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A 220V, 50Hz ac source is connected to a coil having coefficient of self-induction of 1H and a resistance of 400 n. Calculate: 1. the reactance of the coil. 2. the impedance of the coil. - Physics (Theory)

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प्रश्न

A 220V, 50Hz ac source is connected to a coil having coefficient of self-induction of 1H and a resistance of 400 Ω. Calculate:

  1. the reactance of the coil.
  2. the impedance of the coil.
  3. the current flowing through the coil.
संख्यात्मक

उत्तर

1. Reactance of coil, XL= `2pi f L`

= 2 × 3.14 × 50 × 1 Ω

= 314 Ω

2. Impedance of coil,

Z = `sqrt(R^2 + X_L^2)`

= `sqrt(400^2 + 314^2)`

= `sqrt(160000 + 98596)`

= `sqrt(258596)`

= 508.5 Ω

3. Current flowing in coil, `I =V/Z`

= `220/508.5  A`

= 0.43 A 

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