Consider the circuit shown in the figure below. The ac generator in this circuit

Question

Consider the circuit shown in the figure below. The ac generator in this circuit has an rms voltage of 55 V. The circuit-element values are R = 12 ? and L = 0.22 mH.

(a) Find the rms current in this circuit in the limit of high frequency.
A

(b) Find the rms current in this circuit in the limit of low frequency.
A

Consider the circuit shown in the figure below. The ac generator in this circuit has an rms voltage of 55 V. The circuit-element values are R = 12 ? and L = 0.22 mH. (a) Find the rms current in this circuit in the limit of high frequency. A (b) Find the rms current in this circuit in the limit of low frequency. A

Explanation / Answer

Reactance of L = XL = j*omga*L

omega = 2*pi*f

f = Frequency

(a):

at very high frequency

XL = ver very very high value such that it tends to infinity

therefore upper branch of circuit behaves as open circuit, hence

I (rms) = V(rms) / R = 55/12 A

(b):

at very low frequency XL becomesvery very very small such that it tends to zero

and the Inductor in upper branch of the circuit behaves as a resistor with zero ohm resistance, hence

I(rms) = V(rms) / (R net) = 55 / (12||12) = 55/6 A

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