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An Inductor-coil, a Capacitor and an Ac Source of Rms Voltage 24 V Are Connected in Series. When the Frequency of the Source is Varied, a Maximum Rms Current of 6.0 a is Observed. - Physics

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प्रश्न

An inductor-coil, a capacitor and an AC source of rms voltage 24 V are connected in series. When the frequency of the source is varied, a maximum rms current of 6.0 A is observed. If this inductor coil is connected to a battery of emf 12 V and internal resistance 4.0 Ω, what will be the current?

योग

उत्तर

RMS value of voltageErms = 24 V
Internal resistance of battery, r = 4 Ω
RMS value of current, Irms = 6 A
Reactance (R) is given by,
`R = E/I_{rms}`
`rArr R = 24/6 =4 Ω`
Let R' be the total resistance of the circuit. Then,
   R' = R + r
`rArr R = 4Ω + 4Ω `
`rArr R = 8 Ω `
Current, I = `12/8 A`
                = 1.5 A

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Different Types of AC Circuits: AC Voltage Applied to an Inductor
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 17: Alternating Current - Exercises [पृष्ठ ३३०]

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एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
अध्याय 17 Alternating Current
Exercises | Q 17 | पृष्ठ ३३०

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