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  4. A meter bridge setup is shown in the figure. It is used to determine an unknown resistance R using a given resistor of 15 Ω. The galvanometer (G) shows null deflection when tapping key is at 43 cm mark from end A. If the end correction for end A is 2 cm. then the determined value of R will be Ω.

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Q. A meter bridge setup is shown in the figure. It is used to determine an unknown resistance $R$ using a given resistor of $15\, \Omega$. The galvanometer $(G)$ shows null deflection when tapping key is at $43\, cm$ mark from end $A$. If the end correction for end $A$ is $2\, cm$. then the determined value of $R$ will be _________$\Omega$.Physics Question Image

JEE MainJEE Main 2022Current Electricity

Solution:

Using the conditions of a balanced wheat stone bridge and adding the end correction.
$\frac{15}{(43+2)}=\frac{ R }{(102-45)}$
$ \Rightarrow R =\frac{57}{45} \times 15$
$ R =19 \,\Omega$