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General
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Question

A steady current 4 A flows in an inductor coil when connected to a 12 V dc source as shown in figure 1. If the same coil is connected to an ac source of 12 V, 50 rad/s, a current of 2.4 A flows in the circuit as shown in figure 2. Now after these observations, a capacitor of capacitance fraction numerator 1 over denominator 50 end fraction F is connected in series with the coil and with the same AC source as shown in figure 3 :

The average power supplied to the circuit after connecting capacitance in series is approximately equal to:

  1. 24 W    
  2. 72 W    
  3. 144 W    
  4. None of these    

The correct answer is: 24 W

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A steady current 4 A flows in an inductor coil when connected to a 12 V dc source as shown in figure 1. If the same coil is connected to an ac source of 12 V, 50 rad/s, a current of 2.4 A flows in the circuit as shown in figure 2. Now after these observations, a capacitor of capacitance fraction numerator 1 over denominator 50 end fraction F is connected in series with the coil and with the same AC source as shown in figure 3 :

The resistance of the coil is :

A steady current 4 A flows in an inductor coil when connected to a 12 V dc source as shown in figure 1. If the same coil is connected to an ac source of 12 V, 50 rad/s, a current of 2.4 A flows in the circuit as shown in figure 2. Now after these observations, a capacitor of capacitance fraction numerator 1 over denominator 50 end fraction F is connected in series with the coil and with the same AC source as shown in figure 3 :

The resistance of the coil is :

physics-General
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A steady current 4 A flows in an inductor coil when connected to a 12 V dc source as shown in figure 1. If the same coil is connected to an ac source of 12 V, 50 rad/s, a current of 2.4 A flows in the circuit as shown in figure 2. Now after these observations, a capacitor of capacitance fraction numerator 1 over denominator 50 end fraction F is connected in series with the coil and with the same AC source as shown in figure 3 :

The inductance of the coil is nearly equal to

A steady current 4 A flows in an inductor coil when connected to a 12 V dc source as shown in figure 1. If the same coil is connected to an ac source of 12 V, 50 rad/s, a current of 2.4 A flows in the circuit as shown in figure 2. Now after these observations, a capacitor of capacitance fraction numerator 1 over denominator 50 end fraction F is connected in series with the coil and with the same AC source as shown in figure 3 :

The inductance of the coil is nearly equal to

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Statement-1 : In a series R,L,C circuit if V subscript R end subscript , V subscript L end subscript , and V subscript C end subscript denote rms voltage across R, L and C respectively and VS is the rms voltage across the source, then V subscript S end subscript equals V subscript R end subscript plus V subscript L end subscript plus V subscript C end subscript.

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In the circuit diagram shown, X subscript C end subscript equals 100 capital omega comma X subscript L end subscript equals 200 capital omega text  and  end text R equals 100 capital omega. The effective current through the source is:

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