When two identical batteries of internal resistance 1 Ω Ω each are connected in series across a resistor R, the rate of heat produced in R is J 1 . When the same batteries are connected in parallel across R, the rate is J 2 . If J 1 = 2.25 J 2 the value of R in Ω Ω is:
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(4)
Sol.
i = 
J 1 = 
R
ε eq = 
= ε
r eq = 
⇒ i = 
= 
J 2 = 
R
Given J 1 = 
J 2
⇒ 
R = 
R
⇒ 
= 
⇒ 2 + 4R = 6 + 3R
⇒ R = 4 Ω Ω .
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