Question

Unknown capacitance is found by using which of the following relation?

(a) Cx = \(\frac{C_3 R_2}{R_1}\)

(b) Cx = \(\frac{C_3}{R_2}\)

(c) Cx = \(\frac{C_3 R_1}{R_2}\)

(d) Cx = \(\frac{R_1}{R_2}\)

I had been asked this question by my college professor while I was bunking the class.

The origin of the question is Capacitance Comparison Bridge in division Measurement of Inductance and Capacitance of Electrical Measurements

Answer 1

The correct choice is (c) Cx = \(\frac{C_3 R_1}{R_2}\)

Easiest explanation: The value of unknown capacitance is found using the relation Cx = \(\frac{C_3 R_1}{R_2}\)  at balance condition.