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Question

Physics Question on Combination of Resistors — Series and Parallel

10 resistors, each of resistance R are connected in series to a battery of emf E and negligible internal resistance. Then those are connected in parallel to the same battery, the current is increased n times. The value of n is:

A

100

B

1

C

1000

D

10

Answer

100

Explanation

Solution

Is=E10RI_s=\frac{E}{10R} ……….(1)

Ip=ER10=10ERI_p=\frac{E}{\frac{R}{10}}=\frac{10E}{R} ……..(2)

According to eq. (1) and (2)

n=IpIs=100n=\frac{I_p}{I_s}=100

n=100\Rightarrow n=100

So, the correct answer is option (A): 100