The Network Shown Is Assembled with Uncharged Capacitors $X , Y$

question 85

Multiple Choice

The network shown is assembled with uncharged capacitors $X , Y$ , and $Z$ , with $C X = 8$ .- $\mu F$ , $C _ { Y } = 9 . - \mu F$ and $C _ { Z } = 1.0 \mu F$ . The switches $S _ { 1 }$ and $S _ { 2 }$ are initially open, and a potential difference $V _ { a b } = 120 \mathrm {~V}$ is applied between points $a$ and $b$ . After the network is assembled, switch $\mathrm { S } _ { 1 }$ is then closed, but switch $S _ { 2 }$ is kept open. How much charge is finally stored in capacitor $Y$ ?

• A) \(160 \mu \mathrm { C }\)
• B) \(140 \mu \mathrm { C }\)
• C) \(81 \mu \mathrm { C }\)
• D) \(110 \mu \mathrm { C }\)
• E) \(54 \mu \mathrm { C }\)

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Definitions:

Regression Line

A statistical line of best fit that describes the relationship between one dependent variable and one or more independent variables.

Linear Regression Model

A statistical method for predicting the value of a dependent variable based on the value(s) of one or more independent variables, assuming a linear relationship.

Slope

Refers to the measure of the steepness, incline, or grade of a line, indicating the rate at which the dependent variable changes over the independent variable.

Residuals

Differences between observed and predicted values in a statistical model, representing unexplained variation.