Take the potential of the point B in figure (31-E7) to be zero. (a) Find the potentials at the points C and D. (b) If a capacitor is connected between C and D, what charge will appear on this capacitor ?

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Solution

(a) Charge on the path $Δ A D B$ is equal to

$= C \times V$

$= 2 μ F \times 50 = 100 μ F$

Potential at point D is

$= \frac{q}{C_{1}} = \frac{100 μ C}{6 μ F}$

$= \frac{50}{3} V$

Similarly potential at point C is equal to

$= \frac{50}{3} V$

(b) No any charge because the potential difference between C and D point is zero.

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Take the potential of the point B in figure (31-E7) to be zero. (a) Find the potentials at the points C and D. (b) If a capacitor is connected between C and D, what charge will appear on this capacitor ?

(a) Charge on the path ΔADB is equal to =C×V =2 μF×50=100 μF Potential at point D is =qC1=100 μC6 μF =503V Similarly potential at point C is equal to =503V (b) No any charge because the potential difference between C and D point is zero.