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Conductivity and Resistivity

When the same...

Question

When the same voltmeter is connected across the $300 Ω$ resistor,it will read

A

40 V

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B

22.5 V

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C

37.5 V

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D

25 V

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Solution

The correct option is B 22.5 V
$\begin{matrix} A c c o r d i n g t o q u e s t i o n . . . . . . . . . . . . . t h e e q u i v a l e n t r e s i s t a n c e o f t h e c o m b i n a t i o n i s : \frac{300 \times 1200}{300 + 1200} = 240 Ω N o w, t h e t o t a l r e s i s t a n c e a c r o s s t h e b a t t e r y = 240 + 400 = 640 Ω P o t e n t i a l d i f f e r e n c e a c r o s s t h e c o m b i n a t i o : = \frac{240}{640} \times 60 = 22.4 V [V = V o l t m e t e r s o t h e c o r r e c t o p t i o n i s B . \end{matrix}$

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