Five capacitors are connected across a potential difference V ab as shown in Fig

Question

Five capacitors are connected across a potential difference Vab as shown in Fig. Because of the dielectrics used, each capacitor will break down if the potential across it is V=61 V. What should be the value of Vab(with one decimal place) if you reach the break down voltage one of the capacitor.

Five capacitors are connected across a potential difference Vab as shown in Fig. Because of the dielectrics used, each capacitor will break down if the potential across it is V=61 V. What should be the value of Vab (with one decimal place) if you reach the break down voltage one of the capacitor.

Explanation / Answer

At break down, the 5uF capacitor will have a charge of 5 * 61 = 305 uC

The voltage on the 10 uF will be 305 / 10 = 30.5v
voltage on the 15 uF will be 305 / 15 = 20.33 v
voltage on the 25 uF will be 305 / 25 = 12.2 v
voltage on the 45 uF will be 305 / 45 = 6.77 v

The total voltage Vab will be 61 + 30.5 + 20.33+ 12.2 + 6 .77

= 130.8 volts.

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