(h) What is the impedance of the RLC circuit as a whole at this frequency? How d

Question

(h) What is the impedance of the RLC circuit as a whole at this frequency? How does it compare to what you got in part b ?

(i) What is the maximum current that flows in the circuit? (In other words, the amplitude of the oscillating current that flows in the circuit.) How does it compare to what you got in part c ?

(j) What is the maximum potential difference across the resistor as the circuit oscillates?

(k) What is the maximum potential difference across the capacitor as the circuit oscillates?

In part k, you should have found that the amplitude of the voltage across the capacitor is significantly larger than the 12-volt amplitude driving the circuit! Continuous small “pushing” at the resonant frequency can produce large oscillations, kind of like “pumping” a playground swing with your legs.

Explanation / Answer

Here ,

at w = 315 rad/s

a)

Xc = -1/(w * C)

Xc = -1/(315 *12 *10^-6)

Xc = - 264.6 Ohm

ractance of L , XL = w * L

XL = 2.12 * 315

XL = 667.8 Ohm

b)

Impdance of RLC = 8.9 + (667.8 - 264.6) j

Z = 8.9 + 403.4 j

Z = sqrt(8.9^2 + 403.4^2)

Z = 403.5 Ohm

the imoedance of 403.5 Ohm

c)

maximum current = 12/403.5

maximum current = 0.0297 A

the maximum current is 0.0297 A
d)

for the potential difference = 0.0297 * 8.9

the potential difference = 0.264 V

the the potential difference across the resistance is 0.264 V

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