The circuit shown below is powered by an AC source of AVme = 11.0 V at a frequency of 60.0 Hz and consists of two resistors of equal resistance R, a capacitor C, an inductor L, and a double throw switch S.

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Chapter1: Units, Trigonometry. And Vectors
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The circuit shown below is powered by an AC source of AVrms = 11.0 V at a frequency of 60.0 Hz and consists of two resistors of equal resistance R, a capacitor C, an inductor L, and a double throw switch S.
AVms
When the switch is open as shown in the figure, the rms current is 187 mA. When the switch is closed in position a, the rms current is 290 mA. When the switch is closed in position b, the rms current is 137 mA.
(a) Determine the possible values of R. (Enter your answers, in n, from smallest to largest. Enter NONE in any unused answer blanks.)
smaller
value
Enter a number. en the switch is open, write expressions for the impedance in terms of the rms voltage and current and also in terms of the resistance and reactance. Equate these expressions to
get a new equation (1). Go through the same process for the case when the switch is at position a to get a second equation (2). Use these two equations (1) and (2) to determine the resistance.
larger
NONE
value
(b) Determine the possible values of C. (Enter your answers, in µF, from smallest to largest. Enter NONE in any unused answer blanks.)
smaller value
pF
larger value
NONE
v pF
(c) Determine the possible values of L. (Enter your answers, in mH, from smallest to largest. Enter NONE in any unused answer blanks.)
smaller value
mH
larger value
mH
Transcribed Image Text:The circuit shown below is powered by an AC source of AVrms = 11.0 V at a frequency of 60.0 Hz and consists of two resistors of equal resistance R, a capacitor C, an inductor L, and a double throw switch S. AVms When the switch is open as shown in the figure, the rms current is 187 mA. When the switch is closed in position a, the rms current is 290 mA. When the switch is closed in position b, the rms current is 137 mA. (a) Determine the possible values of R. (Enter your answers, in n, from smallest to largest. Enter NONE in any unused answer blanks.) smaller value Enter a number. en the switch is open, write expressions for the impedance in terms of the rms voltage and current and also in terms of the resistance and reactance. Equate these expressions to get a new equation (1). Go through the same process for the case when the switch is at position a to get a second equation (2). Use these two equations (1) and (2) to determine the resistance. larger NONE value (b) Determine the possible values of C. (Enter your answers, in µF, from smallest to largest. Enter NONE in any unused answer blanks.) smaller value pF larger value NONE v pF (c) Determine the possible values of L. (Enter your answers, in mH, from smallest to largest. Enter NONE in any unused answer blanks.) smaller value mH larger value mH
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