A series LCR circuit consists of , and . The input voltage is . The amplitude of current in the circuit is ______ A. [2023]

Question

A series LCR circuit consists of $R = 80 Ω$ , $X_{L} = 100 Ω$ and $X_{C} = 40 Ω$ . The input voltage is $2500 \cos (100 π t) V$ . The amplitude of current in the circuit is ______ A. [2023]

Smart Achievers · Accepted Answer

(25)

$ω = 100 π$

$So, Z = \sqrt{R^{2} + {(X_{L} - X_{C})}^{2}}$

$= \sqrt{80^{2} + {(100 - 40)}^{2}} = 100 Ω$

$i_{0} = \frac{V_{0}}{Z} = \frac{2500}{100} A = 25 A$

Solution

Q.
A series LCR circuit consists of $R = 80 Ω$ , $X_{L} = 100 Ω$ and $X_{C} = 40 Ω$ . The input voltage is $2500 \cos (100 π t) V$ . The amplitude of current in the circuit is ______ A. [2023]

Ans.
(25)

$ω = 100 π$

$So, Z = \sqrt{R^{2} + {(X_{L} - X_{C})}^{2}}$

$= \sqrt{80^{2} + {(100 - 40)}^{2}} = 100 Ω$

$i_{0} = \frac{V_{0}}{Z} = \frac{2500}{100} A = 25 A$

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Solution

Q. A series LCR circuit consists of R=80 Ω, XL=100 Ω and XC=40 Ω. The input voltage is 2500cos(100πt) V. The amplitude of current in the circuit is ______ A. [2023]

Ans. (25) ω=100π So, Z=R2+(XL-XC)2 =802+(100-40)2=100 Ω i0=V0Z=2500100 A=25 A

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Q.
A series LCR circuit consists of $R = 80 Ω$ , $X_{L} = 100 Ω$ and $X_{C} = 40 Ω$ . The input voltage is $2500 \cos (100 π t) V$ . The amplitude of current in the circuit is ______ A. [2023]

Ans.
(25)

$ω = 100 π$

$So, Z = \sqrt{R^{2} + {(X_{L} - X_{C})}^{2}}$

$= \sqrt{80^{2} + {(100 - 40)}^{2}} = 100 Ω$

$i_{0} = \frac{V_{0}}{Z} = \frac{2500}{100} A = 25 A$