Home
Class 12
PHYSICS
In the circuit shown the resistance R is...

In the circuit shown the resistance R is kept in a chamber whose temperature. is `20^(@)`C which remains constant. The initial temperature and resistance of R is `50^(@)C` and `15 Omega`respectively. The rate of change of resistance R with temperature is `(1)/(2)Omega//^(@)C` and the rate of decrease of temperature of R is In`(3//100)` times the temperature difference from the surrounding (Assume the resistance R loses heat only in accordance with Newton's law of cooling) If K is closed at t = 0, then find the
(a) value of. R for which power dissipation in it is maximum.
(b) temperature of R when power dissipation is maximum
(c) time after which the power dissipation will be maximum

Text Solution

Verified by Experts

(a) `50Omega`
(b) `30^(@)C`
(c) `100 sec`
Promotional Banner

Topper's Solved these Questions

  • CURRENT ELECTRICITY

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE)(Level-1)|45 Videos

  • CURRENT ELECTRICITY

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE)(Level-II)|20 Videos

  • CURRENT ELECTRICITY

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE)(Level-1)|15 Videos

  • COLLISION

    FIITJEE|Exercise (NUMERICAL BASED QUESTIONS)|4 Videos

  • ELASTICITY AND WAVES

    FIITJEE|Exercise Assignment Problems (Objective) Level-II|15 Videos

Similar Questions

Explore conceptually related problems

The ratio of the resistances of a conductor at a temperature of 15^(@)C to its resistance at a temperature of 37.5^(@)C is 4:5 . The temperature coefficient of resistance of the conductor is

The resistance of a wire at 0^(@) C and 100^(@) C is 5.2Omega and 7.85Omega , respectively. Calcualte the mean temperature coefficient of resistance of the material of the wire.

A : Rate constant increases with temperature. R : Rate of exothermic reaction increases with temperature.

The resistance of a coi is 4.2Omega at 100^(@)C and the temperature coefficient of resistance of its material is (0.004)/(.^(@)C) . Its resistance at 0^(@)C is

If the resistance of a conductor is 5 Omega at 50^(@)C and 7Omega at 100^(@)C then the mean temperature coefficient of resistance of the material is

The resistance of a resistance thermometer has values 2.70Omega and 3.70Omega at 0^(@)C and 100^(@)C respectively. The temperature at which the resistance is 3.10 Omega is

For a small temperature difference between the body and the surroundings the relation between the rate of loss heat R and the temperature of the body is depicted by

The resistance of a resistance thermometer at 19^(@)C is 3.50 Omega and at 99^(@)C is 3.66 Omega . At what temperature will its resistance be 4. 30 Omega ?

A conducting wire has resistance 16 Omega at 15^0 C and 20 Omega at 100^0 C find temperature of coeffecient of resistance

The temperature coefficient of resistance for a wire is 0.00125^(@)C^(-1) . At 300 K its resistance is 1Omega . The temperature at which the resistance becomes 2Omega is