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The Potential Difference Across the Resistor is 160v and that Across the Inductor is 120v. Find the Effective Value of the Applied Voltage.

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प्रश्न

The potential difference across the resistor is 160V and that across the inductor is 120V. Find the  effective value of the applied voltage. If the effective current in the circuit be 1.0 A, calculate the total impedance of the circuit.

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संख्यात्मक
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उत्तर

eL = 120 V eL = i × L 

eR = 160V   eR = iR  

`R = e/i = 160/1 = 160 Ω `

 `X_L = 120/1 = 120  Ω `

 `Z = sqrt(R^2 + X_L^2 `

` = sqrt ((160)^2 + (120)^2)`

` = sqrt( 25600  + 14400)`

` = sqrt(40000)`

`Z = sqrt( 4 xx 1.4 ) = 200  Omega`

 Z = 200 Ω

effecience voltage

e = iZ 

e = i × 200 = 200V

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2018-2019 (March) 55/3/3

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