(a) What is the potential of point a with respect to point b in Fig. P26.75 when the switch S is open? (b) Which point, a or b, is at the higher potential? (c) What is the final potential of point b with respect to ground when S is closed? (d) How much does the charge on each capacitor change when S is closed?

Short Answer

Expert verified

(a) \({V_{ab}} = 18{\rm{V}}\)

Step by step solution

01

Given information

\(\)

Resistor one =\(6\Omega \)

\(\)

Resistor two =\(3\Omega \)

\(\)

The resistor connected by = \({\rm{6 - }}\mu {\rm{F}}\) and \({\rm{3 - }}\mu {\rm{F}}\) \(\)

Voltage \({\rm{V = 18 V}}\)

\(\)

02

Resistor

The passive two terminal electrical component by which electrical resistance get implemented as a circuit element is known as resistor R.

\(\begin{aligned}{R_{Total}} = {R_1} + {R_2} + {R_3} + ...(series)\\{R_{Total}} = \frac{1}{{{R_1}}} + \frac{1}{{{R_2}}} + \frac{1}{{{R_3}}} + ...(parallel)\\R = \frac{V}{I}\\V = voltage\\I = current\end{aligned}\)

03

(a) Potential of a

With an open switch

\(\begin{aligned}{V_{ab}} = \varepsilon \\{V_{ab}} = 18{\rm{V}}\end{aligned}\)

Where \(\varepsilon \) is given voltage.

\(\)

\(\)

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