JEE Advanced 2010 Physics question

PhysicsCurrent ElectricityJEE Advanced 2010

When two identical batteries of internal resistance each are connected in series across a resistor R, the rate of heat produced in R is . When the same batteries are connected in parallel across R, the rate is . If then the value of R in is

Answer: 4

Solution

Let each battery have emf E and internal resistance . Series: total emf 2E, total internal resistance , so and . Parallel: emf E, internal resistance , so $ =

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Question ID VK-025810