Question
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 -
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 -
A.
$$100\Omega $$
B.
$$200\Omega $$
C.
$$1000\Omega $$
D.
$$500\Omega $$
Answer :
$$100\Omega $$
Solution :
$$\eqalign{ & iR = 2 = 12 - 500i\,\,\therefore i = \frac{1}{{50}} \cr & \therefore \frac{1}{{50}} \times R = 2 \cr & \therefore R = 100\Omega \cr} $$
$$\eqalign{ & iR = 2 = 12 - 500i\,\,\therefore i = \frac{1}{{50}} \cr & \therefore \frac{1}{{50}} \times R = 2 \cr & \therefore R = 100\Omega \cr} $$
