For which value of resistance R does the galv | vedclass

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(B) Since the galvanometer shows zero deflection,no current flows through the branch containing the galvanometer. This implies that the potential diff

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$100$

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(B) Since the galvanometer shows zero deflection,no current flows through the branch containing the galvanometer. This implies that the potential difference across the resistor $R$ must be equal to the electromotive force of the battery $A$,which is $2 	ext{ V}$.The circuit simplifies to a series combination of the $12 	ext{ V}$ battery,the $500 \Omega$ resistor,and the resistor $R$.The current $I$ flowing through the circuit is given by:$I = \frac{12 	ext{ V}}{500 \Omega + R}$The potential difference across resistor $R$ is given by $V = IR = 2 	ext{ V}$.Substituting the expression for $I$:$2 = \left( \frac{12}{500 + R} ight) R$$2(500 + R) = 12R$$1000 + 2R = 12R$$1000 = 10R$$R = 100 \Omega$Thus,the correct value of resistance is $100 \Omega$.

For which value of resistance $R$ does the galvanometer show zero deflection in the electrical circuit shown below (in $\Omega$)?

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