JEE Main 2016PhysicsCurrent ElectricityElectric Power And Heating Effect Of CurrentmediumMCQ

JEE Main 2016Current Electricity Question with Solution

From: JEE Main 2016 (Online) 9th April Morning Slot

Question

JEE Main 2016 (Online) 9th April Morning Slot Physics - Current Electricity Question 286 English
In the circuit shown, the resistance r is a variable resistance. If for r = fR, the heat generation in r is maximum then the value of f is :

This question includes a diagram. The text above accompanies the figure.

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

Here equivalent resistance

Req = R +

=  R +

=   R +

=  

Circuit current,

=

=   

Current in the resistance r,

I = =

Heat generated in r,

H =

=  

For maximum H,

= 0

    = 0

   2f + 1 = 4f

   2f = 1

   f =

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About this question

This is a previous-year question from JEE Main 2016, covering the Current Electricity chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.