Question

In: Physics

A. If an RLC circuit with a resistance of 450 Ω is in resonance, the phase...

A. If an RLC circuit with a resistance of 450 Ω is in resonance, the phase angle of the circuit is (1) positive, (2) zero, (3) negative.

B. A circuit has an inductive reactance of 280 Ω at 60 Hz. What value of capacitance would set this circuit into resonance ?

C. What is the inductance value ?

D. If the inductance doubles from the value in part (C) what is the circuit's phase angle now ?

Solutions

Expert Solution

A. If an RLC circuit with a resistance of 450 Ω is in resonance, the phase angle of the circuit is (2) zero.

B. Let the value of capacitance is C.

We know at resonance

  

  

The value of capacitance is 9.47350851710-6 F or 9.4710-6 F approximately.

C. Let the inductance value is H.

We know

  

     

  

The inductance value is 0.7427230678 H or 0.743 H approximately.

D. Let the phase angle is .

If the inductance doubles then-new inductive reactance becomes XL=2802 =560  .

The capacitor reactance XC=280  .

The resistance R=450 .

   Now the circuit's phase angle is

  

  

  

   Now the circuit's phase angle is 31.8907918o or 31.9o.

genius_generous answered 3 years ago
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