JEE Advanced2010PhysicsCurrent ElectricityActual
When two identical batteries of internal resistance 1 each are connected in series across a resistor R , the rate of heat produced in R is J₁ . When the same batteries are connected in parallel across R , the rate is J₂ . If J₁=2.25 J₂ then the value of R in is
Correct answer
0
Step-by-step solution
In series, i= 2 E 2+R J₁=i^2 R= ( 2 E 2+R )^2 R In parallel, i= E 0.5+R aligned J₂ & =i^2 R= ( E 0.5+R )^2 R J₁ J₂ & =2.25= 4(0.5+R)^2 (2+R)^2 aligned or 1.5= 2(0.5+R) (2+R) Solving we get, R=4 The answer is 4 .