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In the circuit, the galvanometer  G   shows zero deflection. If the batteries A and B  have negligible internal resistance the value of the resistor  R   will be  

 

  • Option 1)

    500\Omega

  • Option 2)

    1000\Omega

  • Option 3)

    200\Omega

  • Option 4)

    100\Omega

 

Answers (2)

As we discussed in

Current through any resistance -

i'=i(\frac{Resistance\, of \, opposite \, Branch}{total\, Resistance})

- wherein

 

I_{1}=I_{2}

\frac{12}{500+R}=\frac{2}{R}

=>12R =1000+2R

\therefore R=100 \Omega

 


Option 1)

500\Omega

This answer is incorrect.

Option 2)

1000\Omega

This answer is incorrect.

Option 3)

200\Omega

This answer is incorrect.

Option 4)

100\Omega

This answer is correct.

Posted by

Vakul

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