Two capacitors of capacitances and are to be connected in series so that the…

PHYSICS · Multi-part · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

Two capacitors of capacitances 8 μF8\,\mu\text{F} and CxC_x are to be connected in series so that the combination has an equivalent capacitance of exactly 3 μF3\,\mu\text{F}. (i) Calculate the value of the unknown capacitance CxC_x. (ii) The series pair obtained in part (i) is connected across a 90 V90\,\text{V} d.c. supply. Find the charge on each capacitor and the potential difference across each. (iii) If both capacitors are rated for a maximum working voltage of 50 V50\,\text{V}, state with proper calculation whether either capacitor will be subjected to a voltage exceeding its rating.

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