the thermal energy developed in electrical circuit? What happens if a capacitor is connected in the circuit?

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उत्तर

No, the work done by a battery is not always equal to the thermal energy developed in the electrical circuit. In case of a non-ideal battery, the work done by the battery is the sum of the thermal energy developed in the electric circuit and the thermal energy developed in the internal resistance of the battery. In case of a capacitor, the work done by the battery is equal to C V2. An amount of energy equal to `1/2` C V2 is stored in it when it is fully charged, which is a form of electrical energy and not a form of thermal energy. During the charging of the capacitor, `1/2` C V2 of energy is lost in the form of heat and electromagnetic radiation.

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Temperature Dependence of Resistance
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अध्याय 10: Electric Current in Conductors - Short Answers [पृष्ठ १९६]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
अध्याय 10 Electric Current in Conductors
Short Answers | Q 11 | पृष्ठ १९६

संबंधित प्रश्न

The order of coloured rings in a carbon resistor is red, yellow, blue and silver. The resistance of the
carbon resistor is:

a) 24 x 106 Ω ± 5%

b) 24 x 106 Ω ± 10%

c) 34 x 104 Ω ± 10%

d) 26 x 104 Ω ± 5%


A non-ideal battery is connected to a resistor. Is work done by the battery equal to the thermal energy developed in the resistor? Will your answer change if the battery is ideal?


Sometimes it is said that "heat is developed" in a resistance when there is an electric current in it. Recall that heat is defined as the energy being transferred due to temperature difference. Is the statement in quotes technically correct?


Two resistors R and 2R are connected in series in an electric circuit. The thermal energy developed in R and 2R are in the ratio ______________ .


When a current passes through a resistor, its temperature increases. Is it an adiabatic process?


Is inversion temperature always double the neutral temperature? Does the unit of temperature have an effect in deciding this question?


The constants a and b for the pair silver-lead are 2.50 μV°C−1 and 0.012μV°C−2, respectively. For a silver-lead thermocouple with colder junction at 0°C, ______________ .

(a) there will be no neutral temperature
(b) there will be no inversion temperature
(c) there will not be any thermo-emf even if the junctions are kept at different temperatures
(d) there will be no current in the thermocouple even if the junctions are kept at different temperatures


The 2.0 Ω resistor shown in the figure is dipped into a calorimeter containing water. The heat capacity of the calorimeter together with water is 2000 J K−1. (a) If the circuit is active for 15 minutes, what would be the rise in the temperature of the water? (b) Suppose the 6.0 Ω resistor gets burnt. What would be the rise in the temperature of the water in the next 15 minutes?


The figure shows an electrolyte of AgCl through which a current is passed. It is observed that 2.68 g of silver is deposited in 10 minutes on the cathode. Find the heat developed in the 20 Ω resistor during this period. Atomic weight of silver is 107.9 g/mol−1.


Find the thermo-emf developed in a copper-silver thermocouple when the junctions are kept at 0°C and 40°C. Use the data given in the following table.

Metal with lead (Pb)

a

`mu V"/"^oC`

b

`muV"/("^oC)`

Aluminium -0.47 0.003
Bismuth -43.7 -0.47
Copper 2.76 0.012
Gold 2.90 0.0093
Iron 16.6 -0.030
Nickel 19.1 -0.030
Platinum -1.79 -0.035
Silver 2.50 0.012
Steel 10.8 -0.016

Define temperature coefficient of resistance of the material of a conductor. 


An electrical cable of copper has just one wire of radius 9 mm. Its resistance is 5 ohm. This single copper wire of the cable is replaced by 6 different well insulated copper wires each of radius 3 mm. The total resistance of the cable will now be equal to ______.


In the absence of an electric field, the mean velocity of free electrons in a conductor at absolute temperature (T) is ______.

Appliances based on heating effect of current work on ______.

By increasing the temperature, the specific resistance of a conductor and a semiconductor -


The specific resistance of all the metals is the most affected by ______


Temperature dependence of resistivity ρ(T) of semiconductors, insulators and metals is significantly based on the following factors:

  1. number of charge carriers can change with temperature T.
  2. time interval between two successive collisions can depend on T.
  3. length of material can be a function of T.
  4. mass of carriers is a function of T.

The temperature (T) dependence of resistivity of materials A and material B is represented by fig (i) and fig (ii) respectively. Identify material A and material B.


fig. (i)

fig. (ii)

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