211. The circuit shown in figure has two sources connected in series. The instantaneous voltage of AC source (in volt) is given by v(t) = 12sin t. If the circuit is in steady-state, then the rms value of current (in Ampere) flowing in circuit is _______.
     

1. 1. 0

   
   
   

   2. 1

   
   
   

   3. 5

   
   
   

   4. 10

   
   
   

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1. View Hint View Answer Discuss in Forum

   
   Applying superposition theorem, Consider D.C. source
   
   

   I =	V	=	8	= 8 Amp
   	R		1

   
   Consider A.C. source
   
   X_L = ωL = 1 × 1 = 1 Ω
   

   Vrms =	Vm	=	12	= 6 √2 Volt
   	√2		√2

   
   
   = √2 Ω
   

   Irms =	Vrms	=	6 √2	= 6 Amp
   	Z		√2

   
   We know that, (I_rms)² = (I_dc)² + (I_ac)²
   = (8)² + (6)² = 64 + 36 = 100
   I _rms = 10 Amp
   

   Correct Option: D

   
   Applying superposition theorem, Consider D.C. source
   
   

   I =	V	=	8	= 8 Amp
   	R		1

   
   Consider A.C. source
   
   X_L = ωL = 1 × 1 = 1 Ω
   

   Vrms =	Vm	=	12	= 6 √2 Volt
   	√2		√2

   
   
   = √2 Ω
   

   Irms =	Vrms	=	6 √2	= 6 Amp
   	Z		√2

   
   We know that, (I_rms)² = (I_dc)² + (I_ac)²
   = (8)² + (6)² = 64 + 36 = 100
   I _rms = 10 Amp
   

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212. A circular turn of radius 1 m revolves at 60 rpm about its diameter aligned with the x-axis as shown in the figure. The value of μ₀ is 4π × 10^{– 7} in SI unit. If a uniform magnetic field intensity ^→H = 10⁷ ẑ A/m is applied, then the peak value of the inducted voltage, Vturn (in volts), is ______.
     

1. 1. 246– 250

   
   
   

   2. 146– 250

   
   
   

   3. 246– 350

   
   
   

   4. 146– 350

   
   
   

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1. View Hint View Answer Discuss in Forum

   The given circuit represents wheatstone bride. Hence current in the 2 Ω circuit is zero.

   Correct Option: A

   The given circuit represents wheatstone bride. Hence current in the 2 Ω circuit is zero.

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213. The current i (in Ampere) in the 2Ω resistor of the given network is _____________.
     

1. 1. 0

   
   
   

   2. 1

   
   
   

   3. 2

   
   
   

   4. 3

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA
   

   Correct Option: A

   NA
   

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214. Two identical coils each having inductance L are placed together on the same core. If an over all inductance of αL is obtained by interconnecting these two coils, the minimum value of α is ______.

1. 1. 10

   
   
   

   2. 0.1

   
   
   

   3. 0

   
   
   

   4. 10

   
   
   

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1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: C

   NA

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215. The time-constant of the network shown in the figure is
     
     

1. 1. CR
      

   
   
   

   2. 2 CR
      

   
   
   

   3. 	CR
      	4

      
      

   
   
   

   4. 	CR
      	2

      
      

   
   
   

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1. View Hint View Answer Discuss in Forum

   Time constant =	R	× RC = RC
   	2

   Correct Option: A

   Time constant =	R	× RC = RC
   	2

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