A Maxwell bridge circuit ABCD has the following arm impedance:

AB, 250 Ω resistance; BC, 15 μF capacitor in parallel with a 10 kΩ resistor; CD, 400 Ω resistor; DA, unknown inductor having inductance L and resistance R.

The supply frequency is 50 Hz. If the bridge is balanced, which of the following is/are true?

1
R = 10 Ω
2
L = 1.5 H
3
The quality factor of the coil is 1.19
4
The quality factor of the coil is 4.71

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