Find the inductive reactance of the circuit.

+2 votes

An AC source has an output rms voltage of 96.5 V at a frequency of 61.5 Hz. The source is connected across a 29.5-mH inductor.

(a) Find the inductive reactance of the circuit.
 Ω

(b) Find the rms current in the circuit.
 A

(c) Find the maximum current in the circuit.
 A
asked Mar 19, 2012 in Physics by yoshi ~Expert~ (919 points)
    

1 Answer

+1 vote
 
Best answer

Part A:

Inductive reactance is defined as:

Inductive Reactance = angular frequency* inductance  (*Inductive reactance is often denoted by XL  and angular frequency = ω, and inductance = L)

angular frequency = 2*pi*frequency

plugging back in angular frequency you can solve for Inductive Resistance.

 

Part B:

Rms Current is found using Ohm's Law:

Rms Current = Rms Voltage / Resistance   (*where the resistance is the indcutive reactance from part A)

 

Part C:

Max current is simply:

Max current = 2 * Rms Current

answered Mar 24, 2012 by pokemonmaster ~Expert~ (3,856 points)
edited Mar 25, 2012 by pokemonmaster

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